{"as_of":"2026-08-08T02:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:77db863afafe4c77653218cc798b4d7f2e7ccb95a30411b789997b63c5b9559e","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:44:18.117666Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.04783/citation-record","integrity":"/paper/2506.04783/integrity","json":"/paper/2506.04783/citation-record.json","paper":"/paper/2506.04783"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:44:20.082373Z","title":"A¨ ıd´ ekon","venue":null,"work_id":"c34c98dd-052f-43ab-841d-48bfb4340514","year":2010},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.152181Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:a81f0ab3c2ad7514ade81748207536b3e2d2392a2a11dc24dfb13221d272f83c","observation_id":"1285be35-d5a9-4aa5-af2e-b93a24df0856","resolution":{"observed_at":"2026-08-07T10:44:20.224378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.916984Z","title":"A¨ ıd´ ekon, Y","venue":null,"work_id":"faef2589-d18f-49d1-ad83-828794253f00","year":2013},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.229215Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:9aa4a5848fed7f8bda0f8faa4c571ca49480a5427da87300e8540be1736e6608","observation_id":"9439ee4f-a389-4afd-a01d-7e39a9ce7e80","resolution":{"observed_at":"2026-08-07T10:44:19.991098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.789737Z","title":null,"venue":null,"work_id":"909f3358-f63a-4f0f-838a-d995449389d2","year":1997},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.323909Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:e2a620904d6e459e162131d399976bb1b7220115306535c029ba6328a9d84d75","observation_id":"061acd55-cb28-4d4c-b949-a72d4bb01e8e","resolution":{"observed_at":"2026-08-07T10:44:19.846116Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.586041Z","title":null,"venue":null,"work_id":"4f504b67-57cb-4288-8529-1d766c6112be","year":1996},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.419996Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:1a67d542516441e95240fdaa26ef00720d14e3af7bacd579dcc3bae166112ba3","observation_id":"6c8de0d7-8cd7-4c6c-b535-75bdfa5fa6c2","resolution":{"observed_at":"2026-08-07T10:44:19.673376Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.407585Z","title":"Berestycki, E","venue":null,"work_id":"59ebcaff-f36e-47f5-b45b-3ba0d8608c52","year":2017},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.516858Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:5d000bb3e94f521ff082d8131ed3e1dd2e549a43613aae0d98e9fde306eaeb06","observation_id":"eee61b59-feb6-426d-b50e-0a87f0dcf54b","resolution":{"observed_at":"2026-08-07T10:44:19.488149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.238269Z","title":null,"venue":null,"work_id":"c010499c-3afd-4b4f-be26-586c0e9ee3c4","year":1989},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.608203Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:de2541977a1b1ec4569453c00e98bb100875801b8c224f4bd81291189eb100d5","observation_id":"76e95238-6fe5-4519-b724-b99f6ff222ba","resolution":{"observed_at":"2026-08-07T10:44:19.313562Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:19.071441Z","title":"Kyprianou","venue":null,"work_id":"4edc285e-0771-4878-9b8b-4890cc304d7f","year":2014},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.697813Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:f54474f1564ddb8d84539178245f044faec6c246054dbe6a4a33343863a33431","observation_id":"daddd046-4bb9-4865-ba41-a03a0be96bdd","resolution":{"observed_at":"2026-08-07T10:44:19.145767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:18.923256Z","title":"Kyprianou and Z","venue":null,"work_id":"f5ab8317-40e3-4534-b7d8-4d50dd3f2334","year":2006},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.765734Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:a3063f7376889240f98b83f610538c62290523cf8751dbf854ad036f04c2ff36","observation_id":"38d44cd0-0666-42b5-a335-7d2493176ee5","resolution":{"observed_at":"2026-08-07T10:44:18.993662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:18.714674Z","title":"Kyprianou, V","venue":null,"work_id":"c0f1623c-66c7-43ed-a195-b24180eb707f","year":2010},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.850794Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:a9cd927ea2db4e362c43d6ff391bdfdb24a16ec50028ef797c699d587f5ad8df","observation_id":"11fda8e5-807d-42ff-b096-e16349776baa","resolution":{"observed_at":"2026-08-07T10:44:18.822463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:18.527785Z","title":"Maillard","venue":null,"work_id":"6e85f7ef-cbd9-494b-88ac-057aa778b7d1","year":2013},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:17.939564Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:220acd3ca35130a63a4f6223b20bd726811c4b6b185ab98164f12657250c8454","observation_id":"5ae17f84-cbe0-4c24-a41e-3d6cb5ec4996","resolution":{"observed_at":"2026-08-07T10:44:18.599330Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:18.353945Z","title":null,"venue":null,"work_id":"ab29660f-73dd-42e5-80ad-514628ce7e8c","year":2024},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:18.017015Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:0edd812682a8205d784dd138c1dbd6a468a0e7dd949ba6907cc01154fee76bb7","observation_id":"695749c0-7563-4f10-96cd-298126eeb342","resolution":{"observed_at":"2026-08-07T10:44:18.410475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:44:18.216618Z","title":"Roynette, P","venue":null,"work_id":"cd89db14-90bd-4ca0-9869-1855e8182e7c","year":2008},"citing_paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:18.117666Z"},"links":{"citing_paper":"/paper/2506.04783"},"observation_digest":"sha256:e94f7f6103a587be3f1e2b049ee3b1b1adeffd23d9a0304e54f66630fb021d84","observation_id":"bb935509-a7c0-466a-b442-79976d2d61eb","resolution":{"observed_at":"2026-08-07T10:44:18.252174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.04783","last_updated":"2025-06-05T09:11:44Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T10:30:32.933390Z","submitted_at":"2025-06-05T09:11:44Z","title":"Total progeny for spectrally negative branching L{\\'e}vy processes with absorption"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":8},"total_outbound_references":12},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.04783."}