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Paper Citation Record · LEDGER

Proofs for certain Pi_{q}-conjectures of Gosper

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.02010.

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

pith.paper-citation-record.v1
1908.02010 v5

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:08:46.529655Z

measured 8 of 8 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

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c02f4b28-5b8e-444e-aa3c-c49e64db8b74 · outbound

This paper cites Abo Touk, Z.

Proofs for certain Pi_{q}-conjectures of Gosper Abo Touk, Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:47.014912Z

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.

source=pdf_text observed=2026-08-14T15:08:46.388636Z digest=sha256:5e6c8a510cab486609dd37ad92646168a25f219f3b46f0046c6e3df645ab79a0

Observation c070437f-23a8-4373-b5e0-7a4f721e8f9f · outbound

This paper cites Berndt, Number Theory in the Spirit of Ramanujan, Am erican Mathematical Society, Providence, RI, 2006.

Proofs for certain Pi_{q}-conjectures of Gosper Berndt, Number Theory in the Spirit of Ramanujan, Am erican Mathematical Society, Providence, RI, 2006

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:46.938791Z

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.

source=pdf_text observed=2026-08-14T15:08:46.400182Z digest=sha256:86bf9663ea9b23adf064c9f637c4de10ab08a38fb06b39556364395558824be9

Observation 11ba9f15-6b15-4067-a9d6-e1d9bb6d61ea · outbound

This paper cites Berndt, Ramanujan’s Notebooks, Part III, Springer -Verlag, New York, 1991.

Proofs for certain Pi_{q}-conjectures of Gosper Berndt, Ramanujan’s Notebooks, Part III, Springer -Verlag, New York, 1991

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:46.874720Z

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.

source=pdf_text observed=2026-08-14T15:08:46.417770Z digest=sha256:e92654052cafefce8b2f3dc5cc1e24389304ebeb4f3d3b643a722e441d61b92d

Observation 1595a368-9121-4eee-a1ca-c08bef914739 · outbound

This paper cites El Bachraoui, On the Gosper’s q-constant Π q.

Proofs for certain Pi_{q}-conjectures of Gosper El Bachraoui, On the Gosper’s q-constant Π q

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:46.837090Z

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.

source=pdf_text observed=2026-08-14T15:08:46.426353Z digest=sha256:feecfefe5f2121bbf715e927c8d302c00f649ccef0d8cc119e2d2722fc50e6d2

Observation 0b518b39-4650-4690-bd1b-f4c4c9cd97ab · outbound

This paper cites Gosper, Experiments and discoveries in q-trigonometry, in: F.G.

Proofs for certain Pi_{q}-conjectures of Gosper Gosper, Experiments and discoveries in q-trigonometry, in: F.G

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T15:08:46.432746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:08:46.432746Z digest=sha256:f6c20f312405d308f3ba467ee7d5c44c1b0cbfa46aaa9b6147d52fa032d5f5a1

Observation 1bbe6fd2-8bc9-4353-b0cb-f2b7497c748c · outbound

This paper cites He and H.-C.

Proofs for certain Pi_{q}-conjectures of Gosper He and H.-C

Reference 6

Resolution
verified exact
doi, observed 2026-08-14T15:08:46.624170Z

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.

source=pdf_text observed=2026-08-14T15:08:46.440086Z digest=sha256:b1a50c0bf41edef402294a6697718bcb7724cba01bc6e96d9a302cc9c8ec92cc

Observation 632a23e4-a9fc-4d1f-b591-40c29f699eb9 · outbound

This paper cites Liu, Addition formulas for Jacobi theta functions , Dedekind’s eta functions, and Ra- manujan’s congruences, Pacific J.

Proofs for certain Pi_{q}-conjectures of Gosper Liu, Addition formulas for Jacobi theta functions , Dedekind’s eta functions, and Ra- manujan’s congruences, Pacific J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:46.742941Z

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.

source=pdf_text observed=2026-08-14T15:08:46.480609Z digest=sha256:eb683e36e67368ee4632319e1105a0958502cca3844e7d639b2572f333d9b089

Observation 4aaae7ce-e107-46e1-b0fe-649343dc8faf · outbound

This paper cites Liu, An addition formula for the Jacobian theta fun ction and its applications, Adv.

Proofs for certain Pi_{q}-conjectures of Gosper Liu, An addition formula for the Jacobian theta fun ction and its applications, Adv

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:08:46.663132Z

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.

source=pdf_text observed=2026-08-14T15:08:46.529655Z digest=sha256:eb074222746d120e17125806644bcd966dbffd34304c9c841132d0f44dfe14ba

Pith citing papers

No inbound Pith citation observations are available.