{"as_of":"2026-08-08T21:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bef9289a1fed4ef8e36ee591f8c4f79b0f8f5eef3eeef58ec0284220a0f86267","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:22:17.247407Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.24814/citation-record","integrity":"/paper/2505.24814/integrity","json":"/paper/2505.24814/citation-record.json","paper":"/paper/2505.24814"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:21.091951Z","title":null,"venue":null,"work_id":"93b75d71-8523-473f-8202-c255a4fada06","year":2005},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:14.975001Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:27b726b465398fdc1f5978a03352ad6cf101012b56c1fed6833628db55024626","observation_id":"3891033d-027a-4344-a80f-219e1cdc9752","resolution":{"observed_at":"2026-08-07T12:22:21.195385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:20.847625Z","title":null,"venue":null,"work_id":"a571d055-7602-4119-a33f-ae659d6a3d7e","year":2002},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.035942Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:35b7a71a8fe09988d6016cbdf2502ccb34cf1611406c7f090214c318034a2fbe","observation_id":"a4b0601b-83e8-48c7-a05f-9cdffa0075e1","resolution":{"observed_at":"2026-08-07T12:22:20.969222Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:20.568815Z","title":null,"venue":null,"work_id":"299afc30-405f-4c1a-b0f0-cfb1b1bd8456","year":2007},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.104599Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:619b173e9fa2ea09714c55ea3764f7a91f6e51d9d926b9a49208369db9edff7a","observation_id":"529d1a30-5fab-4bda-b3fa-e8f6d99ab7d4","resolution":{"observed_at":"2026-08-07T12:22:20.704947Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:20.387307Z","title":null,"venue":null,"work_id":"6fec8ec4-f82d-4612-8372-13d5d14e94ac","year":2022},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.179116Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:5a12fe3b0961a1e2692412670df925b7fa6213d89cce13fd6f7059491aa9dd2e","observation_id":"e6380557-bd98-4555-953b-ea0b5bbc8fe5","resolution":{"observed_at":"2026-08-07T12:22:20.471053Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:20.196575Z","title":"and Avise, J., Genetics 135, 1209 (1993)","venue":null,"work_id":"a5f9de1f-3d33-42ee-b0f7-5fb2ab70f3e8","year":1993},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.243509Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:ea1cafab94ab3b0ad0ae0e41f85fd05b1dd0ac5506715e75ce619768855456c1","observation_id":"fce8aea2-53dc-4c23-9ea1-910c026af9cc","resolution":{"observed_at":"2026-08-07T12:22:20.270703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.941706Z","title":null,"venue":null,"work_id":"7e795a32-e68a-44d9-b2b1-4de0751ed7a9","year":1987},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.317184Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:5d9f77943c5d52795a08835c8378ad06f741d0c9a15572c1c7765f5ad4a84b69","observation_id":"1646e7c2-0773-4f0d-ac0e-dc3fa2d32d99","resolution":{"observed_at":"2026-08-07T12:22:20.072588Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.715218Z","title":null,"venue":null,"work_id":"ba92578a-a236-462b-b3ba-8f4a2ed3c894","year":1976},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.385387Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:7f9f2ab6e787d5fb5356b2567fd1e5b52b5a8c5caeb9a60aae97285309b2e63b","observation_id":"80e39cfc-4cd4-485b-aab3-205257ee53e1","resolution":{"observed_at":"2026-08-07T12:22:19.819975Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.507917Z","title":"Redner, A Guide to First-Passage Processes (Cambridge University Press, New York) 2001","venue":null,"work_id":"0719dc45-f592-4464-adc7-2c4ed20c3535","year":2001},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.443478Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:8a4aedb7768e5ad108296df22a4e64d8d50175b40406580a0b6a0b25f7b2f416","observation_id":"ecb628b4-bfb4-4a57-9e99-cca3fd3b8836","resolution":{"observed_at":"2026-08-07T12:22:19.597782Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.337562Z","title":"and Haller, E.E., Science 281, 945 (1998)","venue":null,"work_id":"d2dcf30f-84c0-48b5-8bfd-6bf45904eb96","year":1998},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.584097Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:a8172aa6e5baccd1cc1a776e2f667f38a977a4c8825fbc91920b3a8b9ec7378b","observation_id":"7f5a9bf8-66e5-4654-8f9e-a309cbcf7805","resolution":{"observed_at":"2026-08-07T12:22:19.418467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.193545Z","title":"and Edgar, T., J","venue":null,"work_id":"0096883a-32b8-4e99-b2af-8e28fa6b5caa","year":2009},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.684977Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:4e601b7d6ce0aab3730350e394ff1fb3ed15864b22918777098332b82b988cc9","observation_id":"dc184178-d8be-4dca-9673-13bf28b1efdc","resolution":{"observed_at":"2026-08-07T12:22:19.259830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:19.012292Z","title":"and Zhang, X.,Chemometrics and Intelligent Laboratory Systems 136, 47 (2014)","venue":null,"work_id":"14f5df3e-c084-435c-9a55-3be89d694030","year":2014},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.829816Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:93c0b3af0a1170eb3a0d3bf5994f80e833bd816a78764929a57ae2cd867ad6fd","observation_id":"e3bd724c-4ef7-4dfe-85d3-97e21811a53b","resolution":{"observed_at":"2026-08-07T12:22:19.086507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.863532Z","title":"N., Sahlberg, I., P ¨oyh¨onen, K., Ojanen, T., Phys","venue":null,"work_id":"7f593608-96e6-4b8e-8118-c9903837097f","year":2023},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:15.951495Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:daab83662f634b52454ee8a1d0268de8326f39ff81343ec0cf3afc966fd46670","observation_id":"dc31b42e-024f-48ba-8246-b564e5016937","resolution":{"observed_at":"2026-08-07T12:22:18.962483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.688341Z","title":"and Mandelbrot, B., Biophys","venue":null,"work_id":"72670572-49d7-40ef-a1ab-8d1fe25587a4","year":1964},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.084231Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:03a913554bcf69f83d4785c55d10d910af3043a11729195444cac69f4d57c431","observation_id":"a41608c4-297d-4303-971a-12b7dbc97a1e","resolution":{"observed_at":"2026-08-07T12:22:18.782611Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.560761Z","title":"Metzler, G","venue":null,"work_id":"5997483e-8676-4a46-9687-f0154c426e23","year":2014},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.248477Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:7b94d77e20ca22953a6494db6b63aad3aa984948f5ce96ccfab05e241311c22c","observation_id":"66b5e903-228a-4a7f-bff0-51b7ef19d8b2","resolution":{"observed_at":"2026-08-07T12:22:18.628412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.433649Z","title":", V ol.1 (John Wiley & Sons, New York) 1967","venue":null,"work_id":"d9245d73-5cfb-40b7-baee-1e80fa535ec1","year":1967},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.415537Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:a05e5f7fb3086e68356cbd335d1cf0bac7caac78cf92cafe94240ea5aa566f2b","observation_id":"9849fc63-fe42-49fd-b601-3d2bc00d63bb","resolution":{"observed_at":"2026-08-07T12:22:18.507682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.172221Z","title":"and Amir, A., Am","venue":null,"work_id":"c2105f70-52a9-4f36-ab9b-08a5fb6d5c0d","year":2016},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.509381Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:0ca21a01066dd01d2fb9b5a8de198f3c3515c849fadaf2a7183bd3a9f26a2598","observation_id":"5ce9fc6e-61ff-4d30-bbed-552a09d89c32","resolution":{"observed_at":"2026-08-07T12:22:18.296758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:18.016332Z","title":"and Majumdar, S., Phys","venue":null,"work_id":"f31a52cc-f852-435b-964e-988da7722d39","year":2015},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.632775Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:b1e3c6ebd4ca6f7bee96e322bf0c25a99655f9c5d3466c52e661e1abba2c6b27","observation_id":"28bc32ce-4dab-4d22-a00d-648a6e6300a3","resolution":{"observed_at":"2026-08-07T12:22:18.082017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:17.863488Z","title":"and Stegun I","venue":null,"work_id":"f9304c57-2d59-401b-bd8b-38086bb28307","year":1942},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.757162Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:c40fe3b38491ccc240ec5c3aef87768dd95bdf57e1d7309aeb5cb78fd6d2a8f0","observation_id":"ce833e68-4bb0-41c2-961c-5348db157686","resolution":{"observed_at":"2026-08-07T12:22:17.915852Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:17.749435Z","title":null,"venue":null,"work_id":"1d4cf830-42a8-40d0-80f5-588707b2cdc9","year":2014},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:16.921128Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:295897426fc6c1bbbc98210aa98a15c543149fe09daa5340f0313bbedce47e80","observation_id":"a45664f7-5b20-4972-a997-292f4ba931af","resolution":{"observed_at":"2026-08-07T12:22:17.816020Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:17.062366Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:17.062366Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:e36d6745b9f119637eec58eb4c8e4d9cc25cb8c6c19849aaf5d5b655769b8374","observation_id":"77c90d11-cba6-4607-b6fd-160d81d49f5c","resolution":{"observed_at":"2026-08-07T12:22:17.062366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:17.546679Z","title":"and Kostinski, S., Europhys","venue":null,"work_id":"7af2d2eb-a118-4d67-89b2-6117767f44ca","year":2025},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:17.154082Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:f633f7087fc5ba14549e59326bb5ea666094914a93613f6f6b107ac1c931d6b4","observation_id":"454830f4-6ad3-4d36-865e-54657f31628e","resolution":{"observed_at":"2026-08-07T12:22:17.629059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:22:17.399400Z","title":null,"venue":null,"work_id":"441f4d39-f282-4575-a8fe-e82dac6a76c4","year":2015},"citing_paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:22:17.247407Z"},"links":{"citing_paper":"/paper/2505.24814"},"observation_digest":"sha256:717dc659a10370b37cb9a29a1923e770e4c17dace0091412a334b345ceb6696b","observation_id":"0e784864-cc65-4f2f-8f29-2901f1ab7f28","resolution":{"observed_at":"2026-08-07T12:22:17.450654Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.24814","last_updated":"2025-05-30T17:17:12Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-07T12:10:38.579971Z","submitted_at":"2025-05-30T17:17:12Z","title":"Closed-form survival probabilities for biased random walks at arbitrary step number"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":22},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"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."}