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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 2026-08-12T06:34:41.77262+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

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  • verified fuzzy1
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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

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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 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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 2026-08-12T06:34:41.77262+00:00.

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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

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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 2026-08-12T06:34:41.77262+00:00.

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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

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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 2026-08-12T06:34:41.77262+00:00.

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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

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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 2026-08-12T06:34:41.77262+00:00.

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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

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

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Unavailable: canonical work link unavailable.

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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

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

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Unavailable: canonical work link unavailable.

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