{"as_of":"2026-08-16T05:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b06de2c15fd2173e24f9413f4bd08cdb54e3f87a15982e98f4ba35cd0f829ff0","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T11:01:31.818942Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2412.16273/citation-record","integrity":"/paper/2412.16273/integrity","json":"/paper/2412.16273/citation-record.json","paper":"/paper/2412.16273"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.10947","last_updated":"2024-11-28T06:31:25Z","snapshot_observed_at":"2026-08-12T23:41:45.011074Z","submitted_at":"2024-06-16T13:57:17Z","title":"The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras","version":2},"cited_work":{"arxiv_id":"2406.10947","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.10947","snapshot_observed_at":"2026-08-11T11:01:32.054481Z","title":"The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras","venue":"math.RA","work_id":"93ebc66c-3aa0-40e4-b18a-bbe4e8fecabe","year":2024},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.633545Z"},"links":{"cited_paper":"/paper/2406.10947","citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:7d2971ef27a44bdaa3f2e580acd79e479235623c1ed8edfd6f995b668e6be5e5","observation_id":"d292f3d8-5446-4244-9505-0c4ef0de442d","resolution":{"observed_at":"2026-08-11T11:01:32.065715Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:31.645687Z","title":", Classification of three dimensional anti-dendriform algebras, Comm","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.645687Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:3a87c5687cad06b15cf5942337ce5fd7b509cc266a8872cbe981c908773087f0","observation_id":"d2f135d5-caa2-4d80-aeb5-75c4f865b067","resolution":{"observed_at":"2026-08-11T11:01:31.645687Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-11T11:01:32.671701Z","title":null,"venue":null,"work_id":"b84eeaf3-9565-426e-a4bd-e70b49ece5ef","year":2021},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.655424Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:3593613f6dc9a4760fdd394028163df4e56f950fc7c11befab0530ddc3e70c30","observation_id":"f1e5afba-3754-4a77-8709-1d4741eb32ce","resolution":{"observed_at":"2026-08-11T11:01:32.677923Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.642879Z","title":null,"venue":null,"work_id":"fc5bf0ec-80b2-4782-8dbb-f094d723ac35","year":2001},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.663398Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:6423da71dea286805cb2ffba963b5deaa27af1684290ac259e28cbbd387e5edd","observation_id":"c674d8a1-9411-489f-afd5-36126380856e","resolution":{"observed_at":"2026-08-11T11:01:32.653450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00459","last_updated":"2023-11-01T11:50:44Z","snapshot_observed_at":"2026-08-14T04:44:55.929161Z","submitted_at":"2023-11-01T11:50:44Z","title":"The algebraic and geometric classification of transposed Poisson algebras","version":1},"cited_work":{"arxiv_id":"2311.00459","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.00459","snapshot_observed_at":"2026-08-11T11:01:31.911717Z","title":"The algebraic and geometric classification of transposed Poisson algebras","venue":"math.RA","work_id":"ff2b400b-6507-4519-9e21-5830ba4e3670","year":2023},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.670589Z"},"links":{"cited_paper":"/paper/2311.00459","citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:2f2d94f8264ef3a262820ea0ef312dbd63ca6c5da76c77bdf1db2d8481bbcd4b","observation_id":"56ced0ab-acdb-4e99-8ee1-3fc088e51581","resolution":{"observed_at":"2026-08-11T11:01:31.919330Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.616705Z","title":"95 (1998), 397-411","venue":null,"work_id":"17bf283c-ce19-4f48-89fd-a7787d5d7fdd","year":1998},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.679387Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:bd144b0e7a8f941380f8079d1f7672f42cce5988bc4c4501a36712ae03b06c0a","observation_id":"2157b4d2-dbb5-4442-931f-1edf50c2449d","resolution":{"observed_at":"2026-08-11T11:01:32.623232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.592161Z","title":null,"venue":null,"work_id":"297a64b2-802b-49d7-babf-1700cc5518ee","year":2017},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.688166Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:771c8597115109180c498a37790eb4205ef63470adb24b863384d3ff9ab23fc3","observation_id":"6bf0cf84-b65b-429c-a6fd-0cdc856f4812","resolution":{"observed_at":"2026-08-11T11:01:32.600539Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.566394Z","title":"and Zusmanovich P., Commutative 2-co cycles on Lie algebras, J","venue":null,"work_id":"43fe026d-d39e-4994-8104-065dd0e10b5b","year":2010},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.693968Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:0e0ef356bf366040b09eebcaf8f308aa76839b07f9f4afc3b58bc847477fb8ed","observation_id":"d23a6d72-27b7-43b9-9c73-d8e53cb9cad7","resolution":{"observed_at":"2026-08-11T11:01:32.574556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.542657Z","title":null,"venue":null,"work_id":"dbb69bc5-fe7e-4c35-8129-e2d44dc85245","year":2024},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.703941Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:328cb3ee1350f6e7de3d24e69e0ff72b8231eaf0f6216c746206a0d17cd9fa40","observation_id":"726a80f1-b96a-4b41-a7f7-59ea1b80fb9d","resolution":{"observed_at":"2026-08-11T11:01:32.549197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.523818Z","title":null,"venue":null,"work_id":"df072125-31dc-4851-8c95-cd235906cdae","year":1963},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.711872Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:c0643665d913f469b06e4a76d4dc8dda75089e066239e69f42d7166ef749baff","observation_id":"051e4a8b-cb36-4b86-9e5e-34031a82f066","resolution":{"observed_at":"2026-08-11T11:01:32.530392Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.493360Z","title":null,"venue":null,"work_id":"042d43b5-e21c-410a-a389-89cd643532b3","year":2002},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.719925Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:70468aab06815e2b54f9e642b5eb2bb3f0f098afdf52051b528da5dc4be76c00","observation_id":"e6790d49-ddaa-4e58-93db-2a8bab43cf64","resolution":{"observed_at":"2026-08-11T11:01:32.502678Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.465539Z","title":null,"venue":null,"work_id":"58ab08ad-3c1a-4e84-97a0-cf3906f78c9b","year":2006},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.725870Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:7668a959691c45cf7cf430fd8081aa38f14d61e77dc8c9f54213651f54d3c831","observation_id":"af07c8b4-5042-4569-97bb-ba88a1307a3b","resolution":{"observed_at":"2026-08-11T11:01:32.473654Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.417016Z","title":null,"venue":null,"work_id":"c77d6d06-702a-48ae-9310-a32b9be5af77","year":2021},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.731014Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:520e216c25bdf9a3cc83d941224c1d4695362dec7088e36baba948a1223fd5b6","observation_id":"3e53f81c-4f78-4e5f-92b3-b127ac6f433e","resolution":{"observed_at":"2026-08-11T11:01:32.432664Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.383861Z","title":"L., Domaines born /acute.ts1es homog‘enes et orbites de groupes de transformations affine s","venue":null,"work_id":"645fdf06-fe35-4a7e-8798-c5d82c841569","year":1963},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.737829Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:7896b34bf03984c7e2956b1c94fd953146abef728d28ca289c7f38224101f317","observation_id":"2a5fb59d-2ece-4bf2-8792-845b6cb7cde2","resolution":{"observed_at":"2026-08-11T11:01:32.390140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.04036","last_updated":"2024-11-08T13:52:10Z","snapshot_observed_at":"2026-08-15T02:58:25.140129Z","submitted_at":"2024-06-06T13:04:22Z","title":"A classification of nilpotent compatible Lie algebras","version":2},"cited_work":{"arxiv_id":"2406.04036","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.04036","snapshot_observed_at":"2026-08-11T11:01:31.872546Z","title":"A classification of nilpotent compatible Lie algebras","venue":"math.RA","work_id":"82bfcb4c-1d39-4aee-a5d5-a940cccb559c","year":2024},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.745590Z"},"links":{"cited_paper":"/paper/2406.04036","citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:d9b8de149f1b0c5b31705cdd559177a9ba451abf2a45e597fefcd4a4aaeedee3","observation_id":"ce8dde34-8cb3-4286-97cb-26effea5542e","resolution":{"observed_at":"2026-08-11T11:01:31.882119Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.358330Z","title":"Algebra, 609 (2022), 337-379","venue":null,"work_id":"c635b456-c6ec-4cc4-b703-1e52edf23a50","year":2022},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.752870Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:1d82aee15eb461bc73db34cf48352077985773d5baccd2e307c63547457011d0","observation_id":"a0561b68-1998-4a0e-be67-4960b427515b","resolution":{"observed_at":"2026-08-11T11:01:32.366487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.329019Z","title":null,"venue":null,"work_id":"5b1661ad-0431-4eae-b09c-915a0ead8fe1","year":2006},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.761708Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:9bc51c7da458ee3cc76597349f83ad62708a0a444112c8835d09bbf100b07f38","observation_id":"4ac1f73f-c68c-4143-9c63-11066582eb11","resolution":{"observed_at":"2026-08-11T11:01:32.338566Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.301514Z","title":null,"venue":null,"work_id":"7c62c839-c832-4d39-a186-9294ea366c28","year":2006},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.766843Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:2e818363650e0afc4b8f437a89530bbc627181f062209602a6cf3a7038816532","observation_id":"5aec2d07-ecc9-4328-bfb1-6fa64a21332b","resolution":{"observed_at":"2026-08-11T11:01:32.315637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.259617Z","title":null,"venue":null,"work_id":"d1023935-a9a4-4d0f-9fc6-da1780056a62","year":2008},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.776587Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:cefde2e3ce1239c44356108c5626db0ad1039faac03cbdd0989287fc9149d1d9","observation_id":"4e76c37f-a892-45b6-8c96-87cd5283aa8d","resolution":{"observed_at":"2026-08-11T11:01:32.278293Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.236080Z","title":null,"venue":null,"work_id":"ef886152-7a2e-4017-a793-1f53f6e3b92a","year":2000},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.787975Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:25dac4cc9793fffcb2568dcb121813451ade5f26e4197dcd4f885e4dac029140","observation_id":"35ea067c-c7bd-483f-ab33-c61f6560f63b","resolution":{"observed_at":"2026-08-11T11:01:32.244158Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.189192Z","title":null,"venue":null,"work_id":"d647b162-86ec-49a7-ac0f-aacdcea7c612","year":2010},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.794747Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:8e7e33153ca4c5b5633d34ab7458d575db510eeb9768df6a69162f5679363f46","observation_id":"6ab91d4b-11ef-4487-bd95-ebba8e91d36d","resolution":{"observed_at":"2026-08-11T11:01:32.206008Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.150657Z","title":null,"venue":null,"work_id":"8778afa2-5a93-4913-a844-bca4536e0526","year":2010},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.804979Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:ade2226ad9bd029496f8b49085f2baebabb4efe5aace0901cf00ee488e832503","observation_id":"3c0dfc95-3861-4731-9c17-ed304752634f","resolution":{"observed_at":"2026-08-11T11:01:32.164864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.113390Z","title":"B., The theory of homogeneous convex cones","venue":null,"work_id":"4f91655c-13f6-4699-a73b-61f4bcc027a7","year":1961},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.812892Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:0fd063956fb5edc28c5e689f4de24220cad1a026c88afdbaec526cf9ab1c2e63","observation_id":"f16e9a4b-8704-49a6-936c-a955715bbef1","resolution":{"observed_at":"2026-08-11T11:01:32.125179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T11:01:32.088027Z","title":null,"venue":null,"work_id":"a9e56925-5422-4685-b70d-f6ac87528d45","year":2015},"citing_paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T11:01:31.818942Z"},"links":{"citing_paper":"/paper/2412.16273"},"observation_digest":"sha256:c31cebaf549d15c9a0663f0d70b0aa481ac7af3eb895a03c12cc597d55504b65","observation_id":"6dfe575c-87e3-41e6-8734-1a7a33fe18ab","resolution":{"observed_at":"2026-08-11T11:01:32.094235Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.16273","last_updated":"2024-12-20T15:57:58Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-08-15T00:39:29.495527Z","submitted_at":"2024-12-20T15:57:58Z","title":"Compatible anti-pre-Lie algebras"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":3,"verified_fuzzy":5},"total_outbound_references":24},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2412.16273."}