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Paper Citation Record · LEDGER

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2608.01778.

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

pith.paper-citation-record.v1
2608.01778 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:19:04.544997Z

measured 10 of 10 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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8d03a30-2e1b-4971-a69f-177c2e22d881 · outbound

This paper cites Bj¨ orner and M.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Bj¨ orner and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:07.901140Z

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=2026-08-04T21:19:03.110860Z digest=sha256:f81ef71f35ca90edc006e1b51835188adec937015acbf5a01b1d1467738fc942

Observation ff38cd46-9f59-4564-996c-3f7a82823416 · outbound

This paper cites an unresolved cited work.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:19:07.578338Z

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=2026-08-04T21:19:03.241062Z digest=sha256:6b57d3a907ae3d5a5b84c2a02e29a42a0bb8fbc15588bae9924afb46e21d9d71

Observation ed7de86d-1990-4e47-8e4c-f19500e582bc · outbound

This paper cites Equivariant D-modules.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Equivariant D-modules

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T21:19:03.404986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:19:03.404986Z digest=sha256:13eafbd9f632035769fc7e92dd13ddece498d4022f33dc24009134a2d3b556eb

Observation 972776da-bb36-406c-afe2-d08dc3900b5b · outbound

This paper cites Miller and B.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Miller and B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:07.130496Z

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=2026-08-04T21:19:03.580019Z digest=sha256:5da38ce3665f87e42c53a93b1d0bd7e12c497c7baeb9590d7440d5a745bbc130

Observation 4f2d8332-856b-405d-969a-abcdbd841b73 · outbound

This paper cites Nagamine, A-hypergeometric Series with Parameters in the Core, Math.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Nagamine, A-hypergeometric Series with Parameters in the Core, Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:06.772390Z

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=2026-08-04T21:19:03.745886Z digest=sha256:fc19b388df73ee448713dd1e42e7d53ede51264c1d0d1779e36150e8e2d0cc6d

Observation 4940472b-0073-43b7-82c2-ad1465915d60 · outbound

This paper cites Okuyama and M.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Okuyama and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:06.431439Z

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=2026-08-04T21:19:03.886630Z digest=sha256:095dd1a1a20b50bec050b02591f26129514f818e052656343fd340ad77273cea

Observation 37db3e82-67d7-46ed-b5e5-374d878c9b93 · outbound

This paper cites Saito,Logarithm-free A-hypergeometric series, Duke Math.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Saito,Logarithm-free A-hypergeometric series, Duke Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:06.117667Z

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=2026-08-04T21:19:04.057983Z digest=sha256:2656ba21af64644d3b97716fdfe7641f2f06bc08493a71acd115db6ae6dfdfeb

Observation 6438ea7e-5213-453c-a02b-1db9fd251d9e · outbound

This paper cites Saito,Logarithmic A-hypergeometric series, Int.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Saito,Logarithmic A-hypergeometric series, Int

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:05.669162Z

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=2026-08-04T21:19:04.211041Z digest=sha256:e55e77ea50399c6d950bec975dee1288b84ccf30af53c2dc2e7fc0aab587b008

Observation 47ac26d5-a4fc-446f-a7b4-b6baadbb63ad · outbound

This paper cites Saito, B.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Saito, B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:05.240719Z

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=2026-08-04T21:19:04.364482Z digest=sha256:bfec528bded1ec01393d1f0a7d63b77304817a19be4b86a195ca63f93214cf90

Observation abde8fd5-067b-4a8c-8082-3fa698f7891b · outbound

This paper cites Schulze and U.

Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series Schulze and U

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:19:04.875282Z

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=2026-08-04T21:19:04.544997Z digest=sha256:0b5f4590fdf5676349be68105871ff1e4413d27418dc83224d579794e5ea70d9

Pith citing papers

No inbound Pith citation observations are available.