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Paper Citation Record · LEDGER

Newton polytopes of fireworks Grothendieck polynomials

As of 16 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 2 inbound Pith citation observations for arXiv:2508.09107.

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

pith.paper-citation-record.v1
2508.09107 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:44:04.638792Z

measured 9 of 9 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:48:35.790994Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 044bf395-ecab-4384-8b4a-c34cdc2d7ceb · outbound

This paper cites an unresolved cited work.

Newton polytopes of fireworks Grothendieck polynomials Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:44:04.856418Z

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=2026-08-15T17:44:04.594812Z digest=sha256:4c453bc41e7fab011a7e68ec9b7945e2916d4f0785cf86f01f5dbd813d7e3978

Observation 7f5da9f7-2364-4925-bb19-879ebf341a46 · outbound

This paper cites (N.S.) 25 (2019), no.

Newton polytopes of fireworks Grothendieck polynomials (N.S.) 25 (2019), no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:44:04.823671Z

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=2026-08-15T17:44:04.623658Z digest=sha256:b8d0383365ba86531b1ebb0176d24ca60eef1e8e5f23d3ac59058541faa472af

Observation f9f8b3e3-f89a-464d-847d-3f8f5dd7054a · outbound

This paper cites [SY22] Avery St.

Newton polytopes of fireworks Grothendieck polynomials [SY22] Avery St

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T17:44:04.766815Z

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=2026-08-15T17:44:04.638792Z digest=sha256:d843f19df55efc0b1037ee26f64f46e1e586f9b5167f0255384042035d097095

Observation eba1e9da-b0fa-4a05-852e-34ecd5d5a8d7 · outbound

This paper cites Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability.

Newton polytopes of fireworks Grothendieck polynomials Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T17:44:04.616674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:44:04.616674Z digest=sha256:6999aed725fc2b231d2dddb3603ccc98904f6242e2eb4688e0b1b3c8654e59b4

Observation 4afb227a-ed3d-4f65-8e01-0ea66ba66e3b · outbound

This paper cites Schubert polynomials and patterns in permutations.

Newton polytopes of fireworks Grothendieck polynomials Schubert polynomials and patterns in permutations

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-15T17:44:04.608797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:44:04.608797Z digest=sha256:2b666ae0cfda50abe0dd5446d4911bcbd2d14127957ee61629e45c0f9091bafc

Observation 881cce62-45e4-49ec-90e4-6ff75f120b32 · outbound

This paper cites Equivariant quasisymmetry and noncrossing partitions.

Newton polytopes of fireworks Grothendieck polynomials Equivariant quasisymmetry and noncrossing partitions

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T17:44:04.602373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:44:04.602373Z digest=sha256:25a4d5ba84b36c08a226053db6170982bb85e4e03a148c2bd2bf9a518a524261

Observation 1ce945e4-2601-4baf-80de-8f124c5e238f · outbound

This paper cites an unresolved cited work.

Newton polytopes of fireworks Grothendieck polynomials Unresolved cited work

Reference 2003

Resolution
unresolved
raw_fallback, observed 2026-08-15T17:44:04.803552Z

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=2026-08-15T17:44:04.629335Z digest=sha256:aced00602bf17aa63d6179e56455b0973fa6ceda5156fc2eca0617f739e609f3

Pith citing papers

Observation b19391fa-e3fd-4530-a208-229e2e03066a · inbound

Asymptotically maximal Schubitopes cites this paper.

Asymptotically maximal Schubitopes Newton polytopes of fireworks Grothendieck polynomials

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T18:48:35.790994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:48:35.790994Z digest=sha256:8929620602c4c82602fbde8a30fcba8bc30802f13d0e507ed706e8abc83435f7

Observation 9b4a5f45-14f1-4b9f-a915-749e1ed20fab · inbound

Injectivity of symmetric polynomial maps on partitions cites this paper.

Injectivity of symmetric polynomial maps on partitions Newton polytopes of fireworks Grothendieck polynomials

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-26T17:29:37.990768Z

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=arxiv_source observed=2026-06-26T17:20:06.010184Z digest=sha256:e85d0839241b183a3ee29d565bd954cfa7b69868da06a19bbb75084c12bc5b12