{"as_of":"2026-08-21T12:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:49ce809375151a882d362d8eef40d2e9102f92e8ef1e33af19d9c95f6454901b","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T18:04:52.492483Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2606.00781/citation-record","integrity":"/paper/2606.00781/integrity","json":"/paper/2606.00781/citation-record.json","paper":"/paper/2606.00781"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T18:04:52.492483Z","title":"and Lanoue, D","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:8d8e3e977500da64929eb07bf19675e69e9f249dcabe02a0abf3ac395d4467ad","observation_id":"c47ef9ac-1fc1-477d-a4de-b62102c26bee","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1974) The latent roots of certain Markov chains arising in genetics: a new approach, I","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:21e8d275faa97fba26871aaeecf6eba79c4fcd0aed753342cd73ab34bf203e37","observation_id":"fa2a8513-dc75-4990-a31e-8af1b4fdff97","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Redig, F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:79164c12e4bc7919720a189738ce8a4b06a0eb5e5b8b729de1580d481b476f88","observation_id":"518a5fd5-4d7c-44cc-9bd6-0a404189d8f6","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Tsagkarogiannis, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:a29382c2b5e23283b69df22974d7ac8e8534379c01c46fcab3cf23a36f521d23","observation_id":"b5b5d60f-e18d-4f78-8c6e-488906781cd9","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Kanwal, R","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:ba0e1a1b82cc46d06cc5cb474a9ae2da59d490047d11e09d88d90d233b6848d5","observation_id":"23d4ca55-2761-480b-9b04-6bca3204cb06","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:290069f38c988120d465418cf43b737a882a1141b7bebd5ae1c49d5288995f40","observation_id":"cb171ace-8044-4fb3-933d-cf7f8692282b","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Giardin\\`a, C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:5faf879747e63b6edabfb7774efe9cef5b4ff1910f3e8cb820c0d68bc548c746","observation_id":"58a3b6f5-47db-4ff2-9214-439d44443f26","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Giardin\\`a, C","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:84d6963b916d54d0435b5ccd6782e2e6a127779eb74bb85946671cb6fbef96a1","observation_id":"3ce9607c-880f-431e-9de3-48dd4f10976b","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Kurchan, J","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:c813c77690f488b86da16d91368684c0729b924ae2cab05640df0fc362c47372","observation_id":"92cb0d18-4ca9-461d-b66b-0fd9d816f70b","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and van Tol, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:f8f0724868544029cc318a49285c2c254e7f21217e765dfa8e9964502ae5d42a","observation_id":"9fb92454-5d6d-41a2-bcac-950bc12f0a35","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1976) Loss of alleles in a haploid population with varying environment","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:0fede65efcecf9dcef12fd5f253e1bd26efd1025dbebc63d047746fcca0441e3","observation_id":"b66f571b-714c-4772-a88b-815fecd79270","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1977) Haploid populations subject to varying environment: the characteristic values and the rate of loss of alleles","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:4ffc94a6749381e028cc36ad2f77dd919df8e28ebfc223022fe3635195b992b9","observation_id":"87a0f963-4cf4-44a2-8da6-fc4e6dc9d09d","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1978) The characteristic values and vectors for a class of stochastic matrices arising in genetics","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:12d42d7935993319bf10d730d4c386bb9f8853bbf0e8e29e060d566cf0ca63a9","observation_id":"e879a0db-269b-4f14-b01a-20ccd58ad6d2","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:c3d8c7ebb993979fb79eabbcd866cef9d364b09b09cb62e91efd5d7b7749bb94","observation_id":"e313d6d4-1adc-4b9a-bb58-46d7e65006ba","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"and Span\\'o, D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:766f6eb3090d0328137e228357d88c6f43a21de68316f80acf4fa0273dc91ac7","observation_id":"ebd5220c-698f-490c-8a39-c209b78c59d0","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(2014) Stationary distributions for a class of generalized Fleming--Viot processes","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:b20ca7f79c21dd95638bb04f5b404ccebc590e97ce8aac8f51262c0514108138","observation_id":"0b4007f9-8a29-4f66-857c-f1befec2ff08","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:b9eaac5fda55dacc81ecc985ea14c0439c873aa7056d4e547789481db1c9a219","observation_id":"d627f6a3-dcb9-401b-aa9e-f6f89b05c053","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02400","last_updated":"2025-05-05T06:46:05Z","snapshot_observed_at":"2026-08-20T22:02:12.343808Z","submitted_at":"2025-05-05T06:46:05Z","title":"Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs","version":1},"cited_work":{"arxiv_id":"2505.02400","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.02400","snapshot_observed_at":"2026-07-01T20:46:13.383967Z","title":"and Sau, F","venue":null,"work_id":"c9dc9ac7-dbd4-4055-b543-64aa9b6b319f","year":2025},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"cited_paper":"/paper/2505.02400","citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:e397e2b096c1b813a201a4dce9d0825d231ac907551750da5526dc945ebbc691","observation_id":"c4893af0-7ce9-4336-b5d4-e6cda84678e7","resolution":{"observed_at":"2026-07-01T20:46:13.385910Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-06-28T18:04:52.492483Z","title":"and Presutti, E","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:55b4a36dfc0d0dadec06db807b0c01e9472e20ceeb141688b96235e867cd3d4c","observation_id":"18057b24-ff80-484e-96da-5f15d5d58125","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1999) The concept of duality and applications to Markov processes arising in neutral population genetics models","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:4a2c8091150962a00e6a1dd7641ab528e2d37992f67d7bc29e17a1a67107cfd1","observation_id":"54ae5b9e-ee1b-4886-9be8-91fb244d8ad9","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(2006) On sampling distributions for coalescent processes with simultaneous multiple collisions","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:e4f40fb4959c09429346c621530aadddf298834e3e3fa9434d4c5df1ba970d67","observation_id":"be273d59-47dd-4780-847f-2aef80605f63","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(2010) Looking forwards and backwards in the multi-allelic neutral Cannings population model","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:5719c1afff3ed503641d07f22d05a44dbfcd9d349027ce5833daa4357ba1abe8","observation_id":"9ec0f92a-7a1b-4d4f-b1a6-a230b15aecd4","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1999) Coalescents with multiple collisions","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:b430ae593b35949f27147787ace23e047e4693c7696236e936af557367222ca8","observation_id":"744e44b4-8f31-4610-aafd-58829fd21e37","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","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":"2026-06-28T18:04:52.492483Z","title":"(1920) \\\"Uber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung und das Momentenproblem","venue":null,"work_id":null,"year":1920},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:e897ecfb79f491c5c7860a6f19a3150539a63a117482ad0b09bbe33d9803d339","observation_id":"2edb83d8-62f5-4764-a460-c23229d4dc35","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.17469","last_updated":"2026-04-19T14:44:35Z","snapshot_observed_at":"2026-08-14T19:55:16.748737Z","submitted_at":"2026-04-19T14:44:35Z","title":"Ergodic properties of the harmonic process","version":1},"cited_work":{"arxiv_id":"2604.17469","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.17469","snapshot_observed_at":"2026-07-01T20:46:13.380050Z","title":"Ergodic properties of the harmonic process","venue":"math.PR","work_id":"adccfb23-0ad8-42f2-9ee8-712447b21b5a","year":2026},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"cited_paper":"/paper/2604.17469","citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:f7a96d17058a83853ea3824dbb0e14e9bdd41c512ae37a7bb522221f8e322886","observation_id":"02209901-a4ea-4e6c-ad2d-6461efcec78d","resolution":{"observed_at":"2026-07-01T20:46:13.381678Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-06-28T18:04:52.492483Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-28T18:04:52.492483Z"},"links":{"citing_paper":"/paper/2606.00781"},"observation_digest":"sha256:58c13df560006ef1568e0e726ed36766ad9398ffbd340ca831effc14d970a580","observation_id":"224be60e-651b-4065-9cd8-d339efddf20f","resolution":{"observed_at":"2026-06-28T18:04:52.492483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.00781","last_updated":"2026-05-30T15:59:25Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-03T22:51:07.246287Z","submitted_at":"2026-05-30T15:59:25Z","title":"On a $\\Lambda$-mutation model and the harmonic model"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.00781."}