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Paper Citation Record · LEDGER

Falling stars: a fall-decorated rational shuffle theorem

As of 17 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2508.20935.

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

pith.paper-citation-record.v1
2508.20935 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:50:25.339655Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c845df1-205e-464e-bb9f-a5d5b0d233c7 · outbound

This paper cites A combinatorial skewing formula for the Rise Delta Theorem.

Falling stars: a fall-decorated rational shuffle theorem A combinatorial skewing formula for the Rise Delta Theorem

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-05T14:50:25.368889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T14:50:25.328460Z digest=sha256:4b3378e4d1e2730b59b30374d29926ee527facd6e575e753d6735911cef0e143

Observation fdc991e6-e7e2-42bf-953b-780183137cde · outbound

This paper cites Remmel, and Andrew T.

Falling stars: a fall-decorated rational shuffle theorem Remmel, and Andrew T

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:50:25.387748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T14:50:25.336552Z digest=sha256:33a5108d1b658b8a64f103a7e0c2ce85e6c1ba013e0aa0743d3319febd91870f

Observation b83ad560-b97b-425e-aadf-e05ba87a3bf5 · outbound

This paper cites Zelevinsky, Oxford Science Publications.

Falling stars: a fall-decorated rational shuffle theorem Zelevinsky, Oxford Science Publications

Reference 1995

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:50:25.379043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T14:50:25.339655Z digest=sha256:6ede1059f3040cd8fb1f997989fd285a1774ee5a7ad243c67abfe37350ecf4e7

Observation e98ec53a-f5d3-4b8b-b3e2-b87bd810969a · outbound

This paper cites MR2371044 [Hai01] Mark Haiman, Hilbert schemes, polygraphs and the Macdonald positivity conjecture , J.

Falling stars: a fall-decorated rational shuffle theorem MR2371044 [Hai01] Mark Haiman, Hilbert schemes, polygraphs and the Macdonald positivity conjecture , J

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:50:25.396942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T14:50:25.333311Z digest=sha256:114ae670056c232e0f08e6c95a36d926938b285df5b5399f7f884e157a7fdb95

Pith citing papers

No inbound Pith citation observations are available.