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Paper Citation Record · LEDGER

An algorithm to compute Selmer groups via resolutions by permutations modules

As of 18 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2504.13506.

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

pith.paper-citation-record.v1
2504.13506 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:21:09.541329Z

measured 18 of 18 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy8
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4201f1ce-3253-45ed-9060-51976fc92d63 · outbound

This paper cites On average sizes of Selmer groups and ranks in families of elliptic curves having marked points.

An algorithm to compute Selmer groups via resolutions by permutations modules On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

Reference 1

Resolution
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no resolver link, observed 2026-08-16T12:21:09.452567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 457cfafa-8286-4f6b-bd16-d905505e6c01 · outbound

This paper cites L-functions and Tama- gawa numbers of motives.

An algorithm to compute Selmer groups via resolutions by permutations modules L-functions and Tama- gawa numbers of motives

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:10.025796Z

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.

source=pdf_text observed=2026-08-16T12:21:09.458882Z digest=sha256:8901488544e945f0abe93a41420d3e1b112639623fabbcbfe98c2768b431d4ac

Observation 46c46237-efc7-4c36-81b8-6c7ef4ee9ae4 · outbound

This paper cites Extensions and torsors for finite group schemes.

An algorithm to compute Selmer groups via resolutions by permutations modules Extensions and torsors for finite group schemes

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:10.009540Z

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.

source=pdf_text observed=2026-08-16T12:21:09.464866Z digest=sha256:8faf54510e058c6ab31e5e87e731c4fd08939376ad6930944540b4319be60f5a

Observation 1c27f8ee-4153-4be8-8805-1011b1d435fe · outbound

This paper cites Homological algebra.

An algorithm to compute Selmer groups via resolutions by permutations modules Homological algebra

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.993625Z

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.

source=pdf_text observed=2026-08-16T12:21:09.475862Z digest=sha256:4b08e2e7863ad486e5e57f7b63a8c6bb34a41e4ba59a03eb9a4d0b9f34c57b1a

Observation 1f56e7f9-bc6e-4a8f-b00b-40fc3e75b240 · outbound

This paper cites Advanced topics in computational number the- ory.

An algorithm to compute Selmer groups via resolutions by permutations modules Advanced topics in computational number the- ory

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T12:21:09.481097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:21:09.481097Z digest=sha256:be10f756d42f658ea3575a5d4f68ac808bd0b7ccd49ebc57a5d9c381fdcdc405

Observation 08da6672-4152-48af-ab9b-2f62a4976c13 · outbound

This paper cites Computing class groups by induction with generalised norm relations.

An algorithm to compute Selmer groups via resolutions by permutations modules Computing class groups by induction with generalised norm relations

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:21:09.818494Z

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.

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Observation c5d3fa7b-f5af-41e0-9d48-6f9af0929092 · outbound

This paper cites Constructions using Galois Theory.

An algorithm to compute Selmer groups via resolutions by permutations modules Constructions using Galois Theory

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-16T12:21:09.796262Z

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.

source=pdf_text observed=2026-08-16T12:21:09.491659Z digest=sha256:9a75be572a172547c2e276a924b393631db06c6d160ee5b62f53dd362350b5dc

Observation 8e11161c-16f2-4895-85e9-ac1393ab596a · outbound

This paper cites Holt, Bettina Eick, and Eamonn A.

An algorithm to compute Selmer groups via resolutions by permutations modules Holt, Bettina Eick, and Eamonn A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.977788Z

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.

source=pdf_text observed=2026-08-16T12:21:09.497358Z digest=sha256:22b04ffd1009d60786abcac137aaeb289b28a098a1bcdc9eaeec0dcb79ae6858

Observation bb215202-6004-49c7-9232-41f05cc431de · outbound

This paper cites On the Mordell-Weil group and the Shafarevich-Tate group of modular elliptic curves.

An algorithm to compute Selmer groups via resolutions by permutations modules On the Mordell-Weil group and the Shafarevich-Tate group of modular elliptic curves

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.960306Z

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.

source=pdf_text observed=2026-08-16T12:21:09.502032Z digest=sha256:53962858f3c3e89bd3756882b4dd98b1be5d6709a44ad04c3a4d1140c4c26068

Observation af107046-091c-4548-bad8-ccc361a87260 · outbound

This paper cites On the factorization of twisted L-values and 11-descents over C5-number fields.

An algorithm to compute Selmer groups via resolutions by permutations modules On the factorization of twisted L-values and 11-descents over C5-number fields

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.942532Z

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.

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Observation a2f10f6f-28df-41a1-b68d-8d01c8a9c633 · outbound

This paper cites an unresolved cited work.

An algorithm to compute Selmer groups via resolutions by permutations modules Unresolved cited work

Reference 11

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unresolved
raw_fallback, observed 2026-08-16T12:21:09.925505Z

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.

source=pdf_text observed=2026-08-16T12:21:09.517441Z digest=sha256:ffce04f6ccc74abfdb3ca3a4f4447a160cead1f6dba90c9eb0a5da1a17d1e162

Observation fdefb1a7-1152-4105-af09-7376be499e9b · outbound

This paper cites Silverman.

An algorithm to compute Selmer groups via resolutions by permutations modules Silverman

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.908904Z

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.

source=pdf_text observed=2026-08-16T12:21:09.522112Z digest=sha256:034ffef711b8b6398f9abcd750695f18acc03047a3dcf781b750616106b7943a

Observation da04c1d2-5b3d-42b3-a972-b39f8327b860 · outbound

This paper cites an unresolved cited work.

An algorithm to compute Selmer groups via resolutions by permutations modules Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T12:21:09.892398Z

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.

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Observation 74fb7330-7d01-40be-986d-87c98ba4afcf · outbound

This paper cites Modular Elliptic Curves and Fermat’s Last Theorem.

An algorithm to compute Selmer groups via resolutions by permutations modules Modular Elliptic Curves and Fermat’s Last Theorem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T12:21:09.875434Z

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.

source=pdf_text observed=2026-08-16T12:21:09.531660Z digest=sha256:b705c1ff44c8e235f05d856a00f7d6827cbae5f7a104c43d28c7b14a6f5e659d

Observation 63cdba09-c5ae-4ad9-979b-28ac6c8d30a8 · outbound

This paper cites On G-functors. II: Hecke operators and G-functors.

An algorithm to compute Selmer groups via resolutions by permutations modules On G-functors. II: Hecke operators and G-functors

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-16T12:21:09.541329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:21:09.541329Z digest=sha256:2db41c0426aeca748439ce73db5d3528f09f32576645e0874c2aa1647a06cc2f

Observation 3f0d608b-0246-4c52-ad7c-45f1f209015d · outbound

This paper cites url: http://www.jstor.org/stable/2118559 (visited on 04/04/2025).

An algorithm to compute Selmer groups via resolutions by permutations modules url: http://www.jstor.org/stable/2118559 (visited on 04/04/2025)

Reference 551

Resolution
verified exact
raw_fallback, observed 2026-08-16T12:21:09.748951Z

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.

source=pdf_text observed=2026-08-16T12:21:09.536381Z digest=sha256:fbde93c4c4c44e9d294a0cf549ad79cb3750d5a0dacde50469c87e3b053aa869

Observation 5be817da-d1fa-4725-9e15-71825007076b · outbound

This paper cites Extensions and torsors for finite group schemes.

An algorithm to compute Selmer groups via resolutions by permutations modules Extensions and torsors for finite group schemes

Reference 2022

Resolution
metadata mismatch
local_arxiv, observed 2026-08-16T12:21:09.841038Z

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.

source=pdf_text observed=2026-08-16T12:21:09.470169Z digest=sha256:958a6c33fe755b5c2cafe02c19f508741823a0d3137411a33ab887a566b571b0

Observation c1acffab-ad8c-455b-aa74-c1ee1e076dd9 · outbound

This paper cites On the factorization of twisted $L$-values and $11$-descents over $C_5$-number fields.

An algorithm to compute Selmer groups via resolutions by permutations modules On the factorization of twisted $L$-values and $11$-descents over $C_5$-number fields

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-16T12:21:09.773168Z

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.

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Pith citing papers

No inbound Pith citation observations are available.