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Paper Citation Record · LEDGER

Some positive differences of products of Schur functions

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:math/0412289.

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

pith.paper-citation-record.v1
math/0412289 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:15:11.083910Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T12:15:13.884325Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1ce68eeb-aeec-4bd6-b012-cea83c5a8ab4 · inbound

Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity cites this paper.

Shuffle Tableaux, Littlewood--Richardson Coefficients, and Schur Log-Concavity Some positive differences of products of Schur functions

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:15:13.969800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T12:15:11.083910Z digest=sha256:80bd381526a01874d28170762e37e7a36d037e6533ba8580e749896198e1a98c

Observation 3c3e4d3c-7e14-4af0-b6ad-40296f674ccf · inbound

Combinatorial interpretation of the coefficients of the order polynomial of fence posets cites this paper.

Combinatorial interpretation of the coefficients of the order polynomial of fence posets Some positive differences of products of Schur functions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T06:10:39.149636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-14T06:10:39.149636Z digest=sha256:0347c704d649d802333700c9fb96f25890e10ac1cc96066f29ec76bff16a0e3d