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Paper Citation Record · LEDGER

New Invariants for Permutations, Orders and Graphs

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.04841.

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

pith.paper-citation-record.v1
1908.04841 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:52:23.481277Z

measured 35 of 35 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 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

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy19
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871b7bd9-43d5-4c94-83af-baaaa129c6b0 · outbound

This paper cites Adiprasito, J.

New Invariants for Permutations, Orders and Graphs Adiprasito, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.163953Z

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=2026-08-14T13:52:23.311165Z digest=sha256:e7c9c216285766fcd601b47979de4d7b1178977220e103f564bd71472e3ba538

Observation 01ad7c57-04c4-4526-8a9d-1948f432960d · outbound

This paper cites Hopf monoids and generalized permutahedra.

New Invariants for Permutations, Orders and Graphs Hopf monoids and generalized permutahedra

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T13:52:23.316368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:52:23.316368Z digest=sha256:28101632b29ff78fda1c3980fb34c8ccd3f38d5009aee146d092a3dbc156bab6

Observation 771d3b09-2c39-420f-b122-73d4a101e6ae · outbound

This paper cites Aguiar, N.

New Invariants for Permutations, Orders and Graphs Aguiar, N

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.150746Z

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=2026-08-14T13:52:23.321779Z digest=sha256:e9830acc0f900fe34ee2cf6528de8bf0a1376cfd3e570191657c0631a807d811

Observation 19d0afac-f8d8-4019-9f3d-483a792e2cc6 · outbound

This paper cites Aguiar and S.

New Invariants for Permutations, Orders and Graphs Aguiar and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.138118Z

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=2026-08-14T13:52:23.327102Z digest=sha256:d8e9101b55abe959c9bbe6880433b36d7c7fb8fe8728aca05cdd5ca6ce81c412

Observation 7a6489f2-9c49-49c5-9be8-4dcfeff267f1 · outbound

This paper cites Cancelation free formula for the antipode of linearized Hopf monoid.

New Invariants for Permutations, Orders and Graphs Cancelation free formula for the antipode of linearized Hopf monoid

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:52:23.554518Z

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=2026-08-14T13:52:23.332376Z digest=sha256:6614874b00610627b3206d19fe411b9b0585b5cb1450c677fe66941cb3ab4478

Observation 9c344f0d-8c7a-42a1-b7be-78d64744697f · outbound

This paper cites Benedetti, N.

New Invariants for Permutations, Orders and Graphs Benedetti, N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.126147Z

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=2026-08-14T13:52:23.338212Z digest=sha256:067212e8d003eeeb71e4a72bd82f082761fdc0d7f6311820bd77c4aa710ade99

Observation b3a7f549-51f4-4cce-9f4b-970c407f6e65 · outbound

This paper cites Benedetti, J.

New Invariants for Permutations, Orders and Graphs Benedetti, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.113642Z

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=2026-08-14T13:52:23.343876Z digest=sha256:f550b25ab311045c246b90962f32b8adf0d4567e526e95750e51a6a5b4e5dca0

Observation d8e762dd-096a-44ce-aade-671c8c58274e · outbound

This paper cites Benedetti and B.

New Invariants for Permutations, Orders and Graphs Benedetti and B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.101762Z

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=2026-08-14T13:52:23.349007Z digest=sha256:2ddb996df10d3d5662cf9838924ea3030e202e8be03bbe031d87b2a0014accd8

Observation fb629566-1222-47b4-b05d-7e62da8b4488 · outbound

This paper cites Bergeron and A.

New Invariants for Permutations, Orders and Graphs Bergeron and A

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.088730Z

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=2026-08-14T13:52:23.353399Z digest=sha256:ff34494d1e757f1fd76c2a9bf1494247fa82bcb2a1bb8ca1c0792603ea9f215c

Observation c4e914fa-affc-4074-b6a2-19ee1afb7238 · outbound

This paper cites Bergeron, A.

New Invariants for Permutations, Orders and Graphs Bergeron, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.075018Z

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=2026-08-14T13:52:23.358120Z digest=sha256:1e9175efecf8b0e81038b9da391860d9d8828219833d9833e22801cf46ead0c2

Observation 6effbea5-5054-4657-9b7f-38a9234c74e8 · outbound

This paper cites Bergeron, F.

New Invariants for Permutations, Orders and Graphs Bergeron, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.916975Z

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=2026-08-14T13:52:23.369432Z digest=sha256:6bbef75835c71e654f7af4f9d4e96bda8c477445b36a0404dd68e74795d8d007

Observation 99cb3f8e-1d69-44d6-834f-b0b04848ae28 · outbound

This paper cites Breuer and C.

New Invariants for Permutations, Orders and Graphs Breuer and C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.903844Z

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=2026-08-14T13:52:23.374430Z digest=sha256:98f4b7b653939054f4b1d4bef6868992825c62b9fda6a72a65c9934262c738eb

Observation 3f0e3dbf-73f4-4d30-a6d5-004a1b3552e3 · outbound

This paper cites Carlsson and A.

New Invariants for Permutations, Orders and Graphs Carlsson and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.887941Z

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=2026-08-14T13:52:23.378969Z digest=sha256:4bc719b4826abd947dc1b378ecfc7d7fb1461c783bd5a3a30c5f45cda0415f55

Observation 704215e2-de8f-446f-a8fe-449b7dca7794 · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.874998Z

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=2026-08-14T13:52:23.383294Z digest=sha256:a5bc8c96f6d1383188b41ea78de35f2fe8b19426e489c5cb87650af836c2bafa

Observation a3d6d73e-5287-4283-82d6-fe8b333a142d · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.858932Z

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=2026-08-14T13:52:23.387795Z digest=sha256:3c0b88f43167892173ee5df9d8e980f62d9152f80d27e4912aee0bd6540b473f

Observation 604b3a44-418e-4dd9-88ca-7420e9215f55 · outbound

This paper cites Gruji´ c and T.

New Invariants for Permutations, Orders and Graphs Gruji´ c and T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.844432Z

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=2026-08-14T13:52:23.392588Z digest=sha256:a0a51b50d7523ebf87e0faf9e74ccb4ad0d4d1119868edbb32db213cd32a7232

Observation b930685b-e97b-422d-8d5e-8ca74636c9e2 · outbound

This paper cites Gruji´ c, T.

New Invariants for Permutations, Orders and Graphs Gruji´ c, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.830914Z

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=2026-08-14T13:52:23.397339Z digest=sha256:039d4e8b9d95f671f09fe857f4616d13cc2cb07c2a8ccd886d267b22a2cd6eb3

Observation 145759fe-1c24-4fca-aae5-f1b0575ab5e0 · outbound

This paper cites Haglund, M.

New Invariants for Permutations, Orders and Graphs Haglund, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.815687Z

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=2026-08-14T13:52:23.402681Z digest=sha256:3668564dfd75cf318c4e6b3b824bb47696b22cd187af7f1ef73c1e7aaf6c303d

Observation 1531ea19-fcc7-4bb6-9b42-0d872d738116 · outbound

This paper cites Haglund, J.

New Invariants for Permutations, Orders and Graphs Haglund, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.801128Z

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=2026-08-14T13:52:23.408083Z digest=sha256:6fc79c6476504dabc65eee999b7b37b196d186d45255fb6be0e85bd2981f733b

Observation a7c78607-3f21-4eeb-9861-96c7a357200f · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.786046Z

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=2026-08-14T13:52:23.412785Z digest=sha256:c49f8283075c5588fb4f09a44e7fe0a7a5f4ed3c4c90a068326e24346aa3adc9

Observation ba418f09-5575-48eb-af6f-aa9d5ca954d8 · outbound

This paper cites Humpert and J.

New Invariants for Permutations, Orders and Graphs Humpert and J

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.772223Z

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=2026-08-14T13:52:23.419725Z digest=sha256:122878b7af66fd16e48c513f090a13f6d7248167082220a3ea88eea252aaa40b

Observation 36f6db0c-415b-4149-ab17-e94855c43e4c · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.758961Z

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=2026-08-14T13:52:23.424512Z digest=sha256:4a67ede11bf708343907cdf0cd307e25ed2c6b11279b9419dfa5a2629a724739

Observation 4e5cef5e-9897-42a0-8ba4-d80db996a528 · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.745108Z

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=2026-08-14T13:52:23.428834Z digest=sha256:d7ca235b5c61d67b014d852acd4b49301a82498fd27918736f58646aef252fc9

Observation 73846e99-8a09-4bfd-ab37-d0f1d995f571 · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.730331Z

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=2026-08-14T13:52:23.433776Z digest=sha256:391a4413519bd716b5073c7ce242eaaf6939b4f7b67548e54912e08591489d4a

Observation 49c55d11-b992-4e52-b483-c198bdb25f18 · outbound

This paper cites Machacek.

New Invariants for Permutations, Orders and Graphs Machacek

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.714756Z

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=2026-08-14T13:52:23.438707Z digest=sha256:4dbd18cc772b57fbd0a714834930eb9e142289a7a9c4805737e7c158dc391e9b

Observation d6767fba-d5cd-4d5d-931c-821a52d1ab9c · outbound

This paper cites A combinatorial model for $\nabla m_\mu$.

New Invariants for Permutations, Orders and Graphs A combinatorial model for $\nabla m_\mu$

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:52:23.531166Z

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=2026-08-14T13:52:23.443171Z digest=sha256:18c11e5c645333428bcdba5f9a4ee9a29154b187965eaf31b918e536cea74a55

Observation fe327eaf-c088-40af-afad-e496a558ff8f · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.696665Z

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=2026-08-14T13:52:23.448726Z digest=sha256:451b1b402213b3386bd65e53662e9f5f38cc2be05ed4f20c9e809120a824a9cf

Observation a6488561-3d47-4aa6-8ceb-3b02134c95cb · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.682429Z

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=2026-08-14T13:52:23.453709Z digest=sha256:f857293a817a60c6db38d7c9c2dfceda5a8505c330c0c6a82dee49477c2d7151

Observation 559c15c1-1439-4e7c-bccb-2995abbd1766 · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.666388Z

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=2026-08-14T13:52:23.457656Z digest=sha256:f2406b3ac9d5675eca4326a28451da33030a0f4be582bb68b823b56a09763470

Observation 6c4ee92b-5823-457a-a4c0-4ed8b597edc0 · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.649482Z

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=2026-08-14T13:52:23.461767Z digest=sha256:98686d61fc809199fa608603d29a83b76834205272e2df90c690893b05bda5de

Observation 6b8faded-eaec-4663-88f8-b5b9f358498b · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.636151Z

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=2026-08-14T13:52:23.466015Z digest=sha256:edfbace47a912ccde86ecd90f460e32cb9b79b8c2e8e0c056b292cf4f56dd38a

Observation 997e4994-2616-4ad7-9252-782dca18d9ed · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.622219Z

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=2026-08-14T13:52:23.471326Z digest=sha256:9acfbcdc4e1e68e7745f55160fd91ead5769788e0d0ed92dfab34d0c1840913e

Observation 1641555f-9388-406f-9db2-c5ebe7777965 · outbound

This paper cites Takeuchi.

New Invariants for Permutations, Orders and Graphs Takeuchi

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:23.605805Z

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=2026-08-14T13:52:23.476006Z digest=sha256:702362a9849874cea221a0a45cd4dbb728c2c34a6d1595df93ad0bda15d6301e

Observation 647e7e04-1e79-4560-be67-48e58198b2ef · outbound

This paper cites an unresolved cited work.

New Invariants for Permutations, Orders and Graphs Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:52:23.589757Z

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=2026-08-14T13:52:23.481277Z digest=sha256:d63e705ef82128d3c936909af2a0ccedb0b748974659192320f0eb96c5e3ce0b

Observation 86317410-3d7a-4a24-b399-517d12b0112a · outbound

This paper cites Askey on the occasion of his 65th birthday, Part III.

New Invariants for Permutations, Orders and Graphs Askey on the occasion of his 65th birthday, Part III

Reference 1999

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:52:24.060835Z

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=2026-08-14T13:52:23.364732Z digest=sha256:0775e231b1da231d180db9c20bcb87ca0709805f073789a205fd7870a9df1766

Pith citing papers

No inbound Pith citation observations are available.