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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.271445Z digest=sha256:9e2951b68b2d9be8e7bafb36a9fe670c0eed994bc3f5270a32eb504df9267fe5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.316908Z digest=sha256:382ee54ebd182eb7de0db3f6bceb92c94abd3904df40857c32e411389cf655b7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.277343Z digest=sha256:d6e4025f6040d28529ada774e6fa9d049ffd561b7a520007db449c6a6b7b43e9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.360866Z digest=sha256:0a06b95d746c6be3f6909a8262b6eac1b620d2007f35f0d5d38e26022962deb4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.288508Z digest=sha256:dff117ba966a507f76561a1b6a169417a8468137e04e1cd57f6488767def9db9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.350958Z digest=sha256:5255a4777c2b35d76052f14ccb41f7ef0aa16c8479c610b3994873642df111dc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.307418Z digest=sha256:8315f0ffbd2c06616e0678e27709ec70c2cd439f3ad63c4df0693e11ac35ac84

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.327261Z digest=sha256:45ccfa3973591b541cb918242d1c5b729f6091286adfe1ce905f6ce7b9514bd1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.356056Z digest=sha256:78504bef5a5367425c3881f7a6014eaec9c2199d753af3f46d4fc323da12c5e1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.344517Z digest=sha256:c54e3efedb6bd221d9be97e3bfab746cd0eedc26f68bc29a05e2e303d48b4d4b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.303112Z digest=sha256:b4b9f73299aa32e575b4efbfde8cbb02118f28e86d5594fd6a612bcca8eaadb6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.312551Z digest=sha256:13ff90462771e84fdbd12edd241fd8b18941fa2dcaa485a2465fc0cab90e6c0b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.295644Z digest=sha256:b6ba13bb759db81775f6e57826e1a46a9f1c776a2121b4c45c4bd48f7ed7064f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.333945Z digest=sha256:a469213c8d3c94b24c317577d9c7c3cfee447af44f10ac2d2f66ea2a02855d8c

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T12:06:03.283964Z digest=sha256:2dac87fe8fcd95c2942549d9ca0c198ea448e0fa77e297ee67ddf2e070814031

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T12:22:17.215037Z digest=sha256:5a87b18ee344029381e66d45f8568fd53f558fa3bff9fa09a6bbc64cb8fdc0ee

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T08:18:34.154777Z digest=sha256:e81dc9f6695d957e6e2744945fcae4c9918d91d0d2396c70c537db91558b9951

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