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Paper Citation Record · LEDGER

Symmetry in Tree Parking Distributions

As of 18 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2509.00436.

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

pith.paper-citation-record.v1
2509.00436 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:51:18.919805Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

18 of 18 outbound references displayed

  • verified exact4
  • verified fuzzy11
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93600bed-1b3b-4416-a44f-ac2a765e2cf5 · outbound

This paper cites 20, 4660–4669.

Symmetry in Tree Parking Distributions 20, 4660–4669

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:21.737166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:17.760187Z digest=sha256:80b4eb7ee2210804d02f9d2a66da6c6c404d2c506c3a16ff7e6efde24823b789

Observation 36a4f945-7619-484e-9a21-4f818f83100a · outbound

This paper cites Flattened Catalan Words.

Symmetry in Tree Parking Distributions Flattened Catalan Words

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:51:19.543822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:17.835709Z digest=sha256:1b0eb0788adb273f05da8399e48f3aeb88fea6049c9f5b0a52c5ab4918d208dd

Observation fe710a31-4d9f-4e5f-a4c4-bd1005c67f84 · outbound

This paper cites an unresolved cited work.

Symmetry in Tree Parking Distributions Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:51:21.549286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:17.911037Z digest=sha256:b1a71d907a0bc7a6f3372c133a97758ff5843487b101d0cd18d5b9373c99096c

Observation 84e8f6aa-4942-4c08-bf86-447328452eae · outbound

This paper cites Yan,Parking distributions on trees, European Journal of Combinatorics65 (2017), 168–185.

Symmetry in Tree Parking Distributions Yan,Parking distributions on trees, European Journal of Combinatorics65 (2017), 168–185

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:21.372534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:17.984460Z digest=sha256:ffd88925095aa27340deab5f88eb232cfe11637f846a9182e22b722a7bc604cf

Observation b75a6ab5-30fc-4900-868a-d2005d5473b3 · outbound

This paper cites Hypergraph Fuss-Catalan Numbers.

Symmetry in Tree Parking Distributions Hypergraph Fuss-Catalan Numbers

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:51:19.345176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.038013Z digest=sha256:127bd6311fce4bd897267c5f67dcb14d2d00ec15ef66fbdc6dfc39c50b980a82

Observation dc319363-b7ee-473f-a717-25256a27eb7b · outbound

This paper cites 1–3, 163–166.

Symmetry in Tree Parking Distributions 1–3, 163–166

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:21.239100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.094794Z digest=sha256:802e89bf289e450039290f1374bfcf4755ca3917a2603a31429783ab5cac865c

Observation a90a96a5-9eaf-4a43-9d36-f7528acd8e54 · outbound

This paper cites 1, 27–35.

Symmetry in Tree Parking Distributions 1, 27–35

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:21.058461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.156333Z digest=sha256:0062be3c2d280943d0c921a8e3456b75620f1f1afa0a1bafa2f71741cf91315b

Observation 5bbd0909-3604-4892-991d-62609f2f1f5a · outbound

This paper cites an unresolved cited work.

Symmetry in Tree Parking Distributions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:51:20.950675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.217864Z digest=sha256:7044a797f28a285a9d5accb54b21ba5c4619cdc25786c6cbce2f0368754ff86d

Observation 35858dc7-29c6-4ee3-bc9a-1f5bc4842059 · outbound

This paper cites Garsia and Mark Haiman,A remarkable q, t-Catalan sequence and q- Lagrange inversion, Journal of Algebraic Combinatorics5 (1996), 191–244.

Symmetry in Tree Parking Distributions Garsia and Mark Haiman,A remarkable q, t-Catalan sequence and q- Lagrange inversion, Journal of Algebraic Combinatorics5 (1996), 191–244

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:20.781840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.299799Z digest=sha256:4f1f164eab64ce063af9cd12361e90b80f0838c121facc24b353cc7a21a606cf

Observation 2c837a3f-24f7-4f8f-aee1-4547fa9bf303 · outbound

This paper cites A refinement of Cayley's formula for trees.

Symmetry in Tree Parking Distributions A refinement of Cayley's formula for trees

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:51:19.185086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.368033Z digest=sha256:5570425a62f29aa270e3e6fbe8e75fb3eefce4e2a295b3b2f6db3c3605b80264

Observation 50714e5c-8e8b-49fb-a84f-f41a0940aa41 · outbound

This paper cites 2, 371–407.

Symmetry in Tree Parking Distributions 2, 371–407

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:20.630188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.437102Z digest=sha256:af31d1c73a2aacf1e64dfdaa1065be205d5086e3b7ab2e6f6a282c3cd5e82cc0

Observation 9b145f2f-b4f2-4acf-abef-579bf4700b80 · outbound

This paper cites Konheim and Benjamin Weiss, An occupancy discipline and applications, SIAM Journal on Applied Mathematics14 (1966), no.

Symmetry in Tree Parking Distributions Konheim and Benjamin Weiss, An occupancy discipline and applications, SIAM Journal on Applied Mathematics14 (1966), no

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:20.474301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.500481Z digest=sha256:fb00a7b757e86bfd1a50a19063ad90c45c248e5d56385370f6d7cbd0fcb97cf1

Observation 8a90d600-9f19-4fbc-a91e-87ca12135f37 · outbound

This paper cites an unresolved cited work.

Symmetry in Tree Parking Distributions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:51:20.330793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.547547Z digest=sha256:da6b77effbc2d125c75d3305f4f3c189a88037258edd83b1b01f5526194bf7c3

Observation 58ccd4d8-2d72-463c-af4b-6aad786587e7 · outbound

This paper cites Penson, and Karol Zyczkowski,Densities of the Raney distributions, Documenta Mathematica18 (2013), 1573–1596.

Symmetry in Tree Parking Distributions Penson, and Karol Zyczkowski,Densities of the Raney distributions, Documenta Mathematica18 (2013), 1573–1596

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:20.174507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.621256Z digest=sha256:6731841af3d34bcbe91e30c56c1e10f2dc8a16c7cf33b7d38d50ec98c0423442

Observation 4a84c71e-b256-4d3d-bab0-26f00f9c73be · outbound

This paper cites A Hopf algebra of parking functions.

Symmetry in Tree Parking Distributions A Hopf algebra of parking functions

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:51:19.022374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.694608Z digest=sha256:9bd88edfbb8654c53343ab4072486248fd4bc196f93585ee09a2e775d8da9b9f

Observation db6b12b1-46cc-4ef6-a764-51b4410a43fe · outbound

This paper cites Stanley,Parking functions and noncrossing partitions, Electronic Journal of Combinatorics 4 (1996), no.

Symmetry in Tree Parking Distributions Stanley,Parking functions and noncrossing partitions, Electronic Journal of Combinatorics 4 (1996), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:20.037095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.762442Z digest=sha256:25bf57f9ff09c53d752df2dc67ec409d3c801b514f64eacb15a4548edc570189

Observation 4bde22a7-f856-405c-8e37-8820521b5df0 · outbound

This paper cites 359–375, Birkhäuser Boston, 1998.

Symmetry in Tree Parking Distributions 359–375, Birkhäuser Boston, 1998

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:19.867748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.831244Z digest=sha256:68734ad08ede2c6e7b851a177bc7aaa0653d619765c1fddb2b0be6b139cab776

Observation 59394606-f097-4e3e-8480-7d084d3866b3 · outbound

This paper cites Yan, Generalized parking functions, tree inversions, and multicolored graphs, Advances in Applied Mathematics27 (2001), no.

Symmetry in Tree Parking Distributions Yan, Generalized parking functions, tree inversions, and multicolored graphs, Advances in Applied Mathematics27 (2001), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:51:19.669988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T13:51:18.919805Z digest=sha256:02348af33938c3ac757a543010eceffd6b6472bd2d05b1172c75f86f442448c7

Pith citing papers

No inbound Pith citation observations are available.