Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:25:31.015661Z
Paper Citation Record · LEDGER
Cohomology and congruences
As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2412.13313.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b18e729d-cf7d-46f0-be10-32a6b6192878 · outbound
This paper cites Tables of Calabi--Yau equations.
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:25:30.868553Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad502835-bef5-4e90-82da-5bd47ae239f5 · outbound
This paper cites Atkin and H.
Cohomology and congruences Atkin and H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.689846Z
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.
Observation 9e549cf6-9ffd-4b5d-92ec-1d5999a94277 · outbound
This paper cites Batyrev, Variations of the MHS of affine hypersurfaces in algebraic tori , Duke Math Journal, 69 (1993), 349–409.
Cohomology and congruences Batyrev, Variations of the MHS of affine hypersurfaces in algebraic tori , Duke Math Journal, 69 (1993), 349–409
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.671836Z
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.
Observation 5a46ffb2-a7f7-4fec-8633-18170641b1da · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.653010Z
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.
Observation f101be9e-f580-455d-9ac5-4580c6a22dd5 · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.632721Z
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.
Observation 9b1e1d7f-34f8-4b90-803b-d21597d20350 · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.613500Z
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.
Observation a3164f6d-1458-476d-8979-ce13b46cdd4a · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.572551Z
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.
Observation 0c5ee106-8ffc-48c5-84f9-e4c9246aea1f · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.548265Z
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.
Observation eadd5058-e886-4187-875c-e6b69b82fcc3 · outbound
This paper cites Beukers, M.
Cohomology and congruences Beukers, M
Reference 9
- Resolution
- verified exact
- raw_fallback, observed 2026-08-11T13:25:31.221884Z
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.
Observation d513ad93-a2cb-4cb8-b32e-be53773bc9ac · outbound
This paper cites Candelas, X.
Cohomology and congruences Candelas, X
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.527837Z
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.
Observation 4353375b-bc20-4812-b85f-c24713aff293 · outbound
This paper cites Local Zeta Functions From Calabi-Yau Differential Equations.
Cohomology and congruences Local Zeta Functions From Calabi-Yau Differential Equations
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:25:30.931322Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbe36a52-6c8a-4589-a312-78420b6930a0 · outbound
This paper cites Dwork, A deformation theory for the zeta function of a hypersurface , Proc.
Cohomology and congruences Dwork, A deformation theory for the zeta function of a hypersurface , Proc
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.504365Z
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.
Observation 6b067c63-dd30-4ed7-88da-b56e12fc83aa · outbound
This paper cites Dwork, On the rationality of the zeta function of an algebraic variety , Amer.
Cohomology and congruences Dwork, On the rationality of the zeta function of an algebraic variety , Amer
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.482427Z
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.
Observation c5b40eab-1c05-40dc-97e3-257a8db4500c · outbound
This paper cites Dwork, On the uniqueness of Frobenius operator on differential equations , Advanced Studies in Pure Mathematics 17, 1989, 89–96.
Cohomology and congruences Dwork, On the uniqueness of Frobenius operator on differential equations , Advanced Studies in Pure Mathematics 17, 1989, 89–96
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.461374Z
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.
Observation 3e25a726-a73e-4a08-88be-d1d4c7d374c9 · outbound
This paper cites Dwork, p-adic cycles , Publications math´ ematiques de l’I.H.´E.S.
Cohomology and congruences Dwork, p-adic cycles , Publications math´ ematiques de l’I.H.´E.S
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.436246Z
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.
Observation ba547dc0-fd6b-447d-8f2c-ad8ba3adcaf1 · outbound
This paper cites Huang, B.
Cohomology and congruences Huang, B
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.417200Z
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.
Observation 3bd03999-ee51-435e-af80-1b2cc1b395a0 · outbound
This paper cites Ionel and T.H.
Cohomology and congruences Ionel and T.H
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.399156Z
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.
Observation 0a530e19-43cf-4455-aa35-e1fb73780d68 · outbound
This paper cites Katz, Internal reconstruction of unit-root F-crystals via expansion coefficients , Ann.
Cohomology and congruences Katz, Internal reconstruction of unit-root F-crystals via expansion coefficients , Ann
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.379900Z
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.
Observation d563128d-c964-44fe-9a64-57c0d74ed1df · outbound
This paper cites Katz, Une formule de congruence pour la fonction ζ, S.Gs.A.
Cohomology and congruences Katz, Une formule de congruence pour la fonction ζ, S.Gs.A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.356954Z
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.
Observation 9fe1d914-8ad4-436d-8ba8-1b05ba341ac8 · outbound
This paper cites Koblitz, p-adic numbers, p-adic analysis and zeta-functions , Graduate Texts in Mathematics 58, Springer, 1984, 153 pp.
Cohomology and congruences Koblitz, p-adic numbers, p-adic analysis and zeta-functions , Graduate Texts in Mathematics 58, Springer, 1984, 153 pp
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.333479Z
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.
Observation c63cf43b-0ce0-48d1-9650-f83fe91defef · outbound
This paper cites Mellit, M.
Cohomology and congruences Mellit, M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.312104Z
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.
Observation a6dd8d17-b64a-4da4-bc4f-18d79a831869 · outbound
This paper cites Stienstra, Formal groups and congruences for L-functions, Amer.
Cohomology and congruences Stienstra, Formal groups and congruences for L-functions, Amer
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.291723Z
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.
Observation 3a903eba-8dea-48ef-ab93-4afbfe5cfb15 · outbound
This paper cites Vlasenko, Higher Hasse-Witt matrices , Indag.
Cohomology and congruences Vlasenko, Higher Hasse-Witt matrices , Indag
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T13:25:31.271281Z
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.
Pith citing papers
No inbound Pith citation observations are available.