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Paper Citation Record · LEDGER

Gamma-positivity for octopuses: a bijective proof

As of 18 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2608.13247.

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

pith.paper-citation-record.v1
2608.13247 v1

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:34:58.698164Z

measured 5 of 5 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

5 of 5 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a164a7ee-1953-4631-a161-58fd6a0a3904 · outbound

This paper cites an unresolved cited work.

Gamma-positivity for octopuses: a bijective proof Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:34:58.903648Z

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=2026-08-14T15:34:58.674138Z digest=sha256:47d6fba75bd8d5c2cda97fdcff7577d70746d5f577399b2c39bf83848664e464

Observation 14a381fa-2493-423a-9948-fdc22e2f32b9 · outbound

This paper cites an unresolved cited work.

Gamma-positivity for octopuses: a bijective proof Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:34:58.888611Z

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=2026-08-14T15:34:58.679534Z digest=sha256:a538072653847c03eee11c46aece3a29a3c0f295e6c892d50a92ba3176769f3b

Observation 434f0b9d-727c-4209-9bc1-a4423a4e939e · outbound

This paper cites Polytopes and posets associated to preorders.

Gamma-positivity for octopuses: a bijective proof Polytopes and posets associated to preorders

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:34:58.851983Z

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=2026-08-14T15:34:58.685092Z digest=sha256:8b6dc6ffd1ee0723ae56ed60ac712344d503cb4d57a3ad30f8dc4439c10a4e8d

Observation 3558ffbc-eb00-417c-8dbe-a072731bd1fc · outbound

This paper cites an unresolved cited work.

Gamma-positivity for octopuses: a bijective proof Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T15:34:58.691617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:34:58.691617Z digest=sha256:a2569ddb5e2cb645387c22acfa424d747fad27c330bfa0d5f42bfd0e8c7f197d

Observation d536dbe5-ba1b-4d82-8c7b-38d418ebdcd4 · outbound

This paper cites Chapoton.

Gamma-positivity for octopuses: a bijective proof Chapoton

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:34:58.875004Z

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=2026-08-14T15:34:58.698164Z digest=sha256:238448e8b16b3fc7cf4cfffc73ab452dff3e5d7a56f9abb3c6de9805ad6c0ef2

Pith citing papers

No inbound Pith citation observations are available.