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Paper Citation Record · LEDGER

The free and parking quasi-symmetrizing actions

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2502.07926.

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

pith.paper-citation-record.v1
2502.07926 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:32:58.589058Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T21:49:27.561734Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T19:56:11.581627Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact3
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b05fa41-0462-4ec1-83ab-beaf848da3d3 · outbound

This paper cites The Hopf algebras of symmet ric functions and quasi-symmetric functions in non-commutative variables a re free and co-free.

The free and parking quasi-symmetrizing actions The Hopf algebras of symmet ric functions and quasi-symmetric functions in non-commutative variables a re free and co-free

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.185351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.363036Z digest=sha256:9698595471a1f98dbf40e66eee2f66faf3e4860e77fda26239e25b26ee1c9ffd

Observation dda2dfa5-5e84-424c-9b0c-8646df0cbe1e · outbound

This paper cites Mappings of acyclic and parking functions.

The free and parking quasi-symmetrizing actions Mappings of acyclic and parking functions

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.172995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.368126Z digest=sha256:ebb9526f9acfbdb5ec0b146dcb0269a6077fcbd90712d69ade1a6c685c32d704

Observation 5364dcee-d67b-41a5-a32a-753bfc644eee · outbound

This paper cites Bidendriform bialgebras, trees, and free qu asi-symmetric func- tions.

The free and parking quasi-symmetrizing actions Bidendriform bialgebras, trees, and free qu asi-symmetric func- tions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.161117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.372618Z digest=sha256:7a98479c4e35b618d06f36886ba5760c6ee29c19372fccf3e44e8f459695e877

Observation 998e3417-3964-470f-ac4c-f2f61ca9f579 · outbound

This paper cites r-QSym is free over Sym.

The free and parking quasi-symmetrizing actions r-QSym is free over Sym

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.149031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.376842Z digest=sha256:af02c55679500e879d36f954f28bacbb7ac00401090b5b835ad46061de21b5af

Observation cbad0a79-1787-4c09-bf82-cd140eb275ea · outbound

This paper cites Combinatoire des fonctions quasi-sym´ etri ques.

The free and parking quasi-symmetrizing actions Combinatoire des fonctions quasi-sym´ etri ques

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.132070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.381498Z digest=sha256:c8ca63de3037694d7144a4519d0d61073a6bc203ceec4d80f02602e11f099f26

Observation a85ee8b5-c671-4992-93e6-dd9b4dac89af · outbound

This paper cites Local action of the symmetric group and gener aliza- tions of quasi-symmetric functions.

The free and parking quasi-symmetrizing actions Local action of the symmetric group and gener aliza- tions of quasi-symmetric functions

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.119216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.385976Z digest=sha256:d038e70f64a8f9777730a1d9b42e067e2b9eb236af7f4781961020f28fd9c20b

Observation b1ede125-7547-4410-9877-e2189214094b · outbound

This paper cites An occupancy discipline and a pplications.

The free and parking quasi-symmetrizing actions An occupancy discipline and a pplications

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.106118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.390662Z digest=sha256:cdf3bd6923f62c283e1709cfb2863ba1d3482cbae49cd3222ba7389c288449aa

Observation e9142f0c-8507-456a-8311-310319210c48 · outbound

This paper cites Le Mono ¨ ıde plaxi que.

The free and parking quasi-symmetrizing actions Le Mono ¨ ıde plaxi que

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.091768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.394785Z digest=sha256:8d452e8d772a469495f8d0ba64b23aa97e58b5cd36a59b370a895922df5006f3

Observation 0c63a14c-3b4e-4873-9f5b-eaa0f7633497 · outbound

This paper cites Duality between quasi- symmetrical func- tions and the Solomon descent algebra.

The free and parking quasi-symmetrizing actions Duality between quasi- symmetrical func- tions and the Solomon descent algebra

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-08T11:32:59.020039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.398879Z digest=sha256:7b7d0e1130004161502e91a405407a374e2fff274afdcb29b33949d5f42253ca

Observation 77d9ba58-d3b2-4abe-8e15-229f47ad6df4 · outbound

This paper cites A Hopf algebra of parking functions.

The free and parking quasi-symmetrizing actions A Hopf algebra of parking functions

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-08T11:32:58.403059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:32:58.403059Z digest=sha256:795f1d177d4e3e8401b0df07ad0cc432d19d78f6ed388932f5c995de2a315904

Observation aa0f8a43-1c62-404f-b7f1-daa73e4490a5 · outbound

This paper cites Hopf algebras and dend riform structures aris- ing from parking functions.

The free and parking quasi-symmetrizing actions Hopf algebras and dend riform structures aris- ing from parking functions

Reference 11

Resolution
verified exact
doi, observed 2026-08-08T11:32:58.805179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.407917Z digest=sha256:a7503cb462146600d93afa9c191f01a3f660f8344a240ac400106d270fcf9dda

Observation 42793e22-79b7-456f-94fc-9070a24bae39 · outbound

This paper cites Permutation factorizations and prime park ing functions.

The free and parking quasi-symmetrizing actions Permutation factorizations and prime park ing functions

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.077525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.412225Z digest=sha256:97e19908eccf5abb590eb85de8273e2e9f4d30caef67c78e854d4407bf8e5d1d

Observation b98f6c34-205f-4159-8291-037008210ec5 · outbound

This paper cites On the enumeration of rooted trees wi th fixed size of maximal decreasing trees.

The free and parking quasi-symmetrizing actions On the enumeration of rooted trees wi th fixed size of maximal decreasing trees

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.063170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.439461Z digest=sha256:3afedb7a8cf2ad4ba9cb8329a60e2b1323b9544339c5e27f9c56a7d0c9ce07ce

Observation 92e72441-063d-4394-9c27-fe0eeef527be · outbound

This paper cites an unresolved cited work.

The free and parking quasi-symmetrizing actions Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-08T11:32:59.049106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.473851Z digest=sha256:12e870c7ba739330f3d3e4a86d777848d72f06d81d38b22c8770e473e6f68a89

Observation 3622f621-2da2-47c6-a2b9-ba9cc883a0c8 · outbound

This paper cites Hyperplane arrangements, parking functi ons and tree inver- sions.

The free and parking quasi-symmetrizing actions Hyperplane arrangements, parking functi ons and tree inver- sions

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T11:32:59.034042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.548704Z digest=sha256:0d9be71e2f5db809e39c0254ca6a62b9f7c1260e4313552432b60a92b95f023d

Observation 057babb5-e40b-4b1b-bae1-0ab5d1978ea0 · outbound

This paper cites Symmetric functions of non-commutative el ements.

The free and parking quasi-symmetrizing actions Symmetric functions of non-commutative el ements

Reference 16

Resolution
verified exact
doi, observed 2026-08-08T11:32:58.673983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-08T11:32:58.589058Z digest=sha256:ba9f5b43be514faec884d9686600eca504eea42d094e1595eaebc703b7b0a735

Pith citing papers

Observation fd8d60c4-5929-4589-963d-8746c45f5e6f · inbound

$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$ cites this paper.

$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$ The free and parking quasi-symmetrizing actions

Reference 87

Resolution
verified exact
arxiv_id, observed 2026-07-01T19:56:11.583190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-28T21:49:27.561734Z digest=sha256:e1d6871ea84ed5bad97796115bac04cc931360b34ca3cb3a54b929db50af4e50