Paper Citation Record · LEDGER

Extending P\'olya's random walker beyond probability I. Complex weights

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2505.12170.

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

pith.paper-citation-record.v1
2505.12170 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:48:18.935595Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T01:17:09.042487Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T01:20:34.779157Z

Reference resolution

31 of 31 outbound references displayed

verified exact0
verified fuzzy23
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External citation measurements

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Outbound references

Observation 86fd046f-7542-4d3b-a4f4-f0132006020f · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.638260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fb26d884-8d5d-427a-9941-6f6173542912 · outbound

This paper cites Combinatorial Exploration: An algorithmic framework for enumeration.

Extending P\'olya's random walker beyond probability I. Complex weights Combinatorial Exploration: An algorithmic framework for enumeration

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T20:48:18.737944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a46c8ada-2567-4bfb-ab27-47a958331ef9 · outbound

This paper cites Alexanderson, The Random Walks of George P´ olya, The Mathematical Association of America, Washington, DC 2000.

Extending P\'olya's random walker beyond probability I. Complex weights Alexanderson, The Random Walks of George P´ olya, The Mathematical Association of America, Washington, DC 2000

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.613516Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fcb4408d-7ba1-4fbe-810d-3fcec3c74203 · outbound

This paper cites Beck, Recurrence of inhomogeneous random walks, Period.

Extending P\'olya's random walker beyond probability I. Complex weights Beck, Recurrence of inhomogeneous random walks, Period

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.595005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dd1ff1c2-6f80-4e52-ac2c-837c8985c941 · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.574845Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 68b93f9a-9786-4357-8e29-cc7a94421cf0 · outbound

This paper cites Billingsley, Probability and Measure.

Extending P\'olya's random walker beyond probability I. Complex weights Billingsley, Probability and Measure

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.555196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ed98072-654b-4a94-9eb9-9921b18d1f2e · outbound

This paper cites Comtet, Advanced Combinatorics.

Extending P\'olya's random walker beyond probability I. Complex weights Comtet, Advanced Combinatorics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.538598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1ec1eca-9e85-4d1d-aa6a-1edf6130d5fe · outbound

This paper cites Feller, An Introduction to Probability Theory and Its Applications.

Extending P\'olya's random walker beyond probability I. Complex weights Feller, An Introduction to Probability Theory and Its Applications

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.518023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d6ae2e7f-3446-4f9e-ac77-63c8615adcfa · outbound

This paper cites Flajolet and R.

Extending P\'olya's random walker beyond probability I. Complex weights Flajolet and R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.499336Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 41b40a5a-39f6-43e4-9c63-91ccfce74c2b · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.478697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5492af9f-2c23-47c7-b627-bf2b2fa78789 · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.454782Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0329adfc-abf0-4481-95df-15c4d002ba42 · outbound

This paper cites Grimmet and D.

Extending P\'olya's random walker beyond probability I. Complex weights Grimmet and D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.440527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71d10bb0-8abc-489a-9ea8-5ada3f6a4568 · outbound

This paper cites Klazar, A combinatorial model of discrete random walks, in preparation.

Extending P\'olya's random walker beyond probability I. Complex weights Klazar, A combinatorial model of discrete random walks, in preparation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.424203Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88aebbbb-b808-4174-9844-6388fe138bb0 · outbound

This paper cites Klazar, Semi-formal symbolic method in enumerative combinatorics, in preparation.

Extending P\'olya's random walker beyond probability I. Complex weights Klazar, Semi-formal symbolic method in enumerative combinatorics, in preparation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.406688Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57f205ab-586f-4053-9fac-e268be25fe2b · outbound

This paper cites Klazar and R.

Extending P\'olya's random walker beyond probability I. Complex weights Klazar and R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.383880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 11a9a3b1-b865-4414-98bf-edb9c1e15bde · outbound

This paper cites An easy proof of Polya's theorem on random walks.

Extending P\'olya's random walker beyond probability I. Complex weights An easy proof of Polya's theorem on random walks

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T20:48:18.839823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6781fd18-af33-46c5-8181-28591efc46ee · outbound

This paper cites Kolmogoroff, Grundbegriffe der Wahrscheinlichkeitsrechnung , Verlag von Julius Springer, Berlin 1933.

Extending P\'olya's random walker beyond probability I. Complex weights Kolmogoroff, Grundbegriffe der Wahrscheinlichkeitsrechnung , Verlag von Julius Springer, Berlin 1933

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.356017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd1d50dc-d1a1-432e-ac20-6a3cc65e9ccd · outbound

This paper cites Lange, Polya’s random walks theorem revisited, Amer.

Extending P\'olya's random walker beyond probability I. Complex weights Lange, Polya’s random walks theorem revisited, Amer

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.339223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 242df5a3-10f0-4d9d-b9e4-2588b1de2a9e · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.321191Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 751f3a64-f17f-4a23-a0d1-5a1abe4ff745 · outbound

This paper cites an unresolved cited work.

Extending P\'olya's random walker beyond probability I. Complex weights Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:48:19.302478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation edc6d560-b352-486c-85c0-674fef75d2a1 · outbound

This paper cites Novak, P´ olya’s random walk theorem,Amer.

Extending P\'olya's random walker beyond probability I. Complex weights Novak, P´ olya’s random walk theorem,Amer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.282598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 273a213e-978e-4ac6-89d9-fbe3c7e11581 · outbound

This paper cites Polya, ¨Uber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Strassennetz, Math.

Extending P\'olya's random walker beyond probability I. Complex weights Polya, ¨Uber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Strassennetz, Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.262118Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d33944fd-c432-460e-8d93-d4eedd483957 · outbound

This paper cites Polya, Sur la promenade au hasard dans un r´ eseau de rues, Actualit´ es Sci.

Extending P\'olya's random walker beyond probability I. Complex weights Polya, Sur la promenade au hasard dans un r´ eseau de rues, Actualit´ es Sci

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.237662Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13f1300e-3c4b-4dd0-8c04-f1ae68f3071f · outbound

This paper cites R´ enyi, Teorie pravdˇ epodobnosti, Academia, Praha 1972 [Probability Theory, translation of the German edition in 1962, translator not men- tioned].

Extending P\'olya's random walker beyond probability I. Complex weights R´ enyi, Teorie pravdˇ epodobnosti, Academia, Praha 1972 [Probability Theory, translation of the German edition in 1962, translator not men- tioned]

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.215602Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d1dcd70-cd2c-45b0-b9cc-4275a80540f7 · outbound

This paper cites R´ ev´ esz,Random Walk in Random and Nonrandom Environments, World Scientific Publishing Co., Inc., Teaneck, NJ, 1990.

Extending P\'olya's random walker beyond probability I. Complex weights R´ ev´ esz,Random Walk in Random and Nonrandom Environments, World Scientific Publishing Co., Inc., Teaneck, NJ, 1990

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.178213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0307752e-b470-45b4-b821-cf8a650ec5bd · outbound

This paper cites Robbins, A remark on Stirling’s formula, Amer.

Extending P\'olya's random walker beyond probability I. Complex weights Robbins, A remark on Stirling’s formula, Amer

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.158971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd485e6f-b885-4a2a-8f57-34d88c406e25 · outbound

This paper cites wikipedia.org/wiki/Symbolic_method_(combinatorics).

Extending P\'olya's random walker beyond probability I. Complex weights wikipedia.org/wiki/Symbolic_method_(combinatorics)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.137167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ccde80a-5e4b-4f16-92e5-2842fd0bf421 · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory.

Extending P\'olya's random walker beyond probability I. Complex weights Tenenbaum, Introduction to Analytic and Probabilistic Number Theory

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.115316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34c52fc5-9da2-45aa-b80f-cbfc1eb86d3a · outbound

This paper cites Winstein, P´ olya’s Theorem on Random Walks, slides, 2021, available at https://vilas.us/mathnotes/osutalks/ReadingClassics_ PolyasTheorem.pdf.

Extending P\'olya's random walker beyond probability I. Complex weights Winstein, P´ olya’s Theorem on Random Walks, slides, 2021, available at https://vilas.us/mathnotes/osutalks/ReadingClassics_ PolyasTheorem.pdf

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.096071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29981245-f6fc-4524-878a-8c35d476435b · outbound

This paper cites Woess, Random Walks on Infinite Graphs and Groups , Cambridge Uni- versity Press, Cambridge, UK 2000.

Extending P\'olya's random walker beyond probability I. Complex weights Woess, Random Walks on Infinite Graphs and Groups , Cambridge Uni- versity Press, Cambridge, UK 2000

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.073926Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f3e26e31-3659-48b9-857f-39174099a6ef · outbound

This paper cites Woess, Denumerable Markov chains , European Mathematical Society (EMS), Z¨ urich 2009 34.

Extending P\'olya's random walker beyond probability I. Complex weights Woess, Denumerable Markov chains , European Mathematical Society (EMS), Z¨ urich 2009 34

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:48:19.039734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation c552b6f6-e09f-43dd-a913-9ceff0be8ab3 · inbound

Extending the symbolic method in enumerative combinatorics. I cites this paper.

Extending the symbolic method in enumerative combinatorics. I Extending P\'olya's random walker beyond probability I. Complex weights

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-18T01:20:34.781175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.