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Paper Citation Record · LEDGER

Closed-form survival probabilities for biased random walks at arbitrary step number

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2505.24814.

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

pith.paper-citation-record.v1
2505.24814 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:22:17.247407Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3891033d-027a-4344-a80f-219e1cdc9752 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:21.195385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:14.975001Z digest=sha256:27b726b465398fdc1f5978a03352ad6cf101012b56c1fed6833628db55024626

Observation a4b0601b-83e8-48c7-a05f-9cdffa0075e1 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:20.969222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.035942Z digest=sha256:35b7a71a8fe09988d6016cbdf2502ccb34cf1611406c7f090214c318034a2fbe

Observation 529d1a30-5fab-4bda-b3fa-e8f6d99ab7d4 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:20.704947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.104599Z digest=sha256:619b173e9fa2ea09714c55ea3764f7a91f6e51d9d926b9a49208369db9edff7a

Observation e6380557-bd98-4555-953b-ea0b5bbc8fe5 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:20.471053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.179116Z digest=sha256:5a12fe3b0961a1e2692412670df925b7fa6213d89cce13fd6f7059491aa9dd2e

Observation fce8aea2-53dc-4c23-9ea1-910c026af9cc · outbound

This paper cites and Avise, J., Genetics 135, 1209 (1993).

Closed-form survival probabilities for biased random walks at arbitrary step number and Avise, J., Genetics 135, 1209 (1993)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:20.270703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.243509Z digest=sha256:ea1cafab94ab3b0ad0ae0e41f85fd05b1dd0ac5506715e75ce619768855456c1

Observation 1646e7c2-0773-4f0d-ac0e-dc3fa2d32d99 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:20.072588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.317184Z digest=sha256:5d9f77943c5d52795a08835c8378ad06f741d0c9a15572c1c7765f5ad4a84b69

Observation 80e39cfc-4cd4-485b-aab3-205257ee53e1 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:19.819975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.385387Z digest=sha256:7f9f2ab6e787d5fb5356b2567fd1e5b52b5a8c5caeb9a60aae97285309b2e63b

Observation ecb628b4-bfb4-4a57-9e99-cca3fd3b8836 · outbound

This paper cites Redner, A Guide to First-Passage Processes (Cambridge University Press, New York) 2001.

Closed-form survival probabilities for biased random walks at arbitrary step number Redner, A Guide to First-Passage Processes (Cambridge University Press, New York) 2001

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:19.597782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.443478Z digest=sha256:8a4aedb7768e5ad108296df22a4e64d8d50175b40406580a0b6a0b25f7b2f416

Observation 7f5a9bf8-66e5-4654-8f9e-a309cbcf7805 · outbound

This paper cites and Haller, E.E., Science 281, 945 (1998).

Closed-form survival probabilities for biased random walks at arbitrary step number and Haller, E.E., Science 281, 945 (1998)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:19.418467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.584097Z digest=sha256:a8172aa6e5baccd1cc1a776e2f667f38a977a4c8825fbc91920b3a8b9ec7378b

Observation dc184178-d8be-4dca-9673-13bf28b1efdc · outbound

This paper cites and Edgar, T., J.

Closed-form survival probabilities for biased random walks at arbitrary step number and Edgar, T., J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:19.259830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.684977Z digest=sha256:4e601b7d6ce0aab3730350e394ff1fb3ed15864b22918777098332b82b988cc9

Observation e3bd724c-4ef7-4dfe-85d3-97e21811a53b · outbound

This paper cites and Zhang, X.,Chemometrics and Intelligent Laboratory Systems 136, 47 (2014).

Closed-form survival probabilities for biased random walks at arbitrary step number and Zhang, X.,Chemometrics and Intelligent Laboratory Systems 136, 47 (2014)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:19.086507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.829816Z digest=sha256:93c0b3af0a1170eb3a0d3bf5994f80e833bd816a78764929a57ae2cd867ad6fd

Observation dc31b42e-024f-48ba-8246-b564e5016937 · outbound

This paper cites N., Sahlberg, I., P ¨oyh¨onen, K., Ojanen, T., Phys.

Closed-form survival probabilities for biased random walks at arbitrary step number N., Sahlberg, I., P ¨oyh¨onen, K., Ojanen, T., Phys

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.962483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:15.951495Z digest=sha256:daab83662f634b52454ee8a1d0268de8326f39ff81343ec0cf3afc966fd46670

Observation a41608c4-297d-4303-971a-12b7dbc97a1e · outbound

This paper cites and Mandelbrot, B., Biophys.

Closed-form survival probabilities for biased random walks at arbitrary step number and Mandelbrot, B., Biophys

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.782611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.084231Z digest=sha256:03a913554bcf69f83d4785c55d10d910af3043a11729195444cac69f4d57c431

Observation 66b5e903-228a-4a7f-bff0-51b7ef19d8b2 · outbound

This paper cites Metzler, G.

Closed-form survival probabilities for biased random walks at arbitrary step number Metzler, G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.628412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.248477Z digest=sha256:7b94d77e20ca22953a6494db6b63aad3aa984948f5ce96ccfab05e241311c22c

Observation 9849fc63-fe42-49fd-b601-3d2bc00d63bb · outbound

This paper cites , V ol.1 (John Wiley & Sons, New York) 1967.

Closed-form survival probabilities for biased random walks at arbitrary step number , V ol.1 (John Wiley & Sons, New York) 1967

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.507682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.415537Z digest=sha256:a05e5f7fb3086e68356cbd335d1cf0bac7caac78cf92cafe94240ea5aa566f2b

Observation 5ce9fc6e-61ff-4d30-bbed-552a09d89c32 · outbound

This paper cites and Amir, A., Am.

Closed-form survival probabilities for biased random walks at arbitrary step number and Amir, A., Am

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.296758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.509381Z digest=sha256:0ca21a01066dd01d2fb9b5a8de198f3c3515c849fadaf2a7183bd3a9f26a2598

Observation 28bc32ce-4dab-4d22-a00d-648a6e6300a3 · outbound

This paper cites and Majumdar, S., Phys.

Closed-form survival probabilities for biased random walks at arbitrary step number and Majumdar, S., Phys

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:18.082017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.632775Z digest=sha256:b1e3c6ebd4ca6f7bee96e322bf0c25a99655f9c5d3466c52e661e1abba2c6b27

Observation ce833e68-4bb0-41c2-961c-5348db157686 · outbound

This paper cites and Stegun I.

Closed-form survival probabilities for biased random walks at arbitrary step number and Stegun I

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:17.915852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.757162Z digest=sha256:c40fe3b38491ccc240ec5c3aef87768dd95bdf57e1d7309aeb5cb78fd6d2a8f0

Observation a45664f7-5b20-4972-a997-292f4ba931af · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:17.816020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:16.921128Z digest=sha256:295897426fc6c1bbbc98210aa98a15c543149fe09daa5340f0313bbedce47e80

Observation 77c90d11-cba6-4607-b6fd-160d81d49f5c · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T12:22:17.062366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:22:17.062366Z digest=sha256:e36d6745b9f119637eec58eb4c8e4d9cc25cb8c6c19849aaf5d5b655769b8374

Observation 454830f4-6ad3-4d36-865e-54657f31628e · outbound

This paper cites and Kostinski, S., Europhys.

Closed-form survival probabilities for biased random walks at arbitrary step number and Kostinski, S., Europhys

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:17.629059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:17.154082Z digest=sha256:f633f7087fc5ba14549e59326bb5ea666094914a93613f6f6b107ac1c931d6b4

Observation 0e784864-cc65-4f2f-8f29-2901f1ab7f28 · outbound

This paper cites an unresolved cited work.

Closed-form survival probabilities for biased random walks at arbitrary step number Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:17.450654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:22:17.247407Z digest=sha256:717dc659a10370b37cb9a29a1923e770e4c17dace0091412a334b345ceb6696b

Pith citing papers

No inbound Pith citation observations are available.