Paper Citation Record · LEDGER

Bijective recurrences concerning two Schr\"oder triangles

As of 23 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.03912.

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

pith.paper-citation-record.v1
1908.03912 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:06:06.341652Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

24 of 24 outbound references displayed

verified exact0
verified fuzzy19
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39f66c90-ab3a-453e-acc9-158b736b2d9f · outbound

This paper cites Barcucci, E.

Bijective recurrences concerning two Schr\"oder triangles Barcucci, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.752408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0feb40ca-a8ca-466e-a1b2-e0540b6c79a5 · outbound

This paper cites Barry, Riordan Arrays: A Primer , Logic Press, Naas, Ireland (2016).

Bijective recurrences concerning two Schr\"oder triangles Barry, Riordan Arrays: A Primer , Logic Press, Naas, Ireland (2016)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.739156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8859b709-74eb-4081-b726-c4658dd92de9 · outbound

This paper cites an unresolved cited work.

Bijective recurrences concerning two Schr\"oder triangles Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:06:06.726137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3cb1c83e-ba13-4eb5-a616-605d6fd963a7 · outbound

This paper cites Chen and Y.

Bijective recurrences concerning two Schr\"oder triangles Chen and Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.713431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0d048d2-8f5a-4ce2-877d-b26bd1e9ff85 · outbound

This paper cites Claesson and S.

Bijective recurrences concerning two Schr\"oder triangles Claesson and S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.697851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f5bba065-37bb-4711-8fea-86ebc129ff38 · outbound

This paper cites Deutsch, L.

Bijective recurrences concerning two Schr\"oder triangles Deutsch, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.673931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1aae1b1d-fa97-4090-a648-864cbb25b160 · outbound

This paper cites an unresolved cited work.

Bijective recurrences concerning two Schr\"oder triangles Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:06:06.657595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4ea99d6b-e79c-43ee-a087-136f8dd12319 · outbound

This paper cites an unresolved cited work.

Bijective recurrences concerning two Schr\"oder triangles Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:06:06.643932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 15882535-cfa2-4786-9e41-d8be5b54d219 · outbound

This paper cites Foata and D.

Bijective recurrences concerning two Schr\"oder triangles Foata and D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.626102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5c75b5e8-053b-42b5-bdc3-970538a6eb6f · outbound

This paper cites He and R.

Bijective recurrences concerning two Schr\"oder triangles He and R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.610409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0762cc3c-1802-4c71-bde0-2010d31646c9 · outbound

This paper cites Kitaev, Patterns in permutations and words , Springer Science & Business Media (2011).

Bijective recurrences concerning two Schr\"oder triangles Kitaev, Patterns in permutations and words , Springer Science & Business Media (2011)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.594895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f22eee20-e093-43a8-b14b-1c06b782ce90 · outbound

This paper cites Luzón, D.

Bijective recurrences concerning two Schr\"oder triangles Luzón, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.572902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5fee72e-5b49-42b8-8f4e-ea359f05bc73 · outbound

This paper cites Merlini, D.G.

Bijective recurrences concerning two Schr\"oder triangles Merlini, D.G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.554931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 33f0dfc0-7ac0-46ad-8d2f-ca1d81cbb384 · outbound

This paper cites an unresolved cited work.

Bijective recurrences concerning two Schr\"oder triangles Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:06:06.536873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 502265ce-0479-4817-8dc0-48bec69b5d14 · outbound

This paper cites Pergola and R.

Bijective recurrences concerning two Schr\"oder triangles Pergola and R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.522057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 12402327-f17f-4d81-ab66-cf82456baa93 · outbound

This paper cites Rogers, Pascal triangles, Catalan numbers and renewal arrays , Discrete Math., 22 (1978): 301–310.

Bijective recurrences concerning two Schr\"oder triangles Rogers, Pascal triangles, Catalan numbers and renewal arrays , Discrete Math., 22 (1978): 301–310

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.508209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3a824de1-1785-4e88-9d62-fa8c20c981aa · outbound

This paper cites Shapiro, Bijections and the Riordan group , Theoret.

Bijective recurrences concerning two Schr\"oder triangles Shapiro, Bijections and the Riordan group , Theoret

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.494479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f2d1f3e7-83de-4a97-b6f6-0896a35e3231 · outbound

This paper cites Shapiro, S.

Bijective recurrences concerning two Schr\"oder triangles Shapiro, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.479317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2aa39955-a235-4960-9d4b-1a9a1b0aa34e · outbound

This paper cites Shapiro and A.B.

Bijective recurrences concerning two Schr\"oder triangles Shapiro and A.B

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.465042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 24872526-c791-4e96-911c-8781c60b54c9 · outbound

This paper cites Sprugnoli, Riordan arrays and combinatorial sums , Discrete Math.

Bijective recurrences concerning two Schr\"oder triangles Sprugnoli, Riordan arrays and combinatorial sums , Discrete Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.448009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e0233af2-8de6-487e-a866-f4a6e17dc4d3 · outbound

This paper cites Stanley, Enumerative Combinatorics, vol.

Bijective recurrences concerning two Schr\"oder triangles Stanley, Enumerative Combinatorics, vol

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.434501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4a4c22bc-63a9-4088-85a5-82bcc2f606fc · outbound

This paper cites an unresolved cited work.

Bijective recurrences concerning two Schr\"oder triangles Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:06:06.419270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4b51513-5fb2-4c57-a8da-78a82c8e4cf7 · outbound

This paper cites West, Generating trees and the Catalan and Schröder numbers , Discrete Math.

Bijective recurrences concerning two Schr\"oder triangles West, Generating trees and the Catalan and Schröder numbers , Discrete Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.403376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1d6965aa-0d9b-4339-ae42-a737ffd4bd9e · outbound

This paper cites Zhu, Log-concavity and strong q-log-convexity for Riordan arrays and recursive matrices , Proc.

Bijective recurrences concerning two Schr\"oder triangles Zhu, Log-concavity and strong q-log-convexity for Riordan arrays and recursive matrices , Proc

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:06:06.384082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.