{"as_of":"2026-08-18T17:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a4725aeaf56b3a43657e1e99dfcdfe18e4129d57634f3d9f63dfb66608518e29","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T10:30:10.003475Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:28:28.391677Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-30T03:04:14.113290Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19319","snapshot_observed_at":"2026-08-15T20:28:28.391677Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.13412","last_updated":"2025-08-06T21:25:25Z","snapshot_observed_at":"2026-08-15T20:12:00.715116Z","submitted_at":"2025-05-19T17:47:51Z","title":"Counts and end-curves in two-parameter persistence","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:28.391677Z"},"links":{"cited_paper":"/paper/2411.19319","citing_paper":"/paper/2505.13412"},"observation_digest":"sha256:b3bdb56a3dc191bb475086dbc0eb3aee9200a77b3961348e1a7ab89696213731","observation_id":"2b2e0666-3129-4c47-bf5e-1a51982c3bd4","resolution":{"observed_at":"2026-08-15T20:28:28.391677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.19319","snapshot_observed_at":"2026-08-05T22:11:11.433102Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.07435","last_updated":"2025-08-10T17:14:06Z","snapshot_observed_at":"2026-08-15T10:32:35.020183Z","submitted_at":"2025-08-10T17:14:06Z","title":"Rooted tree modules","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T22:11:11.433102Z"},"links":{"cited_paper":"/paper/2411.19319","citing_paper":"/paper/2508.07435"},"observation_digest":"sha256:072ce8583ac1154a84a196ef913711032c0c5489ea81ffd07ce1403a1970fdc5","observation_id":"ac566ef9-ea06-44f2-b04e-8045a8458829","resolution":{"observed_at":"2026-08-05T22:11:11.433102Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"cited_work":{"arxiv_id":"2411.19319","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.19319","snapshot_observed_at":"2026-06-30T03:04:14.113290Z","title":"https://arxiv.org/abs/2411.19319v1","venue":null,"work_id":"079e4386-ae37-4c51-8061-ce22c2aa9cce","year":2024},"citing_paper":{"arxiv_id":"2606.30490","last_updated":"2026-06-29T15:54:54Z","snapshot_observed_at":"2026-08-13T18:15:55.911529Z","submitted_at":"2026-06-29T15:54:54Z","title":"From Frames to Features: Scalable Zigzag Persistence for Binary Video","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-30T02:54:56.480939Z"},"links":{"cited_paper":"/paper/2411.19319","citing_paper":"/paper/2606.30490"},"observation_digest":"sha256:998e461db4b9497b8883b78b758188c0b533fc8a2ff808c517194fe996b6aacd","observation_id":"57190649-c6b7-4b98-bab5-f745ff13a59e","resolution":{"observed_at":"2026-06-30T03:04:14.115420Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2411.19319/citation-record","integrity":"/paper/2411.19319/integrity","json":"/paper/2411.19319/citation-record.json","paper":"/paper/2411.19319"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T10:30:10.400147Z","title":null,"venue":null,"work_id":"a24bbc0a-2a56-4d5c-8b7e-06348700c18f","year":2024},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.890879Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:bdc467b45c1149ed7f877687557264f455d4208522c71680885e652a813d5912","observation_id":"55d9ba70-6062-46f8-bb62-4ca0dc3c380c","resolution":{"observed_at":"2026-08-12T10:30:10.404562Z","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":"2026-08-12T10:30:10.388700Z","title":"Elements of the representation theory of associative algebras","venue":null,"work_id":"cec1f7cb-8daa-4a9f-96a1-fff2743a22f6","year":2006},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.895641Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:cb5637ce5ea7d3edabb4562efce0d81bef50083978f93c7e7f5efec0ccb855c9","observation_id":"ea0e6019-b7d8-4793-9a33-40c5c4d5a76f","resolution":{"observed_at":"2026-08-12T10:30:10.392369Z","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":"2026-08-12T10:30:10.377862Z","title":"Botnan, Steﬀen Oppermann, and Jo han Steen","venue":null,"work_id":"32355c78-c4ad-4c2f-9658-5e81d399f187","year":2020},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.899979Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:49413ee49a39592d71a52236329053526c241a54cc9d4338d710517b4b50e3d9","observation_id":"047bff84-24ae-46b6-8c4e-17ec8c92dae3","resolution":{"observed_at":"2026-08-12T10:30:10.381365Z","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":"2026-08-12T10:30:10.366657Z","title":"An introductio n to multiparameter persistence","venue":null,"work_id":"74600e34-2c6b-48ab-a2a1-bc495ecea38a","year":2023},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.904142Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:40dc8553c04f3da3a3127d530ec583b9fe9d867efa75f0f02c1fd27ac1e977ee","observation_id":"cf77f7e6-1dd8-4697-84d0-08f1bb66dcc9","resolution":{"observed_at":"2026-08-12T10:30:10.370247Z","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":"2026-08-12T10:30:10.355518Z","title":"O n the complexity of zero-dimensional multi- parameter persistence, 2020","venue":null,"work_id":"8521417a-8d9a-47d7-b367-fd4b61c2e329","year":2020},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.908253Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:8c38aee50594050207a27aaa03d72d86d3add3ff197f6a2fee112b5a506b8c94","observation_id":"9db11294-f100-43f8-833e-ce76da1f4c8b","resolution":{"observed_at":"2026-08-12T10:30:10.359372Z","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":"2026-08-12T10:30:10.343608Z","title":"Coarse nodal count and topological persi stence","venue":null,"work_id":"dd1d2232-bd5d-449f-98d3-882168f60bd7","year":2024},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.913155Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:cdc68cd31614e20781413d951f6b2e7b34d6a464211f1e6b6c7fbbfd8022f01a","observation_id":"f05dac10-ad7d-424f-8178-5e37c52f57e7","resolution":{"observed_at":"2026-08-12T10:30:10.348485Z","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":"2026-08-12T10:30:10.331729Z","title":"Eld er-rule-staircodes for augmented metric spaces","venue":null,"work_id":"8e999083-401f-47f1-b51e-4eb3de83fb4e","year":2021},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.917670Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:c91c9ed3c136d22f8056e473b7614f3c7dd909231ec6f2b2bc22b9a8f0045b91","observation_id":"03273e3e-61f1-4c79-864e-209fa96b7531","resolution":{"observed_at":"2026-08-12T10:30:10.336175Z","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":"2026-08-12T10:30:10.318959Z","title":"Guibas, Steve Y","venue":null,"work_id":"af9d036f-6d14-4bd4-aa43-44f1d450053d","year":2013},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.921462Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:f8dab960dbe3f9955a60c9ad7d2eb1ef9433c0a50c8ef82dd8034960f0dc92ff","observation_id":"c7f1342b-9bc6-4b84-90b1-f8c08796cd21","resolution":{"observed_at":"2026-08-12T10:30:10.323401Z","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":"2026-08-12T10:30:10.306486Z","title":"An introduction to topological data analysis: Fundamental and practical aspects for data scientists","venue":null,"work_id":"cbf163b4-443b-458f-bae4-65d52a379dfb","year":2021},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.925301Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:ccb04a90045c3df0569610bd10270cc22e443bcb09fb9a0692d4771ddcca1e7b","observation_id":"8fce147e-4fbd-42f8-86b6-536228162c0c","resolution":{"observed_at":"2026-08-12T10:30:10.310493Z","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":"2026-08-12T10:30:10.294923Z","title":"The ﬁber of the persistence map for functi ons on the interval","venue":null,"work_id":"60a825dc-1a60-4fcc-b141-0a80de8ff28a","year":2018},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.929170Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:c40d87dd7c031a9d350ac5cc4716aadf06295f430b8090abdddc43466ab13e97","observation_id":"058c6936-25f1-49cc-b6f4-1a05c8f9b92d","resolution":{"observed_at":"2026-08-12T10:30:10.298613Z","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":"2026-08-12T10:30:10.282729Z","title":"From trees to barcodes and back again II: Combinatorial and proba bilistic aspects of a topological inverse problem","venue":null,"work_id":"01e6022f-d0ef-4dfe-a789-8ef0d0938f02","year":2024},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.933062Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:c94809727b1f426e8f307523c3abedf57b8085fb6fcc1d1281358ea0a4b35e52","observation_id":"40615f3f-f55f-4767-a2ea-6a493b5891b5","resolution":{"observed_at":"2026-08-12T10:30:10.287456Z","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":"2026-08-12T10:30:10.270100Z","title":"An introduction to quiver representations , volume 184 of Graduate Studies in Mathematics","venue":null,"work_id":"76578746-12e0-4eb6-99c8-eb5980c20af1","year":2017},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.938604Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:90f18a77b5343689c7a3e8fe5ba8255353d4a729baca4eb858f165a35dba0beb","observation_id":"77a93938-4817-4401-88b5-936a7e5ee062","resolution":{"observed_at":"2026-08-12T10:30:10.274379Z","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":"2026-08-12T10:30:10.249982Z","title":null,"venue":null,"work_id":"cd679606-0247-41de-a5e1-cb3c1161d061","year":2010},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.943359Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:549b9e1df788f7b1e0b0e17433ed5dcbde13bc1fc240c4e7c310273301da488a","observation_id":"e5caf117-155b-455e-a54f-6e9368a68d76","resolution":{"observed_at":"2026-08-12T10:30:10.254148Z","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":"2026-08-12T10:30:10.235347Z","title":"Escolar and Yasuaki Hiraoka","venue":null,"work_id":"3f8f3fdf-5e02-4804-b640-fa1f22bef745","year":2016},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.948257Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:a50b9122c1121e361157f417719f93e07898b9595de67ea103af0534d4eb638f","observation_id":"8dcc89f2-018e-4b4c-ac6a-3745c1c9a482","resolution":{"observed_at":"2026-08-12T10:30:10.239958Z","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":"2026-08-12T10:30:10.221855Z","title":"Barcodes: the persistent topology of da ta","venue":null,"work_id":"41d4e7c8-f7e0-40a2-a077-9ac6d14f2d68","year":2008},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.952815Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:b3122e794b20ab68e28b4df918c8c2f5ce03ad6286b13e32c7c52ae208625217","observation_id":"9df2b399-61d2-4cf2-97ed-e82299eb2e9f","resolution":{"observed_at":"2026-08-12T10:30:10.227230Z","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":"2026-08-12T10:30:10.206883Z","title":"A survey of topological machine learning methods","venue":null,"work_id":"199d2e67-c287-40f8-805d-7f495319e3ba","year":2021},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.957271Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:21526e542bce14d3f3963ccc2aa04ae1aa5c21dbb5112e0c8a42c27e2409731f","observation_id":"0e129539-1674-48bd-ba15-606734756422","resolution":{"observed_at":"2026-08-12T10:30:10.211112Z","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":"2026-08-12T10:30:10.192933Z","title":"Reduced representatio ns of rooted trees","venue":null,"work_id":"916bf807-3cfb-411e-9a4e-ed2691bdb62f","year":2014},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.961685Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:1cdf408da705379520787db163fae83db58a003003f08bd2e4f6cc6c394e44d7","observation_id":"c0e0c9ef-d0d6-4d67-995f-0eb34e3cd257","resolution":{"observed_at":"2026-08-12T10:30:10.197144Z","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":"2026-08-12T10:30:10.175135Z","title":"Rank functions on rooted tree quivers","venue":null,"work_id":"2d3d1b1d-bf7b-4078-8c38-bdecd00632d7","year":2010},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.966401Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:ab063efcfb968d6ac8764e112d5d0e1136bf13902194287234001036449e928f","observation_id":"80b759f1-5741-439c-88a7-c43fe3a49deb","resolution":{"observed_at":"2026-08-12T10:30:10.182141Z","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":"2026-08-12T10:30:10.160140Z","title":"Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology","venue":null,"work_id":"1a176eff-ead0-4227-9cd8-47bebbf944b6","year":2022},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.970352Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:c0e1712cf727c99c69634ab5f05b75fc361c786880888b3f725faf641862befb","observation_id":"70b8c4d1-402b-40b8-b723-0597cb28b6bb","resolution":{"observed_at":"2026-08-12T10:30:10.165657Z","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":"2026-08-12T10:30:10.146248Z","title":"Indecomposable representations of ﬁnite ordered sets","venue":null,"work_id":"da61f1fa-9dca-4efd-b6cd-f42872ebf51c","year":1974},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.973944Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:3b36784410ee1bd09355b773be1979db23f87be7ade37937372239bdf02b9693","observation_id":"6e3cb823-cce0-41d1-bc70-40567b4fe78f","resolution":{"observed_at":"2026-08-12T10:30:10.150482Z","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":"2026-08-12T10:30:10.133497Z","title":null,"venue":null,"work_id":"b72bc324-7791-4b20-ae95-6fc9b3c9c8f4","year":2015},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.977777Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:845d812d1e3a59e8d0d91eecf613f6cde1b9826aeec4a5f40d9772ef45911bf4","observation_id":"ed003046-b7d6-4482-9f47-53f39ee32f02","resolution":{"observed_at":"2026-08-12T10:30:10.137486Z","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":"2026-08-12T10:30:10.118516Z","title":"Topological persistence in geom- etry and analysis , volume 74 of University Lecture Series","venue":null,"work_id":"c50a5eeb-e464-4403-9caf-1db8e3b020ab","year":2020},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.982396Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:677a00316e3ecbe2aa0943baa9396adedcf5739fe8984438ce0a251a4b8727b8","observation_id":"9f51065b-db68-4475-802d-cdec301e4ca3","resolution":{"observed_at":"2026-08-12T10:30:10.124626Z","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":"2026-08-12T10:30:10.104415Z","title":"Exceptional modules are tree mod ules","venue":null,"work_id":"c40505ef-8ea2-4d88-8fd9-fb1c79a7dbcc","year":1998},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.986182Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:fb8637a4c0129f4a6df6edd33a7113ff4af42d855b9354026fe618b3658fb1b2","observation_id":"7a3f43f8-ca17-4635-8538-8e274a762388","resolution":{"observed_at":"2026-08-12T10:30:10.108580Z","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":"2026-08-12T10:30:10.092072Z","title":"Distinguished bases of exceptio nal modules","venue":null,"work_id":"7a45757f-6609-4edd-97dc-ed0d92047861","year":2013},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.990153Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:4f226665500f585663d1fb2ab3a5bbb4c89296693f9a6cccef2a55d362786493","observation_id":"1fd51dd4-c75d-4816-a5fb-e70c5a2b0242","resolution":{"observed_at":"2026-08-12T10:30:10.096372Z","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":"2026-08-12T10:30:10.077857Z","title":"Stable and consiste nt density-based clustering via multiparameter persistence","venue":null,"work_id":"eeb98660-146c-494a-abab-e49522d6cbb2","year":2024},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.994268Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:7e0a0d0f619fcccfd642df683b3e461e41cc900b66c2860d1785ba06514619df","observation_id":"2a22676e-8d5d-446b-a763-5fb114f69ddb","resolution":{"observed_at":"2026-08-12T10:30:10.082429Z","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":"2026-08-12T10:30:10.056877Z","title":"On the Hofer-Zehnder conjecture","venue":null,"work_id":"7265afe5-f6ca-43b8-b0a0-5b3ad9dd3139","year":2022},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:09.998034Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:ba56141af45a9f3a6c3afa950fed62088e6967353886c22896e28b6f917e8c2e","observation_id":"1e7fbf15-044f-419b-ad34-c8f4980bb3d7","resolution":{"observed_at":"2026-08-12T10:30:10.064490Z","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":"2026-08-12T10:30:10.037008Z","title":"Data structures and network algorithms , volume 44 of CBMS-NSF Regional Conference Series in Applied Mathematics","venue":null,"work_id":"ea7d51dc-9695-49d7-afc7-27b15f197af1","year":1983},"citing_paper":{"arxiv_id":"2411.19319","last_updated":"2024-11-28T18:46:35Z","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T10:30:10.003475Z"},"links":{"citing_paper":"/paper/2411.19319"},"observation_digest":"sha256:32a8580f81e742101d74ae211ee078c4943fc98c313dd62eecc5f2a89485a667","observation_id":"72f1d7fa-0b22-4c32-ac7d-e93e79005f03","resolution":{"observed_at":"2026-08-12T10:30:10.044735Z","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":"2411.19319","last_updated":"2024-11-28T18:46:35Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-12T10:15:45.258681Z","submitted_at":"2024-11-28T18:46:35Z","title":"Decomposing zero-dimensional persistent homology over rooted tree quivers"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":24},"total_outbound_references":27},"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 27 of 27 outbound references and 3 inbound Pith citation observations for arXiv:2411.19319."}