{"as_of":"2026-08-18T16:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0dac07b567963fe23efcf28505c09bcad1da0285751105c2d145be63a4f7a79d","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T05:45:54.229203Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2504.20030/citation-record","integrity":"/paper/2504.20030/integrity","json":"/paper/2504.20030/citation-record.json","paper":"/paper/2504.20030"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.439946Z","title":null,"venue":null,"work_id":"9b652345-5eed-4115-85fe-2b44b1309cd0","year":2009},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.168790Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:7946a75e9da2aa49ef502097fe9788d06158dbe9aca8d1a9b8d88445a64ec815","observation_id":"50468bf4-edad-4692-a433-1764430dcb35","resolution":{"observed_at":"2026-08-16T05:45:54.445610Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.425853Z","title":null,"venue":null,"work_id":"00608683-ad45-44ff-8c2f-2c4f3dccdaf5","year":2010},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.174458Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:54ceaab87d5a8e4f1ce2d20153232c36ea2ed698e3375bf25c802eaa1de83034","observation_id":"d1be0be1-6fa6-4eb2-899b-51484837d382","resolution":{"observed_at":"2026-08-16T05:45:54.430651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.09621","last_updated":"2025-01-22T18:27:32Z","snapshot_observed_at":"2026-08-18T10:27:47.140991Z","submitted_at":"2024-11-14T17:45:21Z","title":"Crossing bridges between percolation models and Bienaym\\'e-Galton-Watson trees","version":2},"cited_work":{"arxiv_id":"2411.09621","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.09621","snapshot_observed_at":"2026-08-16T05:45:54.264600Z","title":"Crossing bridges between percolation models and Bienaym\\'e-Galton-Watson trees","venue":"math.PR","work_id":"7dfba2e8-eb36-418f-9f97-ec9eeab617ac","year":2024},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.179073Z"},"links":{"cited_paper":"/paper/2411.09621","citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:11601ce8ea5c39f7dd5ace0c2124a0e430eb952c003a23d8e6209f2a607708d7","observation_id":"79e3abcd-288f-4230-9cb2-de6a48cd222e","resolution":{"observed_at":"2026-08-16T05:45:54.271090Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.411944Z","title":"Blancas and S","venue":null,"work_id":"085a00df-e5b3-4819-871e-bbf98729e54b","year":2024},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.184727Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:c47962a55f12edcb07e64feb5824c6f16d8e1957cb6720b4fc25610f506c7ade","observation_id":"73398b6a-6fa0-4c57-9113-210a5944b379","resolution":{"observed_at":"2026-08-16T05:45:54.416565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.397819Z","title":"Chaumont and R","venue":null,"work_id":"34e36ae2-e57a-44f0-978e-357edaf18c0f","year":2016},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.189362Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:0f426ae71ea7c8365a6853ad536d9ad5250dee106c5cc930fee6b37a52f80e94","observation_id":"dad8bbae-27a6-4c2d-ab1c-584ec6ad974d","resolution":{"observed_at":"2026-08-16T05:45:54.403133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.383122Z","title":null,"venue":null,"work_id":"c0831fff-5f25-4243-ab56-8d78698a7f95","year":1986},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.194687Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:8c80465f2874e05ba3b1caa276c4e60789dde5388c103529afc8de9a8f1fd75b","observation_id":"786cc825-cf5e-4eee-aefd-96a0d8ff48aa","resolution":{"observed_at":"2026-08-16T05:45:54.389012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.198750Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.198750Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:97438bd12ddf1232805c8ab160dc3ed4849a2bd2a597a9dcbcacadac15312854","observation_id":"9a7ae4f7-ba34-45b1-8c62-96bbbb6123f1","resolution":{"observed_at":"2026-08-16T05:45:54.198750Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.359111Z","title":null,"venue":null,"work_id":"bd0005c2-094d-49f5-8354-705d450397b6","year":1989},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.202995Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:53ac8c6b69138cfd9c937c85d21634922a21a5c919fb4aef6665d11ebbcb53ad","observation_id":"60bfcc59-ab31-4a2b-a56c-c3f7da94adb9","resolution":{"observed_at":"2026-08-16T05:45:54.363126Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.346578Z","title":"Kuipers, K","venue":null,"work_id":"902a0967-ba37-4a69-b4ce-182e4617afe6","year":2017},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.207522Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:4e9cc38334be27379074650d09986b27d37ffe6602aef6ba8b29d9f1c4a9056c","observation_id":"7792d1a2-c35e-498f-bb4a-b6bcf889b926","resolution":{"observed_at":"2026-08-16T05:45:54.350411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.333511Z","title":null,"venue":null,"work_id":"e263936b-a2c0-47f3-9399-0e31103de393","year":2000},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.211754Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:45b3cdfd1567c6060f203ad7e470e0242482e292e1fc1878e10de1a965a327ee","observation_id":"4a1bfe45-016b-44e4-aba5-4a4a4125efbb","resolution":{"observed_at":"2026-08-16T05:45:54.337944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.320538Z","title":null,"venue":null,"work_id":"17064ffb-933c-495a-b5c0-67886a1221ed","year":2013},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.215778Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:328b0388b6bff5d05dd6df5a223d8b348427120018ffbd63bd7c8e0e31ae9dcc","observation_id":"7a67a55b-cd63-4386-8326-dd0126d183d8","resolution":{"observed_at":"2026-08-16T05:45:54.324863Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.220530Z","title":null,"venue":null,"work_id":null,"year":1949},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.220530Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:69520119b8b52e269b2d61b7cae038366c8eef42a4d68dcef9c5a9be2c94188c","observation_id":"956b5899-9505-4566-8e7a-99722fc1f685","resolution":{"observed_at":"2026-08-16T05:45:54.220530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.294104Z","title":"Pitman.Combinatorial stochastic processes: Ecole d’et´ e de probabilit´ es de Saint-Flour XXXII-2002","venue":null,"work_id":"7ff267d2-24ce-415a-b105-2888b2f82496","year":2002},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.225058Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:d05e6715a7897ec18e4049d7b486795313adbd8845dadaeb028192599b5b016a","observation_id":"1fb7880a-3d78-4394-a68b-4843289b9489","resolution":{"observed_at":"2026-08-16T05:45:54.299967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T05:45:54.281466Z","title":"Zafar, A","venue":null,"work_id":"9f3dbe1b-f15d-48d5-b733-c9005b576762","year":2017},"citing_paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T05:45:54.229203Z"},"links":{"citing_paper":"/paper/2504.20030"},"observation_digest":"sha256:f481584f5af6f01da929488b6f8a18edabf11bf021753454a023528859a18057","observation_id":"df70f9ca-f300-4ae7-a4a1-6391e7f5530e","resolution":{"observed_at":"2026-08-16T05:45:54.285428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2504.20030","last_updated":"2025-04-28T17:54:02Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T10:28:13.237717Z","submitted_at":"2025-04-28T17:54:02Z","title":"Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":5},"total_outbound_references":14},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2504.20030."}