Paper Citation Record · LEDGER

Parity of $k$-differentials in genus zero and one

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 2 inbound Pith citation observations for arXiv:2602.03722.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2602.03722 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:58:18.615928Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:16:45.127711Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T06:05:58.133646Z

Reference resolution

19 of 19 outbound references displayed

verified exact8
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation af3d6645-e3f3-4693-9cc8-3358619418fd · outbound

This paper cites an unresolved cited work.

Parity of $k$-differentials in genus zero and one Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.101155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09c57fbf-c596-48f7-8759-2c6d846f51ee · outbound

This paper cites Strata ofk-differentials.Algebr.

Parity of $k$-differentials in genus zero and one Strata ofk-differentials.Algebr

Reference 2

Resolution: verified exact; doi, observed 2026-08-03T04:58:28.722041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e19d9c29-82a7-4c19-87f9-17a54306f703 · outbound

This paper cites Connected components of the strata of the moduli space of meromorphic differentials.Comment.

Parity of $k$-differentials in genus zero and one Connected components of the strata of the moduli space of meromorphic differentials.Comment

Reference 3

Resolution: verified exact; doi, observed 2026-08-03T04:58:28.603135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a10ec9a5-0f73-4b1a-a04b-fd94ad76001e · outbound

This paper cites Teichm¨ uller dynamics in the eyes of an algebraic geometer.

Parity of $k$-differentials in genus zero and one Teichm¨ uller dynamics in the eyes of an algebraic geometer

Reference 4

Resolution: verified exact; doi, observed 2026-08-03T04:58:28.456967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8b6b51c5-a2c8-475e-aa45-e5c1c4cc8478 · outbound

This paper cites Towards a classification of connected components of the strata ofk-differentials.Doc.

Parity of $k$-differentials in genus zero and one Towards a classification of connected components of the strata ofk-differentials.Doc

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.406683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7871f16-61c8-4e78-9036-90b0abd102dc · outbound

This paper cites Quadratic differentials in low genus: exceptional and non- varying strata.Ann.

Parity of $k$-differentials in genus zero and one Quadratic differentials in low genus: exceptional and non- varying strata.Ann

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.482214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fd9d18a-2a86-4f4c-b750-699cafdbe570 · outbound

This paper cites The Lean theorem prover (system description).

Parity of $k$-differentials in genus zero and one The Lean theorem prover (system description)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.610190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bcfc1a0-6157-42d4-a4d1-7dd0f5389bbc · outbound

This paper cites an unresolved cited work.

Parity of $k$-differentials in genus zero and one Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.699657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f15ac2c-a064-4ed0-8ec7-a6af482f23ee · outbound

This paper cites Spin structures and quadratic forms on surfaces.J.

Parity of $k$-differentials in genus zero and one Spin structures and quadratic forms on surfaces.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.731056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f760a5c2-cd2a-49a3-8fe0-34e961d1078d · outbound

This paper cites Connected components of the moduli spaces of Abelian differentials with prescribed singularities.Invent.

Parity of $k$-differentials in genus zero and one Connected components of the moduli spaces of Abelian differentials with prescribed singularities.Invent

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:17.760486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be723571-2cc6-4819-8e52-51102aeb1fe7 · outbound

This paper cites Hyperelliptic components of the moduli spaces of quadratic differen- tials with prescribed singularities.Comment.

Parity of $k$-differentials in genus zero and one Hyperelliptic components of the moduli spaces of quadratic differen- tials with prescribed singularities.Comment

Reference 11

Resolution: verified exact; doi, observed 2026-08-03T04:58:28.022188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 03e2402e-c847-459b-845a-e41f134bae90 · outbound

This paper cites Parity of the Spin structure defined by a quadratic differential.Geom.

Parity of $k$-differentials in genus zero and one Parity of the Spin structure defined by a quadratic differential.Geom

Reference 12

Resolution: verified exact; doi, observed 2026-08-03T04:58:27.790306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 352aeae9-db83-40ea-b479-2acc4078b4bb · outbound

This paper cites Connected components of the strata of the moduli spaces of quadratic differentials.Ann.

Parity of $k$-differentials in genus zero and one Connected components of the strata of the moduli spaces of quadratic differentials.Ann

Reference 13

Resolution: verified exact; doi, observed 2026-08-03T04:58:27.562559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8fda65e-774c-404c-9250-37ae04586763 · outbound

This paper cites Theta characteristics of an algebraic curve.Ann.

Parity of $k$-differentials in genus zero and one Theta characteristics of an algebraic curve.Ann

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:18.275836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20b3c02b-d511-403c-843e-959eb0960074 · outbound

This paper cites Tangedal.

Parity of $k$-differentials in genus zero and one Tangedal

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:18.384761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81f9740c-5c8a-45ab-9115-c2806f9d6c9d · outbound

This paper cites The Lean mathematical library.

Parity of $k$-differentials in genus zero and one The Lean mathematical library

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:18.558055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a926f84e-cc6c-4354-951e-d17254d85bf6 · outbound

This paper cites Translation surfaces and their orbit closures: an introduction for a broad audience.EMS Surv.

Parity of $k$-differentials in genus zero and one Translation surfaces and their orbit closures: an introduction for a broad audience.EMS Surv

Reference 17

Resolution: verified exact; doi, observed 2026-08-03T04:58:27.370727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2e7fda5a-97ea-400f-b9f6-f255c88389a0 · outbound

This paper cites Flat surfaces.

Parity of $k$-differentials in genus zero and one Flat surfaces

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T04:58:18.615928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f52d30e-cf40-4f9a-8a1d-0da67b37c6cc · outbound

This paper cites URLhttps://doi.org/10.24033/asens.2216.

Parity of $k$-differentials in genus zero and one URLhttps://doi.org/10.24033/asens.2216

Reference 2151

Resolution: verified exact; doi, observed 2026-08-03T04:58:28.224832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation acf6a90e-57f8-4a8d-9c3d-7cfc1360add3 · inbound

$k$-server-bench: Automating Potential Discovery for the $k$-Server Conjecture cites this paper.

$k$-server-bench: Automating Potential Discovery for the $k$-Server Conjecture Parity of $k$-differentials in genus zero and one

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:17.768539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 185df7fc-3cb4-49c3-9b2f-422e15ed8f14 · inbound

Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory cites this paper.

Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory Parity of $k$-differentials in genus zero and one

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T18:16:45.127711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.