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Paper Citation Record · LEDGER

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 4 inbound Pith citation observations for arXiv:2411.17613.

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

pith.paper-citation-record.v1
2411.17613 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:06:03.360866Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:59:52.881190Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T12:24:51.307229Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 974681dd-1c63-4bb9-ac5f-748efd1328a1 · outbound

This paper cites Martin, The Foata-Fuchs proof of Cayley’s formula, and 24 LAURENT BARTHOLDI AND PERSI DIACONIS its probabilistic uses , Electron.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Martin, The Foata-Fuchs proof of Cayley’s formula, and 24 LAURENT BARTHOLDI AND PERSI DIACONIS its probabilistic uses , Electron

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.689791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.271445Z digest=sha256:fd8fb8eb86789faa903313cde51db728e6086e81cc1c40ea318b8d64c1528c70

Observation 3964dd04-b189-4749-b2cc-edc9595253bc · outbound

This paper cites 61 (2023), no.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula 61 (2023), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.553794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.316908Z digest=sha256:c45335019c04cbc288ebb577577ccd3d234d37c1c8e48016404562e6633e10a1

Observation d308b87d-ff72-4d40-9dc5-bb5f7a039cc2 · outbound

This paper cites Andersen and Persi Diaconis, Hit and run as a unifying device , J.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Andersen and Persi Diaconis, Hit and run as a unifying device , J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.671169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.277343Z digest=sha256:c75942fcadc5ef9643c92b3e394ae605f93d762f2f6bc1c1bb7a7fccdc6e1606

Observation 800de190-d7fe-447d-85d9-6d27f10dd97f · outbound

This paper cites Graph Theory 69 (2012), no.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Graph Theory 69 (2012), no

Reference 15

Resolution
verified exact
doi, observed 2026-08-12T12:06:03.403185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.360866Z digest=sha256:c7e9e5839e4574ff049a3cc3e39f2f7a7d179bb5113d20de8dd46960395b466e

Observation b760e775-5c8e-46bd-b777-206f1f982902 · outbound

This paper cites Ziegler, Proofs from The Book , sixth ed., Springer, Berlin, 2018, See corrected reprint of the 1998 original [MR1723092], Including illustrations by Karl H.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Ziegler, Proofs from The Book , sixth ed., Springer, Berlin, 2018, See corrected reprint of the 1998 original [MR1723092], Including illustrations by Karl H

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.635450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.288508Z digest=sha256:7bc795256bb4c2f947fcdf62fc0a80efa09ba28ded57ce296e4b9049103fd4ff

Observation 92d9575a-ac35-4488-b47e-b05a2d68853d · outbound

This paper cites MR 353410 [LG05] Jean-Fran¸cois Le Gall, Random trees and applications , Probab.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula MR 353410 [LG05] Jean-Fran¸cois Le Gall, Random trees and applications , Probab

Reference 131

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.444060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.350958Z digest=sha256:70b35c13dbaa4c7e072eaac46def3c9d9043d78928d38b5dc1fbbf4f1a142463

Observation 5b9dc942-c8bf-449a-8fa2-373af60d12f0 · outbound

This paper cites Colbourn and Kellogg S.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Colbourn and Kellogg S

Reference 1965

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.587577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.307418Z digest=sha256:0b30124404a9b13c02997c4815fd0929c995424df6687d8f3d8a745e78131087

Observation 3fa4aac4-7c69-4d40-9012-c674691de52d · outbound

This paper cites an unresolved cited work.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Unresolved cited work

Reference 2003

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:06:03.518131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.327261Z digest=sha256:527e4c37f51ffdd1bac011f50813d2c4b7dc73ee2295210732b713d1d4ceafb0

Observation 6726921e-6342-4091-9839-df31040179bc · outbound

This paper cites an unresolved cited work.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Unresolved cited work

Reference 2007

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:06:03.419758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.356056Z digest=sha256:661f1a306f36f85265c9c3983e1f14c48d2e98d3daf5296efcb56d9a30777466

Observation 77813c36-82ec-455b-b246-6595d79f0fce · outbound

This paper cites Kolˇ cin and Vladimir P.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Kolˇ cin and Vladimir P

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.465776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.344517Z digest=sha256:0c5545eeece4e1dcdd286d7afff99863a9bf4c18ee9a620feccf01ebc914680d

Observation 518c52b4-34a6-449f-aeb9-bdfd115afe99 · outbound

This paper cites an unresolved cited work.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Unresolved cited work

Reference 2016

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:06:03.603360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.303112Z digest=sha256:6a6b8dbd93c71d8fe4cd6c5c6f2ef50476aed2debc6480efbc0f9d9bca1e3c0d

Observation 7c188ffc-2655-42ee-b82a-307f3ad11f2a · outbound

This paper cites Sci., vol.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Sci., vol

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.571952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.312551Z digest=sha256:8c7d1357a4fe4c3b37baa71afd3d74d1c4a57ccc314a6145ed76def98131e2e2

Observation 5ecdb893-1175-4e53-8fe7-66ea4490534a · outbound

This paper cites an unresolved cited work.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Unresolved cited work

Reference 2018

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:06:03.620195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.295644Z digest=sha256:c7e74ac864bb97b118affaccd2e2ecd2df71832a53e1f36ff4d0bb9e162d9990

Observation 864d3bc7-18e6-42fd-8b0f-63bca40f4802 · outbound

This paper cites Burnside process.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Burnside process

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.488247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.333945Z digest=sha256:9565f7e0e7a00750b713168b34975b924f2a80824775899ecda46377a5767174

Observation 2705ad96-4caa-46fd-8356-c4d753eb4bd9 · outbound

This paper cites Leibniz Int.

An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula Leibniz Int

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:06:03.655887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T12:06:03.283964Z digest=sha256:c1af6141aaf96aa073ac56b4f788b21432bd9b6f392d0b24df177e4e5fdb8c59

Pith citing papers

Observation d05fdb80-c29b-48ff-a7d8-3efdb39d21c9 · inbound

Counting the number of group orbits by marrying the Burnside process with importance sampling cites this paper.

Counting the number of group orbits by marrying the Burnside process with importance sampling An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T17:59:52.881190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:59:52.881190Z digest=sha256:45701b7fd401a003a30bbd61fabc269ecf6af734a00a169605a1ad62104a8d00

Observation dd1c3e26-2565-4fb3-80dc-1cfa099b48c7 · inbound

The dual Burnside process cites this paper.

The dual Burnside process An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-22T12:24:51.310578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-22T12:22:17.215037Z digest=sha256:35a903b87eea24869c637e0119f3d31041f08d5fea88e09f3b98a23b77ae5c82

Observation 0eb05e31-7ffb-44a3-9eea-418590ce7e76 · inbound

Leap generators for composition schemes cites this paper.

Leap generators for composition schemes An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T20:41:12.436344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-08T08:18:34.154777Z digest=sha256:27e8f922bb52d6ee09f6ff1020f850d0ee2fe925a2673ffabb33fc23829ec362

Observation 7e23df76-187c-48ce-9223-bec1ce3b0a59 · inbound

Leap generators for composition schemes cites this paper.

Leap generators for composition schemes An algorithm for uniform generation of unlabeled trees (P\'olya trees), with an extension of Cayley's formula

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T14:55:04.356384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:55:04.356384Z digest=sha256:8206759915cfb18590bc81e64028f297a6efc358005d5442c75a7a39c651ce4e