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Paper Citation Record · LEDGER

Integers representable as a difference of two rational fourth powers

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2604.15832.

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

pith.paper-citation-record.v1
2604.15832 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T07:48:12.518293Z

measured 15 of 15 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 2026-07-14T14:28:52.142677Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18f89b83-0d30-499f-8870-46c33d0d420e · outbound

This paper cites Bosma, J.

Integers representable as a difference of two rational fourth powers Bosma, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.768354Z

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=2026-05-10T07:48:12.518293Z digest=sha256:b975189e509fc86bf8af09d7b61771e2239b4d2ce8cf2acd57bbd955b5cb4bd2

Observation 31bf6776-04be-45a4-bfd9-15ae8ed2bb2c · outbound

This paper cites an unresolved cited work.

Integers representable as a difference of two rational fourth powers Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:35:08.777800Z

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=2026-05-10T07:48:12.518293Z digest=sha256:6153ea3aa3c25dcc6a3810409d027b0be26dc025266aeda5e4870fae697eebe0

Observation aaae99f2-32ed-469d-b4a1-2fcd2429b5c3 · outbound

This paper cites Bremner and N.

Integers representable as a difference of two rational fourth powers Bremner and N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.729431Z

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=2026-05-10T07:48:12.518293Z digest=sha256:fa27b6c20d2b29da261eb7d38be4b64781cac10821fad2447c4e803830739548

Observation 8f6bd978-67de-4a94-9209-b5f758e58e72 · outbound

This paper cites Cohen.Number theory.

Integers representable as a difference of two rational fourth powers Cohen.Number theory

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.765548Z

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=2026-05-10T07:48:12.518293Z digest=sha256:a5e434c17b2391923aeafc9e1202959694ab77d675e6bad351e40bb6bf121d54

Observation 8bdccaa4-eb83-4e2c-a409-38ddddf9a31b · outbound

This paper cites an unresolved cited work.

Integers representable as a difference of two rational fourth powers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:35:08.762358Z

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=2026-05-10T07:48:12.518293Z digest=sha256:4df2f6a41d9f21bac462f5b992f3937406e2dd8eea012938eff925fb1879725d

Observation 15ac727b-d41b-4565-aeae-470f595d8bba · outbound

This paper cites V Flynn and J.

Integers representable as a difference of two rational fourth powers V Flynn and J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.731678Z

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=2026-05-10T07:48:12.518293Z digest=sha256:4f416c03daa555743c0d260ba0ed82edf0255fc4eaf315bf22b039414278a830

Observation 6133484b-5416-437d-9b75-33382f86d155 · outbound

This paper cites Grechuk.Polynomial Diophantine equations: A Systematic Approach.

Integers representable as a difference of two rational fourth powers Grechuk.Polynomial Diophantine equations: A Systematic Approach

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.785166Z

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=2026-05-10T07:48:12.518293Z digest=sha256:8933fbac66f36f1315cdf8c9694c1905d7a084d888f4a6a91e732eaad0a908b2

Observation 0a4a6ce4-4d69-45bc-b760-064792dec2a6 · outbound

This paper cites J Mordell.Diophantine equations, volume 30 ofPure and Applied Mathematics.

Integers representable as a difference of two rational fourth powers J Mordell.Diophantine equations, volume 30 ofPure and Applied Mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.759792Z

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=2026-05-10T07:48:12.518293Z digest=sha256:bb04ba2cbce350cd13f3201786e5b3d1d3ac4117dc426ba8c73f534a3aefda7e

Observation 38299cae-d210-46dc-80d3-2566903b42b5 · outbound

This paper cites an unresolved cited work.

Integers representable as a difference of two rational fourth powers Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:35:08.782235Z

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=2026-05-10T07:48:12.518293Z digest=sha256:8437f970fbebedc19ac246f737a3228ae56645fc6192b8bc8cadbf032ee1c716

Observation 09875bf7-3cac-43df-b07d-6d34cb4b88e4 · outbound

This paper cites The On-Line Encyclopedia of Integer Sequences.

Integers representable as a difference of two rational fourth powers The On-Line Encyclopedia of Integer Sequences

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.772997Z

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=2026-05-10T07:48:12.518293Z digest=sha256:e57bcbdd2986672e882b4eb6fa287ca3d84ab39ca6988010f0df15f471615f25

Observation d42b675e-06e2-4179-849d-ca5a0261edc8 · outbound

This paper cites P Serre.Lectures on the Mordell-Weil Theorem, Transl.

Integers representable as a difference of two rational fourth powers P Serre.Lectures on the Mordell-Weil Theorem, Transl

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.755860Z

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=2026-05-10T07:48:12.518293Z digest=sha256:6c06ed5380391cf5969402e8aa58fdef7fb6c2c3a638169a3c211ffe1f7c728b

Observation 7728006b-ef38-4445-b39c-a8b659a74e3b · outbound

This paper cites H Silverman.

Integers representable as a difference of two rational fourth powers H Silverman

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.745640Z

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=2026-05-10T07:48:12.518293Z digest=sha256:e0ae06be3f851298263f4b0c6d81395a8687c7eb1e0d75155aaffd4f437e3fa2

Observation a975202a-8d16-48d5-9746-969be32b2f7d · outbound

This paper cites H Silverman and J.

Integers representable as a difference of two rational fourth powers H Silverman and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T12:35:08.733630Z

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=2026-05-10T07:48:12.518293Z digest=sha256:1020298cbfabf9a5f859412f16737dfb2bdb002f32aa9245205e751abcf2fe54

Observation 16430c7d-9ccd-453e-a8f4-f360ed01469a · outbound

This paper cites an unresolved cited work.

Integers representable as a difference of two rational fourth powers Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-21T12:35:08.750711Z

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=2026-05-10T07:48:12.518293Z digest=sha256:1498b6243e42fbcbf0461af8cf778d79466aa2d87fe92d63e7e8685094772f9d

Pith citing papers

Observation 4b024c0c-aeba-4412-bc20-7dc3bb4cbd3f · inbound

Integer Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the Sequence cites this paper.

Integer Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the Sequence Integers representable as a difference of two rational fourth powers

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T14:28:52.142677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T14:28:52.142677Z digest=sha256:d5f942703926f3e84edc032ce1342d96ad0a7c7f803c355de930249518066a08