Pith. sign in

Paper Citation Record · LEDGER

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2501.07833.

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

pith.paper-citation-record.v1
2501.07833 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:39:50.790094Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:05:04.789171Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact9
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier3
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d0f5544-1a50-497b-b407-154f29b72175 · outbound

This paper cites Computing classical modular forms for arbitrary congruence subgroups.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Computing classical modular forms for arbitrary congruence subgroups

Reference 1

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.871124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.742723Z digest=sha256:007d096c1dab4f2f32384f28bbbe900565f12bd2a385c9f96dbbe37a86f75b6d

Observation b0b94bed-a811-405f-8080-99f0fe7f1e12 · outbound

This paper cites Modular curves and the Eisenstein ideal.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Modular curves and the Eisenstein ideal

Reference 6

Resolution
malformed identifier
no resolver link, observed 2026-08-10T20:39:50.767469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:39:50.767469Z digest=sha256:77c583f02de07c646aca930a644ba1da567575625776d7846a98d0e64acd4109

Observation 815cffdc-b170-4192-8aad-15b9fb709e2a · outbound

This paper cites Explicit quadratic Chabauty over number fields.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Explicit quadratic Chabauty over number fields

Reference 10

Resolution
verified exact
doi, observed 2026-08-10T20:39:51.165975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.746874Z digest=sha256:7b5268c7b4a868c1e7d32cb732e881a3b2891306dc7c305c820e89530a6f1ebf

Observation edb4beb9-bbf4-4cf2-b83d-48fb836724b5 · outbound

This paper cites Explicit Chabauty over number fields.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Explicit Chabauty over number fields

Reference 11

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.813487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.787445Z digest=sha256:59af9c713d8fb78fd1ca1c501723a98d0b308d42551087a18c8b0aa77f367605

Observation 8d17d044-b298-4a24-b692-5ac44f5d6448 · outbound

This paper cites Elliptic curves overQ and 2-adic images of Galois.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Elliptic curves overQ and 2-adic images of Galois

Reference 14

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.826212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.782628Z digest=sha256:d7ca96fcacf33ce85b6f492ede4d1e41ca00bb1e64ceda1088f17b5c1665392e

Observation a466ab09-49ab-4b83-8cce-d7b3814b6022 · outbound

This paper cites A multivariable Hensel’s lemma.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields A multivariable Hensel’s lemma

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T20:39:50.762517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:39:50.762517Z digest=sha256:1b5f4803dc69657ca154dd764884b75f3f96e8228f751dc440b1e52b41a80b68

Observation c1f49398-fb1b-4291-a28c-2ac53cd25a83 · outbound

This paper cites p-adic adelic metrics and quadratic Chabauty I.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields p-adic adelic metrics and quadratic Chabauty I

Reference 36

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:39:51.148778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.752928Z digest=sha256:347cd0c4bb08d468fc045edc6ad99eec5b19d2b535817087ef208ea0ee5a95af

Observation 4fed68a0-7f7b-4816-b241-955707b4986d · outbound

This paper cites Restriction of Scalars Chabauty and the $S$-unit equation.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Restriction of Scalars Chabauty and the $S$-unit equation

Reference 106

Resolution
malformed identifier
local_arxiv, observed 2026-08-10T20:39:50.881010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.790094Z digest=sha256:fb5ffb75b70497da1b1058d90b51fe4524e6041770d6951da55454a6a7897b11

Observation ebae622e-3429-4470-ac95-47c55f6ff1bd · outbound

This paper cites Springer, 1993, pp.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Springer, 1993, pp

Reference 108

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T20:39:51.156704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.773814Z digest=sha256:daf0c80378d00b8fa5737b0edcd1deca1e17e29c2c36dfb5c24357022433860c

Observation f2e26fd5-6104-46bc-ad53-48f9bd54a003 · outbound

This paper cites Computing p-adic heights on hyperelliptic curves.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Computing p-adic heights on hyperelliptic curves

Reference 223

Resolution
verified exact
raw_fallback, observed 2026-08-10T20:39:50.963756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.765103Z digest=sha256:5312d2c323f51ed7b88d5803a9bd1a6e300844d8b16aac8c919af89325eb0239

Observation 6ec6c87f-9a1b-4994-85ef-2a51a24addb3 · outbound

This paper cites ℓ-adic images of Galois for elliptic curves over Q (and an appendix with John Voight).

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields ℓ-adic images of Galois for elliptic curves over Q (and an appendix with John Voight)

Reference 224

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.834398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.779856Z digest=sha256:2130e7cbc6a2bc45951bd70cc9f362b0102c1f7f8f75bb010655df8cb829a443

Observation ba7b2aa8-4fae-4dcb-84ce-520e1ec8eaf0 · outbound

This paper cites F-isocristaux unipotents.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields F-isocristaux unipotents

Reference 281

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.857928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.759459Z digest=sha256:6c634e5d396848ed34a10cf54895bf1d10bc1663f124d2f7cbbafd8e860917f2

Observation c9c8857e-c8f4-4a57-bdca-52a2f125f544 · outbound

This paper cites The Magma algebra system. I. The user language.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields The Magma algebra system. I. The user language

Reference 302

Resolution
malformed identifier
doi_truncated, observed 2026-08-10T20:39:51.075857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.755750Z digest=sha256:fd1fd27bd9afeee15ef8485898e4a27e0b75e31955d874828c04ec8dfa064e04

Observation 0cd7bdb8-b9f7-4e25-94e6-ea43f211e1fc · outbound

This paper cites Computing the semistable reduction of a particular plane quartic curve at $p=3$.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Computing the semistable reduction of a particular plane quartic curve at $p=3$

Reference 323

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T20:39:50.891383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.776275Z digest=sha256:6624f83ac917846a6ee5c3bd6fb21bd30c6dddb6cd207949099f4f6396eb28d6

Observation 14df2b58-d3fa-4406-94ef-dcf303093d6f · outbound

This paper cites Rational isogenies of prime degree (with an appendix by D. Goldfeld).

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Rational isogenies of prime degree (with an appendix by D. Goldfeld)

Reference 601

Resolution
verified exact
doi, observed 2026-08-10T20:39:50.842541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T20:39:50.770974Z digest=sha256:ae7fe23ad2e6123430e8732b8ebaa03674cec60df79f3358b8c4f89c23a52776

Observation 35e5333b-44b9-4f01-b545-28049cfc7349 · outbound

This paper cites REFERENCES 35 [Ser89] J.-P.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields REFERENCES 35 [Ser89] J.-P

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-10T20:39:50.785020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:39:50.785020Z digest=sha256:6eebc5f393517627b392ad25812ed52807d045be1af8e0bf003d0e537595cc8d

Observation 208be933-ee58-452c-be62-6628a971225b · outbound

This paper cites Quadratic Chabauty and rational points, I: p- adic heights.

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields Quadratic Chabauty and rational points, I: p- adic heights

Reference 6197

Resolution
unresolved
no resolver link, observed 2026-08-10T20:39:50.749974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:39:50.749974Z digest=sha256:0f5fd67714862fbde8d0acb687e883d9b3f6a5485796813924ef0cc33b8759dd

Pith citing papers

Observation 1e16e62e-2dbd-4f97-887b-6c046cb09fdc · inbound

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images cites this paper.

Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T19:05:04.789171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:05:04.789171Z digest=sha256:3d3cd1397b3121f6de792828358b069f9630d5cec4052ef5cf772bff2ec0211f