Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:30:28.878084Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2506.08407.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:30:28.878084Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 83ba0603-9300-46da-ad52-7d563de123d0 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Aigner,Motzkin numbers, Europ
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57f87a83-1606-4905-a89b-82be4f97a774 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Asakly,Enumerating symmetric and non-symmetric peaks in words, Online J
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c66ae39e-0dfb-4a79-881a-481aa0b78e51 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Barcucci, R
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f3c50dd9-c590-48a5-bff2-1dea68c0d127 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Baril, S
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a83ab86b-cc51-46a8-8cad-d08eb6e8d010 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Baril, S
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 18019822-30fa-4189-94c5-eff30529c602 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Barry,Riordan Arrays: a Primer, Logic Press, 2017
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3f7b0b86-beb3-400e-bffb-d33f95aea3d3 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Barry, A
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5ed78b60-1123-4ff4-a2df-3326cc8e3a87 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Blecher, C
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dddb4dec-7b59-42d8-93ba-5aa14f649b11 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Bonin, L
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8896422a-b867-4bb8-b629-adeafef188b4 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Brennan and S
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 304f3ce4-044e-415f-ae65-e3d9397bd880 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 04f28153-4f50-4592-8f22-2136da38f481 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Chen and H
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fcb74803-0a2f-4133-be94-780cf2c99baa · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5eaf0b99-d3c7-4d55-bc82-1806be7e1d91 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Czabarka, R
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f32575d9-892d-4b4f-8b28-5fa703227775 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Czabarka, R
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 50e5b550-573e-4346-956c-a678658e113b · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors D’Adderio, A
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6d3cc9d7-4c42-4e51-a25c-9182772fcdd9 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Denise and R
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 689b406d-e251-4fa0-ad40-0f70cbb94d17 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Deutsch,Dyck path enumeration, Disc
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 884e349b-bc1d-424e-997b-f437c74d5982 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Donaghey and L.W
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 011891ed-3bc3-452b-97cd-6e336bc47055 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Elizalde,Symmetric peaks and symmetric valleys in Dyck paths, Disc
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 460263f7-4556-4e5a-a8fc-d072106536a0 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Ferrari and E
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5911f47f-cd5c-48b2-8c0c-1f41d6a2a017 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Fl´ orez, L
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5d6690a8-189b-4d56-a9da-ca6ee8262a23 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Fl´ orez and J.L
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d5e5d509-1b36-4c84-b93a-999312bb24e2 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Fl´ orez and J.L
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d478b120-ac1f-4964-9bb9-c02ae32088dc · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Garsia and G
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2f6af3ee-9a2a-4530-8c2e-627d71120b98 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Gessel,Lagrange inversion, J
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e0ecaa02-89c8-4135-b586-0df15012b43a · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Haglund,Conjectured statistics for the q, t-Catalan numbers, Adv
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 83901bd6-6b4b-4608-9d1f-74f09262ce0b · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors He,Sequence characterizations of double Riordan arrays and their compressions, Linear Algebra Appl., 549 (2018) 176-202
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 977e490a-0bc8-44c9-b3b1-bdc80aa10f36 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Manes, A
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 92ec1ca0-086b-42da-9757-a6379e993435 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Mansour,Counting peaks at height k in a Dyck path, J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation de050fde-fd3e-471c-99b9-10898c8e604c · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Mansour,Statistics on Dyck paths, J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91f0f27a-9999-40af-886d-113e2654b743 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Mansour, M
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d8b1057-79e6-48bc-b36f-fe29abfe93d1 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Merlini, D.G
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 18ed330b-fbc3-4c6d-af50-73fa248e95dc · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Merlini, R
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 982dac8f-a678-4266-b427-ed00d4145832 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Panayotopoulos and A
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1cd06023-49bf-4e81-9b70-684c0360d013 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Peart and W.J
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 596ba6a9-83b5-4e35-a08c-83ec6fc3ebaa · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Rogers,Pascal triangles, Catalan numbers and renewal arrays, Disc
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fad9cd78-6ac3-48bd-94fb-286eaba7724b · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sapounakis and P
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b679be37-7846-4f57-9139-a20f9568c841 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sapounakis, I
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 74d30dcf-c886-4131-9f8f-ce0aada20b89 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Shapiro,A Catalan triangle, Disc
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 64cc6c39-675c-4852-8278-0e207da6cb63 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Shapiro,A survey of the Riordan group, available electronically at Center for Combinatorics, Nankai University, 2018
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cb28de21-5eb3-4c28-815c-1f54196ef7c7 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Shapiro,Bijections and the Riordan group, Theoret
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c15da84d-1c3c-47c1-baae-e900d8bb076b · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Shapiro, S
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ba3773b8-84ac-4340-a3d6-f11e6ffe47f2 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Shapiro, R
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2b755020-2130-4e04-92ec-ec4111cc336e · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sloane,The On-Line Encyclopedia of Integer Sequences, http://www.research.att.com/∼njas/ sequences
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4c6e4a11-7ae9-4899-a347-abef479f7b84 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors S lowik, Some (counter) examples on totally positive Riordan arrays, Linear Algebra Appl., 594 (2020) 117-123
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7e65112c-23b5-46e3-a7d5-26c6ec86d517 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sprugnoli,Riordan arrays and combinatorial sums, Disc
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a0e075ae-3ca0-405a-837f-427c1d16003d · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Stanley,Catalan Addendum, http://www-math.mit.edu/ rstan/ec/catadd.pdf, a version of 25 May 2013
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2cb0ec4a-0c49-4b56-ae45-6a782129181f · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Stanley,Enumberative Combinatorics, vol
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a6410c2f-3ba4-438e-8c30-d22fc2ae618a · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sun and Y
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6b108abd-4d03-4197-ba10-a1dbf844724e · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors number of udu’s
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 539f25d9-5e40-4b18-a01d-b188031896f2 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sun and C
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8164497a-8d21-4117-b627-cdefb60d6930 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sun and F
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 27d8eb95-8f77-49cf-9383-c3beb2a9602e · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Sun and L
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91e3b4ae-3fb1-46f7-b860-2d4880022ff9 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Unresolved cited work
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eb0ac1aa-f454-4a37-ae58-a7bb1f11b9a2 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2038a50a-0284-447d-823a-38a4e78f4009 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Wagner and H
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29ef7d4d-e702-4137-aa59-ea0a37e0c9ae · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Xin and Y
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5492f0ed-3352-4956-92a7-f7ffc2d68558 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Xin and Y
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b866f724-c85b-4275-86e3-17fa7d8fee49 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Yang and S.-L
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 10d1c861-747d-4cdb-bf82-0acb42ffd078 · outbound
Enumerating several statistics of r-Colored Dyck paths with no dd-steps having the same colors Zhang, X.-Q
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
No inbound Pith citation observations are available.