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Paper Citation Record · LEDGER

K-polynomials of multiplicity-free varieties

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2212.13091.

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

pith.paper-citation-record.v1
2212.13091 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:27:07.431550Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T07:26:26.994243Z

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 8b09bd54-5e9e-4856-8d11-261a84698307 · inbound

Hybrid Grothendieck polynomials cites this paper.

Hybrid Grothendieck polynomials K-polynomials of multiplicity-free varieties

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T14:27:07.431550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:27:07.431550Z digest=sha256:a489c773a512b768acfa7bc293a42f6b063581494d3668b858d9f7120b91701f

Observation debb620b-a623-4c6d-a9d8-d7f49ca72ba7 · inbound

Changing Bases with Pipe Dream Combinatorics cites this paper.

Changing Bases with Pipe Dream Combinatorics K-polynomials of multiplicity-free varieties

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T05:49:30.257004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:49:30.257004Z digest=sha256:0bff9e7d8bff7c25a8854df8ddb40b6ef092e16ca92a16b74c0b472d72c81337

Observation df173e6d-63fd-4ddf-b865-3eea1ff9399d · inbound

Syzygies of polymatroidal ideals cites this paper.

Syzygies of polymatroidal ideals K-polynomials of multiplicity-free varieties

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T16:36:06.219709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:36:06.219709Z digest=sha256:6341729af129e4926e2a675dd5f76fe6b7394d859d025d816d82d6133c281e56

Observation dafef1a5-d0fa-4848-ac37-e0e0b357a668 · inbound

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid cites this paper.

Three Combinatorial Algorithms for the Cave Polynomial of a Polymatroid K-polynomials of multiplicity-free varieties

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T11:14:51.490211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T11:14:51.490211Z digest=sha256:8fa5f4d46c34ba3c42f6cd4c0348929cc122c1699dbc179a5c8b657b4935787d

Observation 09dd43b0-d6ac-48ba-94c6-23a8a9c6b31b · inbound

Lattice-free Schubitopes cites this paper.

Lattice-free Schubitopes K-polynomials of multiplicity-free varieties

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:26:26.999168Z

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=pdf_text observed=2026-05-12T03:07:16.844342Z digest=sha256:d637fc82902175d224be32b62685cd4562cd217235d684545d3379c3200170a2