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Paper Citation Record · LEDGER

Cointeraction on noncrossing partitions and related polynomial invariants

As of 24 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.18212.

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

pith.paper-citation-record.v1
2501.18212 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:27:49.182299Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

15 of 15 outbound references displayed

  • verified exact3
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7560bee-0f08-480a-a301-ae5f4485bead · outbound

This paper cites 29, American Mathematical Society, Providence, RI, 2010, With forewords by Kenneth Brown and Stephen Chase and André Joyal.

Cointeraction on noncrossing partitions and related polynomial invariants 29, American Mathematical Society, Providence, RI, 2010, With forewords by Kenneth Brown and Stephen Chase and André Joyal

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.447619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.113402Z digest=sha256:0815c80043006c04d0ef4988d7c856d63e64a585eb93e38f348563ef51f78fa3

Observation 6cff8ccd-66ae-4e32-b686-e4136fdea531 · outbound

This paper cites Biane, Free probability and combinatorics , Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 200 2.

Cointeraction on noncrossing partitions and related polynomial invariants Biane, Free probability and combinatorics , Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 200 2

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.433182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.119009Z digest=sha256:1ba04da76140462e9553b20370a20201342d210e328f9158cbf9b8bb720a09dc

Observation 04d980b1-ef7e-4179-9608-992c6a058021 · outbound

This paper cites 175 (1997), no.

Cointeraction on noncrossing partitions and related polynomial invariants 175 (1997), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.418475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.124096Z digest=sha256:ebbaad12955a560f92a63a84cac2744410a33b0ec8adc2016ee95a1132069add

Observation 15011636-71eb-4e52-9098-aa1a244680f4 · outbound

This paper cites an unresolved cited work.

Cointeraction on noncrossing partitions and related polynomial invariants Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:27:49.403958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.129142Z digest=sha256:13a159142940c83f68c87ed28d03dcf370f6e63f986b1ebcae6a1bea2c3bc109

Observation b5c6fe12-bb69-4fde-8237-a8db47547d5d · outbound

This paper cites an unresolved cited work.

Cointeraction on noncrossing partitions and related polynomial invariants Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:27:49.389634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.134001Z digest=sha256:674fd48284997b959ed45c70f08459ea434a801536c698ba62e9ca46120740e0

Observation 98d2d446-d779-42c8-84d5-98cbe9e2a0e9 · outbound

This paper cites an unresolved cited work.

Cointeraction on noncrossing partitions and related polynomial invariants Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:27:49.374078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.138930Z digest=sha256:626f6d1e9d992e8ef28a85a93ca021495057c4dc06d4445dd83821940029784f

Observation edb286c4-d661-4dbe-a991-b066a7d42184 · outbound

This paper cites Pure Appl.

Cointeraction on noncrossing partitions and related polynomial invariants Pure Appl

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.358129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.144145Z digest=sha256:6e6a169507fc1d0e5402ef1ff574a6b42c1231d6fa74c04d15df0ef80b827560

Observation 00228edc-0e2a-4f3b-8bd5-3c1c41cd5578 · outbound

This paper cites Electron.

Cointeraction on noncrossing partitions and related polynomial invariants Electron

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.343491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.148774Z digest=sha256:c02add17677953eaa7c8e502e4c93e939d145be42d093f8bc7d7de11de7b1c63

Observation b9a0a6ae-00ac-41ee-8341-7c28443c197e · outbound

This paper cites Bialgebras in cointeraction, the antipode and the eulerian idempotent.

Cointeraction on noncrossing partitions and related polynomial invariants Bialgebras in cointeraction, the antipode and the eulerian idempotent

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T00:27:49.153392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:27:49.153392Z digest=sha256:344063ced0e956968adcaa60b4a20368905128ec29b06517d6834c06922529d5

Observation a8d3b3ba-2061-44da-a2fc-9c09ee530985 · outbound

This paper cites Contractions and extractions on twisted bialgebras and coloured Fock functors.

Cointeraction on noncrossing partitions and related polynomial invariants Contractions and extractions on twisted bialgebras and coloured Fock functors

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:27:49.267120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.158387Z digest=sha256:d383a63362b5644c50100b380d3f648a5e30edf9863f9711f2d9bf6eef978669

Observation cee7494d-2854-482f-82f2-71b12c8aa8c1 · outbound

This paper cites Hopf algebraic structures on hypergraphs and multi-complexes.

Cointeraction on noncrossing partitions and related polynomial invariants Hopf algebraic structures on hypergraphs and multi-complexes

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:27:49.246900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.163092Z digest=sha256:07f7f7e192289a208d9c6c6164459b98c1e30414b157d73dd41ad995d7a60d33

Observation 9edbebd7-4138-4526-b366-6374304fb512 · outbound

This paper cites Hopf-algebraic structures on mixed graphs.

Cointeraction on noncrossing partitions and related polynomial invariants Hopf-algebraic structures on mixed graphs

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:27:49.224859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.168079Z digest=sha256:34fb924a60d58acf8436d1b8779606c30e1a940f0a6004b9d5d93d41f3b2bd16

Observation 18d87ee4-0a3b-46cf-9f48-8a9ad9a00f5c · outbound

This paper cites an unresolved cited work.

Cointeraction on noncrossing partitions and related polynomial invariants Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:27:49.328192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.172997Z digest=sha256:502241159bb03f50511f23a01a0cf0f9c414b0fb6669a17c7e7cbf6ee3f66e54

Observation eaad0970-13ab-4905-986e-f8b95671607e · outbound

This paper cites 217 (2000), no.

Cointeraction on noncrossing partitions and related polynomial invariants 217 (2000), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:27:49.313185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.177593Z digest=sha256:c5e7cee9477259ead04c731f374cee1429a51aa325b22ce6f5c07f6a273a8fe2

Observation a9a386fe-5c61-496e-83c5-8f8c455f04ec · outbound

This paper cites an unresolved cited work.

Cointeraction on noncrossing partitions and related polynomial invariants Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:27:49.297830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T00:27:49.182299Z digest=sha256:7a98d37bfa7b11ea0761f5611a820444558817937b492d7ca48b76b1bc2b5057

Pith citing papers

No inbound Pith citation observations are available.