{"as_of":"2026-08-13T16:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:116bcb776706578e599150eb756a949ec4da977f645c98df54245dc9fe0e7490","coverage":[{"denominator":74,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":74,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T18:49:58.395952Z","state":"measured"},{"denominator":74,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":74,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2603.06478/citation-record","integrity":"/paper/2603.06478/integrity","json":"/paper/2603.06478/citation-record.json","paper":"/paper/2603.06478"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T18:49:54.089852Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.089852Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:38a21f477cfb6b1d4b080f0213c10e7ce66d87a6720f06a014ef04b11312989d","observation_id":"75d1d39b-06bf-410d-9c0a-4f66d24828ae","resolution":{"observed_at":"2026-08-02T18:49:54.089852Z","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":"2026-08-02T18:49:54.097262Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.097262Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:a00ef2db4799d2f92b6c069448bf908090bb504272462343285a5b22f01e4b6c","observation_id":"4027a57d-99b1-4c09-9a7b-e8350bfec5c0","resolution":{"observed_at":"2026-08-02T18:49:54.097262Z","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":"2026-08-02T18:49:54.105890Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.105890Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:80c2e1af853ef6a25d0f6e8f833c33eaaf4bfaeeb97c2116526c037ece78908e","observation_id":"a4959347-da1a-495d-91bc-4205f962d193","resolution":{"observed_at":"2026-08-02T18:49:54.105890Z","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":"2026-08-02T18:49:54.112189Z","title":"Arnold and M","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.112189Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:a65bfe064e9ca6d6b89010ca334c61f393a461969735957169b02e23a7927b95","observation_id":"4eec6923-75fa-41c6-b4e2-fd4e978832cc","resolution":{"observed_at":"2026-08-02T18:49:54.112189Z","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":"2026-08-02T18:49:54.117629Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.117629Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:d87a31b7b46bec40458d7d13cf49cff89879690e615a7e1d96084c0ac9a61da2","observation_id":"0504b025-346e-4584-9f12-34cd17b5858c","resolution":{"observed_at":"2026-08-02T18:49:54.117629Z","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":"2026-08-02T18:49:54.123945Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.123945Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:dfaf18d76577dc77497626fc9e8bbb716e2ff93e56611565501d12e5e7ac9f20","observation_id":"85ec2803-76ab-4846-b9c4-8bd7b8297839","resolution":{"observed_at":"2026-08-02T18:49:54.123945Z","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":"2026-08-02T18:49:54.130295Z","title":"Barbour and M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.130295Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:9d30f116585aa322a5b9a993cc100d3484e4c2f830f767ec14c84ebe64aada8b","observation_id":"5d081838-b016-4c6c-b03d-1eef52621a47","resolution":{"observed_at":"2026-08-02T18:49:54.130295Z","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":"2026-08-02T18:49:54.136152Z","title":"Barbour and M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.136152Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:b247dec3e047311e1966d301eda3701a37f1b100f16bd245b29d4073c0819156","observation_id":"41c6f217-7a24-4857-ae0f-05aacc345af2","resolution":{"observed_at":"2026-08-02T18:49:54.136152Z","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":"2026-08-02T18:49:54.142292Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.142292Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:694a95eddc9984a86c109aa875061edd4a5fe256a8d61755a8334bb0be0999d5","observation_id":"33171af6-dfee-409f-bc99-a155cad1f4c6","resolution":{"observed_at":"2026-08-02T18:49:54.142292Z","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":"2026-08-02T18:49:54.148460Z","title":"Berestycki, É","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.148460Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:8411eb395ebe885fb2010903ab646d0acda07e9add28d73e7b059490eb98d7d1","observation_id":"8a4f582e-fcb1-4a35-beff-a1618f9ac71a","resolution":{"observed_at":"2026-08-02T18:49:54.148460Z","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":"2026-08-02T18:49:54.154732Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.154732Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:0ac85c8dd4f1a426479b1280fa2da11ff2b4cd5007cf27a45c22e06fd36a3d96","observation_id":"82fd068a-505b-45d3-9e32-f3fc54f30b94","resolution":{"observed_at":"2026-08-02T18:49:54.154732Z","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":"2026-08-02T18:49:54.160991Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.160991Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:bc5aaf55db8dfe4d5afd45795530e8e87c4bd4c5f18f16a51795be97cc7cb24e","observation_id":"32ac075b-5bb0-4657-aa90-955bcdda5953","resolution":{"observed_at":"2026-08-02T18:49:54.160991Z","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":"2026-08-02T18:49:54.166635Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.166635Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:ab104b530bc30c0758613e48cf83c65e7beb43658862db1102490310e6e7b7fe","observation_id":"021345a4-84b7-4882-ab7d-f30249efd2ab","resolution":{"observed_at":"2026-08-02T18:49:54.166635Z","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":"2026-08-02T18:49:54.173484Z","title":null,"venue":null,"work_id":null,"year":2040},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.173484Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:7cee00618d7104ca5652a6543a33d49182553c766a50ed775adf2b71673dfb90","observation_id":"8f3edafe-bef3-44ff-ab1a-0fa2980eb9ba","resolution":{"observed_at":"2026-08-02T18:49:54.173484Z","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":"2026-08-02T18:49:54.180135Z","title":"Boldrighini, A","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.180135Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:fc0b685780897f71942bc0b04be2f6f9a60a543cb98fe04f900f9553d08c1518","observation_id":"a2e9da00-2065-46ea-b3c3-f22b73c4f9c1","resolution":{"observed_at":"2026-08-02T18:49:54.180135Z","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":"2026-08-02T18:49:54.185784Z","title":"Bourbaki.Elements of Mathematics: Integration I","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.185784Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:0d4161cb90f679613d54ecfe4e5958ee462fe796d5ff8575006d842b52927dc7","observation_id":"6f148bc8-6308-4ab4-a1eb-62becff8e7bd","resolution":{"observed_at":"2026-08-02T18:49:54.185784Z","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":"2026-08-02T18:49:54.193162Z","title":"Bramson.Convergence of solutions of the Kolmogorov equation to travelling waves, volume 285 ofMemoirs of the AMS","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.193162Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:1b9c111be6c3b1220d019b2dddccbcfef9f03c2f1d6c538591d17b03a7c175bc","observation_id":"baef146c-1c56-42c1-9fa9-b43c32501f1c","resolution":{"observed_at":"2026-08-02T18:49:54.193162Z","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":"2026-08-02T18:49:54.198373Z","title":"Brezis.Functional analysis, Sobolev spaces and partial differential equations, volume 2","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.198373Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:f229321caec152fc22ebe64818c1260723ce1bad95000e2c8d596a76960086c2","observation_id":"2d2c4d6b-1f7d-45da-8818-5ed63742d6e4","resolution":{"observed_at":"2026-08-02T18:49:54.198373Z","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":"2026-08-02T18:49:54.204492Z","title":"Brézis and M","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.204492Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:30dccb17111367e8c5ccacbaf74993b7c8b782e5386f739f9570264a74353916","observation_id":"f028a5c6-382c-4b97-8227-386d0c2c7a9f","resolution":{"observed_at":"2026-08-02T18:49:54.204492Z","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":"2026-08-02T18:49:54.213197Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.213197Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:9d2ca6bfc8a76176d6fc8c83157b5d2f7acd3ec9824a6529704cada6c8b2919f","observation_id":"93d73fe8-b9f8-48f5-8d7f-5d515d1987be","resolution":{"observed_at":"2026-08-02T18:49:54.213197Z","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":"2026-08-02T18:49:54.224697Z","title":"De Masi and E","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.224697Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:3019ebf1b70b8c4899fedda953ef7bf7b68b7340a9600edfd7ecce3294f92b3b","observation_id":"9283f62d-3629-4594-867a-1754d2dcf5a1","resolution":{"observed_at":"2026-08-02T18:49:54.224697Z","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":"2026-08-02T18:49:54.237908Z","title":"Díaz and F","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.237908Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:2bef5afab4cd48013fe5baaec245f855471e96e225a1c296a88912989bf71101","observation_id":"9b919fae-402e-4701-96c6-a50dacfc7cc3","resolution":{"observed_at":"2026-08-02T18:49:54.237908Z","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":"2026-08-02T18:49:54.250488Z","title":"Diestel.Sequences and series in Banach spaces, volume 92","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.250488Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:231e513a3f480262c87781bb3116017048961f1a8892dd453b1df1e4fca10990","observation_id":"acbedb66-e559-40e4-90a5-b83b35281e0d","resolution":{"observed_at":"2026-08-02T18:49:54.250488Z","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":"2026-08-02T18:49:54.265361Z","title":"Durrett and W.-T","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.265361Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:60e3328b7af66f8a2948d51f1009cd89bc9039d96a5896a8d69dd81bbddc1a64","observation_id":"7be04f39-2c8a-4d6a-9d6b-ad5196cf42b7","resolution":{"observed_at":"2026-08-02T18:49:54.265361Z","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":"2026-08-02T18:49:54.276949Z","title":"Particlesystemsandreaction-diffusionequations.The Annals of Probability, 22(1):289–333, 1994","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.276949Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:6c706272ffd7b1223f0614ad3b7c340e94f1b14a912b0baeeb8a03844b98f0d1","observation_id":"27be1dad-b153-441b-ac29-98e08772fe6d","resolution":{"observed_at":"2026-08-02T18:49:54.276949Z","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":"2026-08-02T18:49:54.289552Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.289552Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:44924c90541c8c9496b62aed6c77e6c77fc5bcb3788016983e62d500bf42471a","observation_id":"a889b6e6-9093-4d17-868f-0cf6381f7880","resolution":{"observed_at":"2026-08-02T18:49:54.289552Z","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":"2026-08-02T18:49:54.334443Z","title":"Etheridge, P","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.334443Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:29513872dde71f2caac539c31a98894e06168a9219252e62b61d81daeb805c63","observation_id":"1ac857c0-9913-47f4-86ee-aeab6d68d921","resolution":{"observed_at":"2026-08-02T18:49:54.334443Z","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":"2026-08-02T18:49:54.489743Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.489743Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:6be0b1e32439373d57821aaec73670a8311772ecfad1ca23d568c08d7d69a77a","observation_id":"0eb67b38-fcc7-4dd8-b300-058b7aa24cbe","resolution":{"observed_at":"2026-08-02T18:49:54.489743Z","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":"2026-08-02T18:49:54.567438Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.567438Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e55c9c7f172639082822bcf8ab2fa495562d45962eedf7f757c79fa8a249661d","observation_id":"055bb099-fb22-4d86-83fc-f6238dd0040c","resolution":{"observed_at":"2026-08-02T18:49:54.567438Z","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":"2026-08-02T18:49:54.752767Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.752767Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e60c41f238de676d3ce5c2636bbd2da8e6a9804e0ead59b33b59c1e39fdbba9e","observation_id":"ee0f30f2-40a1-40cd-9a53-01caae1776dd","resolution":{"observed_at":"2026-08-02T18:49:54.752767Z","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":"2026-08-02T18:49:54.824515Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.824515Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:68c343b846d5fcc64585f062c706f738267d22ffd501471f6965a674d30e5d7f","observation_id":"f99a2050-e66e-4125-8a34-9087262769df","resolution":{"observed_at":"2026-08-02T18:49:54.824515Z","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":"2026-08-02T18:49:54.897360Z","title":"Flandoli and R","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.897360Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:cbcea9c497b8a1f3fa6a3b0f48ab1d69fb4d75863a76ae4ccf0895ed6301b68b","observation_id":"2558f5db-a8b0-436f-b013-d7d623cded62","resolution":{"observed_at":"2026-08-02T18:49:54.897360Z","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":"2026-08-02T18:49:55.005515Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.005515Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:bf3b7f720fb09877a1779c7c304bb7a79900b1845f92bb25b79de8fde180bd3c","observation_id":"f917c776-c58d-4885-9c4a-cd5d9820591a","resolution":{"observed_at":"2026-08-02T18:49:55.005515Z","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":"2026-08-02T18:49:55.079002Z","title":"Foutel-Rodier and A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.079002Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:31fece6ca8f9062a2d3fadad100e1837ded0016c41bebdd542bc16de17633d95","observation_id":"c83e03f7-9eb6-42e2-b765-0ccfc915db2c","resolution":{"observed_at":"2026-08-02T18:49:55.079002Z","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":"2026-08-02T18:49:55.189136Z","title":"Garnier, T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.189136Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:d954236394b3105f4dab04c2feffb77337f709d78446b61dd1386dd6caae22d3","observation_id":"36f0dc45-12ab-4fdc-8227-513729ec5a47","resolution":{"observed_at":"2026-08-02T18:49:55.189136Z","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":"2026-08-02T18:49:55.299238Z","title":"González Casanova, C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.299238Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:eee4e7703ab9fac7b33007cf6cfe544907a5c6b95d47778545fce6f7430065b8","observation_id":"8399c57f-98fd-45c4-a6c4-5cd4179a2cd7","resolution":{"observed_at":"2026-08-02T18:49:55.299238Z","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":"2026-08-02T18:49:55.367240Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.367240Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e73f64e630b086468a454f4e45656d1db7e3cd2a8f488aa03b321b8008d71923","observation_id":"37122573-40a6-4941-ac50-defd4a768ca6","resolution":{"observed_at":"2026-08-02T18:49:55.367240Z","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":"2026-08-02T18:49:55.502141Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.502141Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:3b8876dd86df663a23e3e8033d3c6750cda523fcc414be0852028b7ec60ee4b0","observation_id":"bd4f0aff-b9d8-453f-a6b2-40d3174bdf9c","resolution":{"observed_at":"2026-08-02T18:49:55.502141Z","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":"2026-08-02T18:49:55.569966Z","title":"Hallatschek and D","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.569966Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:36db00c7ee8e332b1039026d3e11c07e4022a38b96af24d9bb8b103c90ad4807","observation_id":"6da66eab-014c-4add-8ad0-438eca6325c4","resolution":{"observed_at":"2026-08-02T18:49:55.569966Z","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":"2026-08-02T18:49:55.670918Z","title":"Hammond and F","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.670918Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:5346292f203f17b144277fe827d6ab04ba894963c0f0d684bab2a467ef50702c","observation_id":"466ed861-b3d8-4435-b4b0-028734dce8c9","resolution":{"observed_at":"2026-08-02T18:49:55.670918Z","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":"2026-08-02T18:49:55.771288Z","title":"Hammond and F","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.771288Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:003e55fe46de57db4d36a2e06c26063a0908139e19c4aa926c307722065d65aa","observation_id":"6599e78c-366b-4d09-aa8b-a7e6d339fbf0","resolution":{"observed_at":"2026-08-02T18:49:55.771288Z","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":"2026-08-02T18:49:55.846221Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.846221Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:86c84df3d1ab0acbad65dca00460830c3d2f55a1a5f49bd439daf5e9598bf12c","observation_id":"3f615c5d-cb7a-4162-ad54-dfe1bf70eccd","resolution":{"observed_at":"2026-08-02T18:49:55.846221Z","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":"2026-08-02T18:49:55.898255Z","title":"Hytönen, J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:55.898255Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:c4b846be4adc6a02e558d5f61c2b69476a4b6dce4c43cc801ac5a64e387b6943","observation_id":"5ba4c6e7-cfee-44eb-a570-3194d2002d37","resolution":{"observed_at":"2026-08-02T18:49:55.898255Z","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":"2026-08-02T18:49:56.003726Z","title":"Jakubowski","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.003726Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:a40df7c1205d07cd769b4d2b54055e43f2319bdcf53cac2a0cfdb1a8785d0a8c","observation_id":"81bdf387-9971-45be-90ee-9204e61b84a6","resolution":{"observed_at":"2026-08-02T18:49:56.003726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.03418","last_updated":"2018-10-08T13:10:18Z","snapshot_observed_at":"2026-08-12T22:47:40.109389Z","submitted_at":"2018-10-08T13:10:18Z","title":"Non-equilibrium fluctuations for a reaction-diffusion model via relative entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.03418","snapshot_observed_at":"2026-08-02T18:49:56.070022Z","title":"Jara and O","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.070022Z"},"links":{"cited_paper":"/paper/1810.03418","citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:f7bc36956a044fab7b7ceddef97517cacdcdd1e1b8c682e34d953590cf34a120","observation_id":"b47c4105-c283-461d-aa82-0fd4b4079366","resolution":{"observed_at":"2026-08-02T18:49:56.070022Z","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":"2026-08-02T18:49:56.137001Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.137001Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:56c3d23e7a57814087a2915e43056d922eb3c273ec65051387bed976b1d074b6","observation_id":"d45b4959-5c22-48b0-b651-fbfa59438db8","resolution":{"observed_at":"2026-08-02T18:49:56.137001Z","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":"2026-08-02T18:49:56.226062Z","title":"Kallenberg.Random measures, theory and applications, volume 1","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.226062Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:4bc68cd21f70b7a85d9dcad899ea8fead35397eb5a571a6bc5bcea9650e63a76","observation_id":"898f7508-709d-44bb-9ea7-23267c5e4bc1","resolution":{"observed_at":"2026-08-02T18:49:56.226062Z","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":"2026-08-02T18:49:56.283599Z","title":"Kipnis and C","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.283599Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:c07ae546343f0b99629f0d08bf1e20b795e1304384748f7aee7202fbd1d5d827","observation_id":"56bc68c0-9e14-42cb-b11b-c4c515484c29","resolution":{"observed_at":"2026-08-02T18:49:56.283599Z","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":"2026-08-02T18:49:56.373425Z","title":"Kolokoltsov.Differential equations on measures and functional spaces","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.373425Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:1502896b65e55ce024a74b1684e87511f070f72ac154e31bc240b15d0b063d3e","observation_id":"a4214199-c8e0-40f5-9100-16724a2d26ed","resolution":{"observed_at":"2026-08-02T18:49:56.373425Z","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":"2026-08-02T18:49:56.507674Z","title":"Kotelenez","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.507674Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:2c4a6bb95d00e5f1fe69a4f683df0f9307504416b7ad50eee8719c26dd8fcbea","observation_id":"c9749bd6-a20f-4826-b4d0-6c546d190d50","resolution":{"observed_at":"2026-08-02T18:49:56.507674Z","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":"2026-08-02T18:49:56.604056Z","title":"Kotelenez","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.604056Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:4f0e98bd35c3ffbeb469e02f46ab110880c6bab5dd2d2006218601865c0fa0df","observation_id":"580b5212-1fde-47a6-9dfd-6f4db124c838","resolution":{"observed_at":"2026-08-02T18:49:56.604056Z","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":"2026-08-02T18:49:56.721819Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.721819Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e10de72b4c84856aa6acfe52a10b2b6271a8f6239f30a3cb99c64205fa33cc23","observation_id":"09479d66-7713-451a-b76f-b7d02f3903c9","resolution":{"observed_at":"2026-08-02T18:49:56.721819Z","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":"2026-08-02T18:49:56.782342Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.782342Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:58816951197a5eb304c3885f2b9bfdeb9eba2e17fea1722888194658056a754b","observation_id":"97f6eedc-7023-40a2-9ad0-3273e04db17e","resolution":{"observed_at":"2026-08-02T18:49:56.782342Z","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":"2026-08-02T18:49:56.851771Z","title":"Lang and N","venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.851771Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:b130df78e8079122b15448b20a794107b5cec08d0ae5140c80d0bfaefcbf3d8f","observation_id":"76a97f1b-a101-4849-9f05-67759a605959","resolution":{"observed_at":"2026-08-02T18:49:56.851771Z","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":"2026-08-02T18:49:56.936482Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:56.936482Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:09a71307dc037ab1dd1490f8f91cef53fc1db483da22d46f72bfc19bf54c4665","observation_id":"1a401aa2-a92e-4053-8ada-339575a71c88","resolution":{"observed_at":"2026-08-02T18:49:56.936482Z","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":"2026-08-02T18:49:57.024466Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.024466Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:6840bfbf25c99079e4af68db77bcf4c513453166572957b6e2f2a8f7ddc92d38","observation_id":"f81f599b-ca9f-4780-ba7c-107fe61a7019","resolution":{"observed_at":"2026-08-02T18:49:57.024466Z","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":"2026-08-02T18:49:57.123025Z","title":"Mariani, E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.123025Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e447372d8e091be46270292522066baba307861e1841a9a53e122316de4e863f","observation_id":"5f13f27f-a1c5-4a4b-b99d-7d8b9b5856b6","resolution":{"observed_at":"2026-08-02T18:49:57.123025Z","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":"2026-08-02T18:49:57.214424Z","title":"Mörters and Y","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.214424Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:aa52787226f598fd4d5b0ae24d61d0663f8e2892131d28db01d5e642f3ea3f11","observation_id":"bcd72fcf-f16f-41a0-b4fb-303944e8bfb7","resolution":{"observed_at":"2026-08-02T18:49:57.214424Z","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":"2026-08-02T18:49:57.299699Z","title":"Mourragui","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.299699Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:26a533aba1f28029d420337cbcf4d65b2984628927f31559e3a2ecf90ffc8496","observation_id":"e6054e63-b7c3-4f4e-906b-d784961342fb","resolution":{"observed_at":"2026-08-02T18:49:57.299699Z","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":"2026-08-02T18:49:57.391937Z","title":"Mueller and R","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.391937Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e5efca92516e65d6ae80185913ce4285ae28e286d57c1642d370e312b753d854","observation_id":"7b1541e8-751c-4ad4-9dd5-b94ca0f4959c","resolution":{"observed_at":"2026-08-02T18:49:57.391937Z","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":"2026-08-02T18:49:57.455546Z","title":null,"venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.455546Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:edc4c3e5883fa4a6a6fa8ef963fce6a67adbdf3654df1500857caaa5246bad18","observation_id":"5f097608-cd2a-40ae-ac64-25dad8cf6564","resolution":{"observed_at":"2026-08-02T18:49:57.455546Z","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":"2026-08-02T18:49:57.548815Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.548815Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:e9c7af2412b02e3ec769d081d6d289418cd3a8507e8163bdd5bace3aaf7cc828","observation_id":"334fdd7d-a25c-417c-9412-3ea7410dada8","resolution":{"observed_at":"2026-08-02T18:49:57.548815Z","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":"2026-08-02T18:49:57.642601Z","title":"Pazy.Semigroups of linear operators and applications to partial differential equations, volume 44","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.642601Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:86857762fa1683af64f6b58fae16930d9893e96d304787e3efeee7c93f331daa","observation_id":"6f7d0cf2-6f20-442b-9628-323373fd66f9","resolution":{"observed_at":"2026-08-02T18:49:57.642601Z","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":"2026-08-02T18:49:57.737995Z","title":"Penington","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.737995Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:1af59a09e680cea10b526442f6a2204fdb92fd3aa7c8eeae55fea26aec190bb4","observation_id":"58038c49-8c26-43ce-a80b-d71db444def0","resolution":{"observed_at":"2026-08-02T18:49:57.737995Z","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":"2026-08-02T18:49:57.826515Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.826515Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:12181e925e6e5dbb14c9840c15122bdf15e239b23d85be44cda2949c76b2876b","observation_id":"8e37d9f3-8910-4dec-bd89-ef325f45a781","resolution":{"observed_at":"2026-08-02T18:49:57.826515Z","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":"2026-08-02T18:49:57.908925Z","title":"Pfaffelhuber, P","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.908925Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:5a0b4826024f839809a3acf38aa60543cfa1b2c7640907713414661119517faa","observation_id":"967fa797-3ffb-47a5-a319-0a94a6cb4ece","resolution":{"observed_at":"2026-08-02T18:49:57.908925Z","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":"2026-08-02T18:49:57.975370Z","title":"Prüss and G","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:57.975370Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:0676f4a19c494769547ae4c04eef1eac47b287c46a7271e6d8ce109a6174eafc","observation_id":"57db0230-c5b0-459a-96c7-0fb11011b7af","resolution":{"observed_at":"2026-08-02T18:49:57.975370Z","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":"2026-08-02T18:49:58.036386Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.036386Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:a2a37d8ff4e9c6de8f573e30873a1bd5421ac390c2133aa0a029b2238da282d8","observation_id":"d9d09510-555a-4627-ad6a-c104d3d1e0fe","resolution":{"observed_at":"2026-08-02T18:49:58.036386Z","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":"2026-08-02T18:49:58.096742Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.096742Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:d4cf821fe568419ad7e7fe6172d9df1ca4a41f2df1aba2d13d1df4bedbd9f4cb","observation_id":"a6e17381-bedc-4701-8b02-82ab71daf84a","resolution":{"observed_at":"2026-08-02T18:49:58.096742Z","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":"2026-08-02T18:49:58.168843Z","title":"Alleeeffectpromotesdiversityintraveling waves of colonization.Proceedings of the National Academy of Sciences, 109(23):8828–8833, 2012","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.168843Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:40999bf2defaecf8ca7ae7a396e3964629d5fb475d4c94b905c04ab85e3af35d","observation_id":"a8625d40-66b2-4060-a21a-4cfbed767939","resolution":{"observed_at":"2026-08-02T18:49:58.168843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05269","last_updated":"2024-09-09T01:39:52Z","snapshot_observed_at":"2026-08-12T22:49:00.014619Z","submitted_at":"2024-09-09T01:39:52Z","title":"Non-Equilibrium Fluctuations for a Spatial Logistic Branching Process with Weak Competition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.05269","snapshot_observed_at":"2026-08-02T18:49:58.241307Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.241307Z"},"links":{"cited_paper":"/paper/2409.05269","citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:2355034ba71366168a2832682a9a621eef2fb7954c0b22991c0e7089fa1049d6","observation_id":"ea13623f-b7f4-4ade-bbd6-a6f44ab106d1","resolution":{"observed_at":"2026-08-02T18:49:58.241307Z","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":"2026-08-02T18:49:58.296845Z","title":"van Neerven","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.296845Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:8dbd71674e5ef525a8c4beee9f125d9e3a22895ab6386ce7066460606428f96c","observation_id":"3a14126d-88c4-4431-bfe0-eef0d2518967","resolution":{"observed_at":"2026-08-02T18:49:58.296845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02750","last_updated":"2018-10-05T15:32:41Z","snapshot_observed_at":"2026-08-07T22:57:58.718743Z","submitted_at":"2018-10-05T15:32:41Z","title":"Frozen percolation on inhomogeneous random graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.02750","snapshot_observed_at":"2026-08-02T18:49:58.395952Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:58.395952Z"},"links":{"cited_paper":"/paper/1810.02750","citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:587cd5c95112f0edadcb822c0fd75e1b9d040b206ce15fa0cd449dc03a85bb7d","observation_id":"aef97513-6d80-477d-b02a-1ab8fb4880bb","resolution":{"observed_at":"2026-08-02T18:49:58.395952Z","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":"2026-08-02T18:49:54.655132Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet","version":2},"reference_index":282,"source":"pdf_text","source_observed_at":"2026-08-02T18:49:54.655132Z"},"links":{"citing_paper":"/paper/2603.06478"},"observation_digest":"sha256:084c6a0f6eaa07035733d5ab668e85caa8bf17d492b2aa44a27acb6a049d7fdc","observation_id":"a9ef1258-c251-4e4e-a9fe-6de62963aff1","resolution":{"observed_at":"2026-08-02T18:49:54.655132Z","resolver_source":null,"status":"parse_uncertain"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.06478","last_updated":"2026-07-16T12:30:57Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-08T23:46:03.138282Z","submitted_at":"2026-03-06T17:01:44Z","title":"A functional law of large numbers for a spatial model of Muller's ratchet"},"reference_resolution":{"displayed":74,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":73,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":74},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 0 inbound Pith citation observations for arXiv:2603.06478."}