{"as_of":"2026-08-08T06:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:898dc26cf47e78ee4441c85281262cf7aafefc7c0096d663e65dd17d88ae990b","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:20:12.537571Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:20:10.246533Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T12:20:13.005207Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"cited_work":{"arxiv_id":"2505.24813","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.24813","snapshot_observed_at":"2026-08-07T12:20:13.005207Z","title":"Critical demand in a stochastic model of flows in supply networks","venue":"physics.soc-ph","work_id":"84188540-77d7-44a4-9fec-b114bcb450ba","year":2025},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.246533Z"},"links":{"cited_paper":"/paper/2505.24813","citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:fe09281ea28c01eeb5593b22ac07b7f4b896b8a4d136fd32701b8ca979dde6c9","observation_id":"c358ca02-d4ad-4651-8036-a20ef4868a94","resolution":{"observed_at":"2026-08-07T12:20:13.115265Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/2505.24813/citation-record","integrity":"/paper/2505.24813/integrity","json":"/paper/2505.24813/citation-record.json","paper":"/paper/2505.24813"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:20:16.731131Z","title":"Nagurney, M","venue":null,"work_id":"029f71d6-900b-4741-91a2-508814643559","year":2013},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.314822Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:ba95f227313a267d3217ac56257944e0fd9349619500d553ebcfa4f1bb83c9aa","observation_id":"6d56b99c-fcb2-4033-9197-6c3be6a9be0c","resolution":{"observed_at":"2026-08-07T12:20:16.792262Z","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":"2026-08-07T12:20:16.605430Z","title":"Nagurney, Labor and Supply Chain Networks , 1st ed","venue":null,"work_id":"9fdd400c-ffd6-4025-b62b-6452a1761d77","year":2023},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.400249Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:f24677f5c6d0c735f6d94da811da16c9b0c69416362e39e49bdeb4cbc9cb1be0","observation_id":"78aba2ca-68b4-42c1-81f3-3a78eb08e931","resolution":{"observed_at":"2026-08-07T12:20:16.660198Z","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":"2026-08-07T12:20:16.484544Z","title":"Nagurney, D","venue":null,"work_id":"65d2704c-69ef-42ba-932c-8d93bdcba8d5","year":2024},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.475089Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:2793a7c0ed5fe5d51ebb9bbcbc1bd62aad3a1000a7c740f930632b1198dd005a","observation_id":"a73d959d-7d70-459a-9d9a-4d02169807dd","resolution":{"observed_at":"2026-08-07T12:20:16.548182Z","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":"2026-08-07T12:20:16.354080Z","title":"Bartezzaghi, R","venue":null,"work_id":"8225a11a-b265-4219-a07b-aa2468a4bf7d","year":2016},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.560758Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:b0717a96c3a0cbaf7111f7eb6cdfc458c02ce55df3483a127f1faa6b1bcf557e","observation_id":"13d2ad14-a1bd-4d26-9a1c-b99395cd32fa","resolution":{"observed_at":"2026-08-07T12:20:16.409956Z","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":"2026-08-07T12:20:16.184849Z","title":"Katsaliaki, P","venue":null,"work_id":"974d3dc5-1abc-48cb-a483-2ae8b2199bed","year":2022},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.639652Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:2e4d6c2cd05e8a16c554b2c355b483bfed774fa62dc3f4aff6b97622ec997182","observation_id":"998b70ac-c5ec-42ef-ad94-549bcad7e88c","resolution":{"observed_at":"2026-08-07T12:20:16.252084Z","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":"2026-08-07T12:20:16.067516Z","title":null,"venue":null,"work_id":"eb6c0073-c357-4bfa-8121-2b48d49945a2","year":2004},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.728823Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:0d1b4bc7f8dc175f5f51c96469cd0a78ab0e11f88360a81643739319a49bae71","observation_id":"c0e31ee4-d834-4663-81b0-b0ea4c767bcf","resolution":{"observed_at":"2026-08-07T12:20:16.116160Z","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":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"cited_work":{"arxiv_id":"2505.24813","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.24813","snapshot_observed_at":"2026-08-07T12:20:13.005207Z","title":"Critical demand in a stochastic model of flows in supply networks","venue":"physics.soc-ph","work_id":"84188540-77d7-44a4-9fec-b114bcb450ba","year":2025},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.246533Z"},"links":{"cited_paper":"/paper/2505.24813","citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:fe09281ea28c01eeb5593b22ac07b7f4b896b8a4d136fd32701b8ca979dde6c9","observation_id":"c358ca02-d4ad-4651-8036-a20ef4868a94","resolution":{"observed_at":"2026-08-07T12:20:13.115265Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2026-08-07T12:20:15.920127Z","title":"Colon and M","venue":null,"work_id":"58e6131b-4850-4119-8b7f-db6d676eb2e9","year":2017},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.845440Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:044eb1fb71ce610fcf507a1f06feb7cdfdcb8cbcc334cd1cc38edeb8c0b39189","observation_id":"ccc8b013-e38b-4731-9815-886209ad99fa","resolution":{"observed_at":"2026-08-07T12:20:15.975719Z","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":"2026-08-07T12:20:15.784191Z","title":"Caraiani, A","venue":null,"work_id":"9bcf74c4-69ba-475b-b918-5f21d9da71b6","year":2024},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.916363Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:9488b051589c8ecf3a04ff34c1187da71efa72321744038bb14f5e99d1bdc666","observation_id":"b2ef8e8b-df53-4bcf-8ff7-6048de6d9063","resolution":{"observed_at":"2026-08-07T12:20:15.852888Z","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":"2026-08-07T12:20:15.675070Z","title":"Battiston, D","venue":null,"work_id":"ce76ae2a-cb2d-4d2c-8cb7-ef8774f15b74","year":2007},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:10.978636Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:d6956a59012a597c6c7244d33b8e6b3e8ed34a0a32a57c39cb96f6389b2e6a8b","observation_id":"ac949526-5005-435e-9446-0e65e0dc45ee","resolution":{"observed_at":"2026-08-07T12:20:15.722887Z","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":"2026-08-07T12:20:15.548929Z","title":null,"venue":null,"work_id":"54be23c5-8755-4af5-b69d-3f69c8153ae9","year":2013},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.114098Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:e720d31019c3c95358bd8888dee5c8e38f409b5909b5c4c894b342d618efb5ce","observation_id":"cc96037d-da4b-4b46-b735-14e78f04ab73","resolution":{"observed_at":"2026-08-07T12:20:15.600806Z","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":"2026-08-07T12:20:15.410610Z","title":"Ramanathan and R","venue":null,"work_id":"e2379739-10be-4e5d-863c-529395480b10","year":2020},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.239909Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:fa7e19787f1c9ebaedcd56878e63da7e82a5c3f613b3b2fb713fb0192027645f","observation_id":"3f12f777-cc22-4971-b99a-449a2c4c4d84","resolution":{"observed_at":"2026-08-07T12:20:15.464038Z","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":"2026-08-07T12:20:15.253374Z","title":"Sawik, Stochastic Programming in Supply Chain Risk Management (Springer Cham, 2024)","venue":null,"work_id":"f2022acc-bf79-46f6-ae0c-bbb183741853","year":2024},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.303202Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:8f3f38d9ab866cddb9b6ec3003dfa9e3d53fe2590ad3b8d747d912479ddd3c7c","observation_id":"7350e314-a781-4713-b500-de181327f1fa","resolution":{"observed_at":"2026-08-07T12:20:15.336452Z","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":"10.1038/s41567-024-02525-w","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:20:12.818294Z","title":"Moran, M","venue":null,"work_id":"2f97dcfa-d1de-40a8-8100-e93788a86ffe","year":2024},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.393469Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:3247de4b054241ee252b12a4fb998f176ccbf9795ec198aa7f900281b7c504f1","observation_id":"8a4c086a-b5bd-4c1e-b1bb-a18e50ef8dc6","resolution":{"observed_at":"2026-08-07T12:20:12.916532Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-07T12:20:15.062111Z","title":null,"venue":null,"work_id":"9ae06d7e-21b2-49b8-a16d-75f2c6038dea","year":2005},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.485108Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:ffda8ef7d61d4bc976a99e3e6c4912fbf0b648194a17b21a368098bd163b6835","observation_id":"f519a081-c22a-4c5d-88f2-77a948235525","resolution":{"observed_at":"2026-08-07T12:20:15.151076Z","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":"2026-08-07T12:20:14.907918Z","title":"Wiedmer and S","venue":null,"work_id":"0c08b74c-1208-472e-be80-844171c52629","year":2021},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.575995Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:301ec07da408106971fc17137260edc1c00c614a1f43a607e7ced14abec63e8c","observation_id":"1dcabdf2-58ce-4b02-8038-e80a128607b6","resolution":{"observed_at":"2026-08-07T12:20:15.005157Z","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":"2026-08-07T12:20:14.739295Z","title":null,"venue":null,"work_id":"5223409d-89bd-44f7-818c-034bb7cd6139","year":2018},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.671489Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:209244d255c3b39468316f2dcb78ebd632026c8ad1979dae7e6b691722c48fc6","observation_id":"1f88b488-4c96-4f27-8d4c-db80937a4fb2","resolution":{"observed_at":"2026-08-07T12:20:14.812111Z","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":"2026-08-07T12:20:14.562822Z","title":"Fleischmann, H","venue":null,"work_id":"1c857b0c-5897-485f-819f-23c8c1f53b06","year":2000},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.769514Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:90688bf17c1ae967d45edf2248fd09ed60d2b7eb0714d7afafb09ab8fc370ee5","observation_id":"f3d7cd16-caf5-4cdd-a52b-acb0ad904c25","resolution":{"observed_at":"2026-08-07T12:20:14.638369Z","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":"2026-08-07T12:20:14.425953Z","title":"Francas and S","venue":null,"work_id":"1cd2a614-00b2-49c8-af69-62f5a402d18d","year":2009},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.874293Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:a86a0b6ae0662703a2a132fd4037facd696cf4cea5ffee308bca316e25bc0139","observation_id":"b967609c-ab3f-4140-8ac0-352d72ce9537","resolution":{"observed_at":"2026-08-07T12:20:14.488694Z","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":"2026-08-07T12:20:14.256802Z","title":null,"venue":null,"work_id":"714ce276-15e5-4c73-bfe7-70867a7fb308","year":2015},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:11.952994Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:7e05cc66f1867d10071ae0686740e41a15e4dde412480655c7b3a0eb31432cdc","observation_id":"ca6cdc5b-5486-4669-836d-5917834df095","resolution":{"observed_at":"2026-08-07T12:20:14.344689Z","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":"2026-08-07T12:20:14.072291Z","title":null,"venue":null,"work_id":"df5605d8-e22f-4896-a119-dbd94e3e87e3","year":null},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.029627Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:feb8e11783f52d9e606f630200b79a94e9a048fd523f9c32d58ac14f7562ac3c","observation_id":"e8c2ef54-dfda-4aab-943e-35e0751d0ced","resolution":{"observed_at":"2026-08-07T12:20:14.156498Z","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":"2026-08-07T12:20:13.949897Z","title":null,"venue":null,"work_id":"d3b4cba3-c038-4e13-b7fb-87c9c36f91be","year":null},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.089946Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:14c76e48ab9ccf2727bf7502600e8878eb0d3230273642ac056cb7a848d2c046","observation_id":"0b09ba4e-fb27-416a-b142-b646bdc54d43","resolution":{"observed_at":"2026-08-07T12:20:14.024331Z","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":"2026-08-07T12:20:13.806070Z","title":"1 1 10 100 ˜χ s z0 = 2 z0 = 3 z0 = 4 z0 = 5 fit FIG","venue":null,"work_id":"687218db-e377-4055-90eb-a122a0d82c66","year":null},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.171801Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:3cf816fd0a95742adfa57686793b30219118b2e2d15ff0af7ffe76c8d8ee4e95","observation_id":"4d0bd12c-53e0-4aec-b17e-cdb3db9dbd8d","resolution":{"observed_at":"2026-08-07T12:20:13.875323Z","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":"2026-08-07T12:20:13.556897Z","title":null,"venue":null,"work_id":"c4751a3a-8937-48e5-9d56-6c90b9c24236","year":2005},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.270997Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:2b08533374b5db2eab13e797d3fbc3e8f53bba35bfaf9f89534e2d2ebccb2734","observation_id":"eeca29ef-ed47-4ab2-b03b-0b270c44cf9c","resolution":{"observed_at":"2026-08-07T12:20:13.682389Z","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":"2026-08-07T12:20:13.386708Z","title":"Wiedmer and S","venue":null,"work_id":"c46f2fd1-1c8e-4606-8533-ea387c2360cd","year":2021},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.382166Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:c22712fccb7a26c10e5616284e92352c24bbb8b9bc5e42fadfe8c88818b9b594","observation_id":"0053334f-ff49-4008-a5fd-edcbd2910fa0","resolution":{"observed_at":"2026-08-07T12:20:13.461365Z","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":"10.2139/ssrn.2412512","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:20:12.659134Z","title":null,"venue":null,"work_id":"d56ca144-c0da-4a43-8699-7a0ed6b72314","year":2014},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.463054Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:eaf35ccdbb054450d72bc3411cec32ee7c42832c935b2176d56de220d8003526","observation_id":"dfb5f85b-415f-477f-9cdd-47cc39e5d045","resolution":{"observed_at":"2026-08-07T12:20:12.718054Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-07T12:20:13.250345Z","title":null,"venue":null,"work_id":"428321d2-b580-4dec-ac55-09748879fe87","year":2018},"citing_paper":{"arxiv_id":"2505.24813","last_updated":"2025-05-30T17:17:10Z","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T12:20:12.537571Z"},"links":{"citing_paper":"/paper/2505.24813"},"observation_digest":"sha256:4bc6c2e432124ea1eb330243e75645d4b030a5d37343a3cff9fd7368168cd431","observation_id":"3b84159f-d8f1-4f91-81e0-78cbacc0e648","resolution":{"observed_at":"2026-08-07T12:20:13.345605Z","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":"2505.24813","last_updated":"2025-05-30T17:17:10Z","latest_version":1,"primary_category":"physics.soc-ph","snapshot_observed_at":"2026-08-07T12:10:39.509501Z","submitted_at":"2025-05-30T17:17:10Z","title":"Critical demand in a stochastic model of flows in supply networks"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":15},"total_outbound_references":27},"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 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2505.24813."}