Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:48:18.935595Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-18T01:17:09.042487Z
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
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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
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.
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
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.
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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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
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.
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
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.
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
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.
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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+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
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- 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 2026-08-18T06:34:40.430872+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
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.
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 2026-08-18T06:34:40.430872+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
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- 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 2026-08-18T06:34:40.430872+00:00.