Paper Citation Record · LEDGER

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.06631.

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

pith.paper-citation-record.v1
1908.06631 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:48:14.410973Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

16 of 16 outbound references displayed

verified exact0
verified fuzzy7
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a951d5df-2b20-4069-bc22-d335c8302100 · outbound

This paper cites Discovering and Proving Infinite Binomial Sums Identities.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Discovering and Proving Infinite Binomial Sums Identities

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.346739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6933b7a8-9e33-415c-8191-345bb4447523 · outbound

This paper cites Discovering and Proving Infinite Pochhammer Sum Identities.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Discovering and Proving Infinite Pochhammer Sum Identities

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.351536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9748cafc-aaa5-4c43-8c7e-8f648added0d · outbound

This paper cites Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.358244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3b9c2ad-30e5-4403-a0ab-74256b28d9ed · outbound

This paper cites Ablinger, Inverse Mellin Transform of Holonomic Seque nces.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Ablinger, Inverse Mellin Transform of Holonomic Seque nces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.601626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8389dc1a-0b1b-4776-af73-239df77b36f5 · outbound

This paper cites The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ The package HarmonicSums: Computer Algebra and Analytic aspects of Nested Sums

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.367484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bf5dc8e-29be-4653-a9be-06b75da97f98 · outbound

This paper cites Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.372093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecc64a43-36f1-4a8f-9900-dfe8242ee1b8 · outbound

This paper cites Ablinger and J.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Ablinger and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.588902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1ec8f941-49e6-4167-b0a9-7f78b3da9cf1 · outbound

This paper cites Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.380246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80253dd3-a88a-4a81-9a82-c096f22d0f4a · outbound

This paper cites Abramov and M.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Abramov and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.576955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 833abbeb-83fe-4d4c-ba75-3695b72484a3 · outbound

This paper cites The Multiple Zeta Value Data Mine.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ The Multiple Zeta Value Data Mine

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.388314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eda5dfeb-f45b-4212-9adc-ff4f1c7392a5 · outbound

This paper cites Bronstein.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Bronstein

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.563607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation da9f8a13-115a-4527-a458-7b455892aa71 · outbound

This paper cites Kauers and P.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Kauers and P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.551963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fcab555-2e34-4f8a-b2c1-8091343996ea · outbound

This paper cites an unresolved cited work.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:48:14.541099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 91913c53-1a7d-415a-a4d0-1e4bded725e8 · outbound

This paper cites Petkovˇ sek, Hypergeometric solutions of linear recu rrences with polynomial coeﬃcients.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Petkovˇ sek, Hypergeometric solutions of linear recu rrences with polynomial coeﬃcients

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.530365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1cd83c01-1c0d-4ad1-af84-4ec7a4509817 · outbound

This paper cites Hendriks and M.F.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ Hendriks and M.F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:48:14.517165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 412865b8-6e16-4a2c-83e4-01a7eb691d82 · outbound

This paper cites List of conjectural series for powers of $\pi$ and other constants.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$ List of conjectural series for powers of $\pi$ and other constants

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T12:48:14.410973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.