{"as_of":"2026-08-12T23:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1332918346ba03608755d27c36255f2205197ac4a5c7a740c63db323e3bc033d","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T22:44:22.484815Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-09T17:22:10.671796Z","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":"2026-08-09T17:22:10.706733Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"cited_work":{"arxiv_id":"2412.03320","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.03320","snapshot_observed_at":"2026-08-09T17:22:10.706733Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","venue":"math.PR","work_id":"5fbb45ed-5515-4c7e-be72-d16d5c003977","year":2024},"citing_paper":{"arxiv_id":"2502.00942","last_updated":"2025-02-02T22:26:41Z","snapshot_observed_at":"2026-08-09T17:07:26.933019Z","submitted_at":"2025-02-02T22:26:41Z","title":"Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T17:22:10.671796Z"},"links":{"cited_paper":"/paper/2412.03320","citing_paper":"/paper/2502.00942"},"observation_digest":"sha256:c9d1f88f997351b1093cf0ab8df1a09ef6d90e8606c05f80f463d2d9988d1f27","observation_id":"ab4d7020-080b-4a82-819f-fec98c1cdcb7","resolution":{"observed_at":"2026-08-09T17:22:10.714132Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.03320/citation-record","integrity":"/paper/2412.03320/integrity","json":"/paper/2412.03320/citation-record.json","paper":"/paper/2412.03320"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:25.753906Z","title":"Ambrosio and P","venue":null,"work_id":"45c69887-91bc-4f5b-94e1-fdca52e4c8fa","year":2004},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.435059Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:038b2716c0f5bbba6cf5d82efef68463b8750d677b2c3cb1e2035d0033040a10","observation_id":"0d701b5a-4006-4ed8-83f6-c3f5567dd913","resolution":{"observed_at":"2026-08-11T22:44:25.782516Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:25.627068Z","title":"Auﬃnger, M","venue":null,"work_id":"ac855409-66e9-4c14-b88a-d45e809878fc","year":2017},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.484851Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:6b434837011c694bf2a7eec8361acc1aaef326b3fba129a30511bda1f9819054","observation_id":"e3d81c32-1bb1-4ae0-ae69-158ed096e305","resolution":{"observed_at":"2026-08-11T22:44:25.654753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpa.22010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:20.376878Z","title":"U pper tail large deviations in ﬁrst passage percolation","venue":"Communications on Pure and Applied Mathematics","work_id":"becddafb-705f-4f53-b39f-9422cc2df991","year":2021},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.535304Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:0aff5b21e5dd46d5027d475d5d8dfa7b8e6b422c8df712a5e55e6971f9b1aa4c","observation_id":"2b7cb0a4-2485-492b-ba24-90263810c588","resolution":{"observed_at":"2026-08-11T22:44:23.764739Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:21.584741Z","title":"Concentration Inequali- ties: A Nonasymptotic Theory of Independence","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.584741Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:c87d2dc311b201567100c0069a03854739e22f4608520a6770a6234e5fe26251","observation_id":"752f6a08-a6f1-45cb-9bc2-8734f6dd3143","resolution":{"observed_at":"2026-08-11T22:44:21.584741Z","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":"2026-08-11T22:44:25.571704Z","title":"Weak shape theorem in ﬁrst passage percolation with inﬁnite passage times","venue":null,"work_id":"c92119cf-13a7-46a4-81ff-648d4296a3f5","year":null},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.624833Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:d0a5aa673828cd5c43903ffd0a02123b2ccad33a6257760c7f32b12c7d5305e5","observation_id":"cbc628df-dd0e-4d43-a6de-c8a9cf64b7a4","resolution":{"observed_at":"2026-08-11T22:44:25.597667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"aoap/1069786","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:25.024823Z","title":"Large deviations in ﬁrst-pa ssage percolation","venue":null,"work_id":"1f8a7667-8fb8-4cce-bab7-6c68844e8d79","year":2003},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.714853Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:b2d094e68024f2bda8dcdbeb0d3a39f6d6d89444a0c756b8d5a0048d29491a6c","observation_id":"003d65aa-7716-47b3-b4e6-144fa23cfdb5","resolution":{"observed_at":"2026-08-11T22:44:25.114742Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/22-aap1861","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:23.385130Z","title":"A variational formula for large deviations in ﬁrst-passage percolation under tail estimates","venue":null,"work_id":"622b79ee-138e-4860-9af6-95b3e19a1e5d","year":2023},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.754750Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:f6c4cc3b17ecaf4ab799a3e479f8129e3cdbc0ef60714054862406f563b837af","observation_id":"5c930693-5785-4536-b4a2-e001332c1016","resolution":{"observed_at":"2026-08-11T22:44:23.444745Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:21.814757Z","title":"Theodore Cox and Richard Durrett","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.814757Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:0f0b706505b108a7be3d044dba25bd6a78ce2dc4fd5b616fee2b2dd9c621cac0","observation_id":"11ed9506-4b90-40f1-8180-47a996836c4b","resolution":{"observed_at":"2026-08-11T22:44:21.814757Z","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":"10.1214/08-aap535","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:23.234841Z","title":"Cranston, D","venue":null,"work_id":"966c0545-2669-492d-a75f-5e91aabfe52d","year":2009},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.855900Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:046edda85571a441c713c650592c1150746392502440782f71d572a3889f34cf","observation_id":"03036b50-34ec-4d2a-82da-874e0f01af35","resolution":{"observed_at":"2026-08-11T22:44:23.264843Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.02605","last_updated":"2023-04-11T09:22:16Z","snapshot_observed_at":"2026-07-06T14:14:35.215831Z","submitted_at":"2022-11-04T17:19:51Z","title":"On the upper tail large deviation rate function for chemical distance in supercritical percolation","version":2},"cited_work":{"arxiv_id":"2211.02605","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.02605","snapshot_observed_at":"2026-08-11T22:44:24.507925Z","title":"On the upper tail large deviation rate function for chemical distance in supercritical percolation","venue":"math.PR","work_id":"9d6fc523-c9e1-4adc-8ca3-70fbf8ad7807","year":2022},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.904750Z"},"links":{"cited_paper":"/paper/2211.02605","citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:9fa08f0ca2b74aac71f77666a4ac241fe3dcb0bb1e6e0f911dcbabfd264060b8","observation_id":"2b5a0beb-e549-4bc3-bd46-042a433cb748","resolution":{"observed_at":"2026-08-11T22:44:24.554751Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:21.944751Z","title":"Dembo and O","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.944751Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:f2f883213e783d3a98aa8f8eafe8e481fe542112a501cd471de6ac7cd678d1ba","observation_id":"364f868d-2bb0-4f53-b04e-1c4de165524c","resolution":{"observed_at":"2026-08-11T22:44:21.944751Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:21.994760Z","title":"Greedy l attice animals: negative values and unconstrained maxima","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.994760Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:99abe5a615c6fbde220870ddabcdb31408396521630908348e6b926b9e9b45ad","observation_id":"e7bd1155-7215-4da1-82d9-089a1aafc037","resolution":{"observed_at":"2026-08-11T22:44:21.994760Z","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":"10.1214/009117906000000881","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:23.065114Z","title":"Large deviations fo r the chemical distance in supercritical Bernoulli percolation","venue":null,"work_id":"c0791b2a-1a99-4683-8c04-b50bbe34e931","year":2007},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.044751Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:40bd93d1925946a500b14a29868a03a11962f22f9b5e7a62b836abe72e2d3a1e","observation_id":"e4cec4d9-90ae-4ee6-b79c-063d9b5f92eb","resolution":{"observed_at":"2026-08-11T22:44:23.105477Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/17-ejp90","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:22.914752Z","title":"Procaccia, and Marie Théret","venue":null,"work_id":"e31026e4-2cc0-4206-abae-17c7a638c3f7","year":2017},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.094752Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:721d3cbe598fdeea1bb1b6fda19e53a5eb1c25dc6bcb07ee9e01a6e785730079","observation_id":"a92d91d6-eb74-4b42-bd2b-dae7898c6e4d","resolution":{"observed_at":"2026-08-11T22:44:22.964748Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-3-642-99884-3_7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:22.737933Z","title":null,"venue":null,"work_id":"f77aa4ef-7c6c-46b3-b50a-2e34c3f0a58d","year":1965},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.144915Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:0fcdd92d951dec40f8b73e6b78585a41d060f67dd1ad92b65fb921e43cce624c","observation_id":"77ff9276-4b83-4bd3-958c-d46cf69b7d24","resolution":{"observed_at":"2026-08-11T22:44:22.784751Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:25.480780Z","title":"Lebesgue integration on Euclidean space","venue":null,"work_id":"b9d4b8bd-43bb-4d12-86a3-68e4707fefd0","year":2001},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.194754Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:8af7cd3c68394f52f3e7ac96ea5cbf365dcf27662a42556df053e60337d430a2","observation_id":"faa6ec23-59d1-48b1-8cab-dea35a6945e7","resolution":{"observed_at":"2026-08-11T22:44:25.490451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:25.454568Z","title":"Ecole d’Ete de Probabilites de Saint Flour XIV, 1984","venue":null,"work_id":"50d82f2e-73bf-4bdc-a180-03c7f787b5a6","year":1984},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.244839Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:01b412b14ffcb6f80ceb3c2dd583cddf7b18f335a15ebf900358803bbf827b7f","observation_id":"cc13f119-00e2-442f-98ff-0ceb814cea25","resolution":{"observed_at":"2026-08-11T22:44:25.461640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:25.375491Z","title":"Krantz and H.R","venue":null,"work_id":"d6c3ca44-ca8b-433e-ae8a-2118d3b74a53","year":2008},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.274753Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:88f164d0d39d5d326efd6c7b2d65327394f2bcae235e1f14bd4b1f40cab813ae","observation_id":"9b7dd3cc-db63-434a-bc58-6a4bef1182d4","resolution":{"observed_at":"2026-08-11T22:44:25.414752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:25.319324Z","title":"Jensen’s inequality for a convex vec tor-valued function on an inﬁnite- dimensional space","venue":null,"work_id":"abc76dca-ebb3-4464-9121-638c0bd55757","year":1974},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.334754Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:4ad43cf2c90a7ff81a3975806dd8a9c66297da06818e9288329dd89fe361a00f","observation_id":"950945f0-7847-484d-b10e-4b9ce0fd8793","resolution":{"observed_at":"2026-08-11T22:44:25.330024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-11T22:44:22.384888Z","title":"Rosenthal","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.384888Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:c703f2af33de24d52126a4b4abe14fb358837e4d14552308d5ba894023942a81","observation_id":"8db77814-26c5-402d-85da-932df6265313","resolution":{"observed_at":"2026-08-11T22:44:22.384888Z","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":"2026-08-11T22:44:25.277553Z","title":null,"venue":null,"work_id":"04c6861d-3443-478e-af13-5bff437e6193","year":1987},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.434748Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:46a9c0ba5ac7ba26a36483b8abac859e6038041acfe5f6ea40fafd256d130573","observation_id":"f2f62661-224b-4f84-ac15-5fe133b3b501","resolution":{"observed_at":"2026-08-11T22:44:25.296561Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09589","last_updated":"2024-04-15T09:00:10Z","snapshot_observed_at":"2026-07-06T18:00:12.130869Z","submitted_at":"2024-04-15T09:00:10Z","title":"Large deviation principle at speed $n^d$ for the random metric in first-passage percolation","version":1},"cited_work":{"arxiv_id":"2404.09589","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.09589","snapshot_observed_at":"2026-08-11T22:44:23.974744Z","title":"Large deviation principle at speed $n^d$ for the random metric in first-passage percolation","venue":"math.PR","work_id":"913e82fc-b6aa-4b61-9dcd-05f78f198dd3","year":2024},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:22.484815Z"},"links":{"cited_paper":"/paper/2404.09589","citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:94e73cae765a95dab9a97ca5359f15099d4ef5d621aaa52bbf2b6bfd11ddd7f7","observation_id":"896461ef-7afa-4417-be37-eda0d12e9dda","resolution":{"observed_at":"2026-08-11T22:44:24.044741Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/15-aihp686","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T22:44:23.559502Z","title":null,"venue":null,"work_id":"4a82ee99-d755-428b-9614-625156693216","year":null},"citing_paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-11T22:44:21.664751Z"},"links":{"citing_paper":"/paper/2412.03320"},"observation_digest":"sha256:f6a0a1b87de08da119e6d7a0c4478fc8ca4f054e6f179a6b9dfbe41185432d8b","observation_id":"4cabc5ab-970d-4e81-ac35-babb00f060c1","resolution":{"observed_at":"2026-08-11T22:44:23.594832Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.03320","last_updated":"2024-12-04T13:54:09Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T22:29:35.421281Z","submitted_at":"2024-12-04T13:54:09Z","title":"Large deviation principle at speed $n$ for the random metric in first-passage percolation"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":10,"verified_fuzzy":7},"total_outbound_references":23},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2412.03320."}