So it turns out there are lots of ways to unambiguously identify the levels of the hierarchy without numbered components.

gistfile1.txt

<c level="Zeus">
    <c level="Hera"> 
        <c level="Poseidon"> 
            <c level="Demeter"> 
                <c level="Athena"> 
                    <c level="Hestia"> 
                        <c level="Apollo"> 
                            <c level="Artemis"> 
                                <c level="Ares"> 
                                    <c level="Aphrodite"> 
                                        <c level="Hephaestus"> 
                                            <c level="Hermes">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="Reuben">
    <c level="Simeon"> 
        <c level="Levi"> 
            <c level="Judah"> 
                <c level="Dan"> 
                    <c level="Naphtali"> 
                        <c level="Gad"> 
                            <c level="Asher"> 
                                <c level="Issachar"> 
                                    <c level="Zebulun"> 
                                        <c level="Joseph"> 
                                            <c level="Benjamin">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="Twelve Drummers Drumming">
    <c level="Eleven Pipers Piping"> 
        <c level="Ten Lords-a-Leaping"> 
            <c level="Nin Ladies Dancing"> 
                <c level="Eight Maids-a-Milking"> 
                    <c level="Seven Swans-a-Swimming"> 
                        <c level="Six Geese-a-Laying"> 
                            <c level="Five Gold Rings"> 
                                <c level="Four Colly Birds"> 
                                    <c level="Three French Hens"> 
                                        <c level="Two Turtle Doves"> 
                                            <c level="A Partridge in a Pear Tree">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="علي بن أبي طالب">
    <c level="حسن بن علي"> 
        <c level="حسین بن علي"> 
            <c level="علي بن الحسین"> 
                <c level="محمد بن علي"> 
                    <c level="جعفر بن محمد"> 
                        <c level="موسی بن جعفر"> 
                            <c level="علي بن موسی"> 
                                <c level="محمد بن علي"> 
                                    <c level="علي بن محمد"> 
                                        <c level="الحسن بن علي"> 
                                            <c level="محمد بن الحسن">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="ॐ मित्राय नम">
    <c level="ॐ रवये नमः"> 
        <c level="ॐ सूर्याय नम"> 
            <c level="ॐ भानवे नम"> 
                <c level="ॐ खगाय नम"> 
                    <c level="ॐ पुष्णे नम"> 
                        <c level="ॐ हिरण्यगर्भाय नम"> 
                            <c level="ॐ मारिचाये नम"> 
                                <c level="ॐ आदित्याय नम"> 
                                    <c level="ॐ सावित्रे नम"> 
                                        <c level="ॐ अर्काय नम"> 
                                            <c level="ॐ भास्कराय नम">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="Slay the Nemean Lion">
    <c level="Slay the nine-headed Lernaean Hydra"> 
        <c level="Capture the Golden Hind of Artemis"> 
            <c level="Capture the Erymanthian Boar"> 
                <c level="Clean the Augean stables in a single day"> 
                    <c level="Slay the Stymphalian Birds"> 
                        <c level="Capture the Cretan Bull"> 
                            <c level="Steal the Mares of Diomedes"> 
                                <c level="Obtain the girdle of Hippolyta, Queen of the Amazons"> 
                                    <c level="Obtain the cattle of the monster Geryon"> 
                                        <c level="Steal the apples of the Hesperides"> 
                                            <c level="Capture and bring back Cerberus">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="January">
    <c level="February"> 
        <c level="March"> 
            <c level="April"> 
                <c level="May"> 
                    <c level="June"> 
                        <c level="July"> 
                            <c level="August"> 
                                <c level="September"> 
                                    <c level="October"> 
                                        <c level="November"> 
                                            <c level="December">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="Aries">
    <c level="Taurus"> 
        <c level="Gemeni"> 
            <c level="Cancer"> 
                <c level="Leo"> 
                    <c level="Virgo"> 
                        <c level="Libra"> 
                            <c level="Scorpio"> 
                                <c level="Sagittarius"> 
                                    <c level="Capricorn"> 
                                        <c level="Aquarius"> 
                                            <c level="Pisces">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="F1">
    <c level="F2"> 
        <c level="F3"> 
            <c level="F4"> 
                <c level="F5"> 
                    <c level="F6"> 
                        <c level="F7"> 
                            <c level="F8"> 
                                <c level="F9"> 
                                    <c level="F10"> 
                                        <c level="F11"> 
                                            <c level="F12">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>
<c level="Neil Armstrong">
    <c level="Buzz Aldrin"> 
        <c level="Pete Conrad"> 
            <c level="Alan Bean"> 
                <c level="Alan Shepard"> 
                    <c level="Edgar Mitchell"> 
                        <c level="David Scott"> 
                            <c level="James Irwin"> 
                                <c level="John W. Young"> 
                                    <c level="Charles Duke"> 
                                        <c level="Eugene Cernan"> 
                                            <c level="Harrison Schmitt">
                                            </c>
                                        </c>
                                    </c>
                                </c>
                            </c>
                        </c>
                    </c>
                </c>
            </c>
        </c>
    </c>
</c>