Paper Citation Record · LEDGER

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations

As of 18 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2509.02291.

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

pith.paper-citation-record.v1
2509.02291 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:49:15.721445Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:20:28.664862Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T14:20:29.847074Z

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy31
unresolved1
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External citation measurements

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Outbound references

Observation bc1249f6-1b96-4717-b9a9-e347eac31d6a · outbound

This paper cites Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:49:16.051932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d88ccbed-458c-4e76-b0ab-8f1b27afaa4e · outbound

This paper cites Coleman--gross height pairings and the p-adic sigma function.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Coleman--gross height pairings and the p-adic sigma function

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:21.287786Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 815c038c-4f41-4916-b5e9-d03a20d94116 · outbound

This paper cites Two recent p-adic approaches towards the (effective) mordell conjecture.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Two recent p-adic approaches towards the (effective) mordell conjecture

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:21.104992Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0bf45d34-0b6a-44bb-b8e6-d405aa3dd383 · outbound

This paper cites Balakrishnan, L.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Balakrishnan, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.923604Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cccd81d3-2844-4279-84ac-edf0883b6af8 · outbound

This paper cites u ller. Quadratic chabauty: p-adic heights and integral points on hyperelliptic curves. Journal f \.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations u ller. Quadratic chabauty: p-adic heights and integral points on hyperelliptic curves. Journal f \

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.736121Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd249514-369c-4a12-917f-a94ab5da50d5 · outbound

This paper cites The M agma algebra system.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations The M agma algebra system

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T11:49:13.646113Z

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Unavailable: canonical work link unavailable.

Observation d24e9fe3-7de0-486c-b3d7-bf378d4ddefa · outbound

This paper cites Balakrishnan and Netan Dogra.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Balakrishnan and Netan Dogra

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.584488Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c4391ac0-27c5-4547-879f-629bb44c32f1 · outbound

This paper cites Quadratic chabauty and rational points ii: Generalised height functions on selmer varieties.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic chabauty and rational points ii: Generalised height functions on selmer varieties

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.428288Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dcaa78da-6548-4944-83a5-2079ac29a249 · outbound

This paper cites A non-abelian conjecture of tate--shafarevich type for hyperbolic curves.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations A non-abelian conjecture of tate--shafarevich type for hyperbolic curves

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.232007Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a2bd8919-aa95-458e-86f2-06e6333d0aa5 · outbound

This paper cites Explicit chabauty--kim for the split cartan modular curve of level 13.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Explicit chabauty--kim for the split cartan modular curve of level 13

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:20.041757Z

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Observation afb466dd-4c4b-4da5-a0c9-256b1ac1faee · outbound

This paper cites Quadratic chabauty for modular curves: algorithms and examples.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic chabauty for modular curves: algorithms and examples

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.900650Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8edd856f-6810-44eb-8684-e1be74a08a92 · outbound

This paper cites Computational tools for quadratic chabauty, 2023.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Computational tools for quadratic chabauty, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.709923Z

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Observation aa4ca79c-0846-4132-bd72-c8276842ecf5 · outbound

This paper cites Sur les points rationnels des courbes alg \'e briques de genre sup \'e rieura l’unit \'e.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Sur les points rationnels des courbes alg \'e briques de genre sup \'e rieura l’unit \'e

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.532358Z

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Observation 66dbabee-2c53-47a5-ba85-1f5241ada30f · outbound

This paper cites Coleman integration on modular curves, 2024.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Coleman integration on modular curves, 2024

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.340412Z

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Observation 3522264d-d157-4553-a3df-60aef83d5eda · outbound

This paper cites Effective chabauty.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Effective chabauty

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.184153Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f38a8bbf-48b0-41d5-9ff7-a9f41a33b507 · outbound

This paper cites Quadratic chabauty for modular curves and modular forms of rank one.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic chabauty for modular curves and modular forms of rank one

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:19.060586Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6df61b23-a715-41ae-989e-11f4a3048f1b · outbound

This paper cites A first course in modular forms , volume 228.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations A first course in modular forms , volume 228

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.905820Z

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Observation b12d896d-1863-4bb2-a05a-796385ef334c · outbound

This paper cites a tze f \.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations a tze f \

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.755833Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2ee48e42-6b6c-4092-8943-d5c2768e37e9 · outbound

This paper cites Rational points on x+ 0 (n) and quadratic q-curves (english, with english and french summaries).

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Rational points on x+ 0 (n) and quadratic q-curves (english, with english and french summaries)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.621632Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d1f57bc7-cdee-4842-84bf-d27abc4efa08 · outbound

This paper cites Brief an g.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Brief an g

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.483059Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 03bbbef6-3218-441d-8990-b59837f2aaa0 · outbound

This paper cites Motivic fundamental groups and integral points.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Motivic fundamental groups and integral points

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.303482Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ea31994e-9590-4bac-86ff-5a0d5a8e771c · outbound

This paper cites Quadratic chabauty and p-adic gross–zagier.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic chabauty and p-adic gross–zagier

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:18.132448Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 52de37a5-52bf-4aa8-b707-a33faa9659eb · outbound

This paper cites The motivic fundamental group of the projective line minus three points and the theorem of siegel.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations The motivic fundamental group of the projective line minus three points and the theorem of siegel

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.944167Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2311d719-f740-4a8d-b570-c9794d9601f9 · outbound

This paper cites The unipotent albanese map and selmer varieties for curves.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations The unipotent albanese map and selmer varieties for curves

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.794659Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e4448f6c-35d4-43d3-92ad-9de1b2a3695b · outbound

This paper cites The l-component of the unipotent albanese map.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations The l-component of the unipotent albanese map

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.656366Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6be72c5e-567b-45e8-b5e1-c18237bc5c21 · outbound

This paper cites Refined dimensions of cusp forms, and equidistribution and bias of signs.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Refined dimensions of cusp forms, and equidistribution and bias of signs

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.519720Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 09930d49-15a3-485e-8507-82ba1717dc58 · outbound

This paper cites Modular forms (ma4h9), 2015.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Modular forms (ma4h9), 2015

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.363742Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 83a7c1b4-abcd-4716-955b-810c1f230dfc · outbound

This paper cites Rational points on modular curves.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Rational points on modular curves

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.195741Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ff63290a-0bb0-42d2-8e77-1eaf99626b29 · outbound

This paper cites On p-adic height pairings.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations On p-adic height pairings

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:17.038062Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c26ddef0-388b-4774-bd1a-ab469b06ca1c · outbound

This paper cites Towards non--abelian p--adic Hodge theory in the good reduction case.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Towards non--abelian p--adic Hodge theory in the good reduction case

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:16.926143Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2e234fa9-2b38-431f-b863-dd564839d434 · outbound

This paper cites On spaces of modular forms spanned by eta-quotients.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations On spaces of modular forms spanned by eta-quotients

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:16.755917Z

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Observation 89ac6e48-7a77-4f08-b936-91592099bc64 · outbound

This paper cites Quadratic Chabauty for Modular Curves.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Quadratic Chabauty for Modular Curves

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-05T11:49:15.847817Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb43c03f-9bd8-4573-a275-0d0a5eb6d81a · outbound

This paper cites Counting points on curves using a map to P ^1.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Counting points on curves using a map to P ^1

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:16.494846Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 80850f1b-a966-45bc-ab00-77ba6489a119 · outbound

This paper cites Counting points on curves using a map to P1, ii.

Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations Counting points on curves using a map to P1, ii

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:49:16.267330Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 7f7948cf-05bf-45b6-92d9-6413ef325e3f · inbound

Equationless quadratic Chabauty for non-split Cartan modular curves cites this paper.

Equationless quadratic Chabauty for non-split Cartan modular curves Quadratic Chabauty for Atkin-Lehner quotients of modular curves via weakly holomorphic modular forms: Hodge Filtrations

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T14:20:29.854395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.