{"as_of":"2026-08-19T10:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ebdc180f9d04e008d8b37022d293ed4d7f1f033e58bbef7478d51b431f65c74","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T00:51:33.242004Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2412.19380/citation-record","integrity":"/paper/2412.19380/integrity","json":"/paper/2412.19380/citation-record.json","paper":"/paper/2412.19380"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:51:33.678036Z","title":"189, Cambridge Un iversity Press, Cambridge, 1994","venue":null,"work_id":"a2fcb118-bae4-41b3-bbe5-abd510ea6569","year":1994},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.112644Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:139c33d30bc5fb4139acd7a4f582c909da193495360563562896a522d546f36c","observation_id":"862f9b77-a063-48e4-a2c3-7b18f13b68f3","resolution":{"observed_at":"2026-08-11T00:51:33.682402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.664023Z","title":null,"venue":null,"work_id":"6b442c56-1966-42d1-bab0-cfc972a46cdd","year":1993},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.117854Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:327ede0b016ff812474073b0eac4c03476e48ec79267c084cf15c4222f78c8f3","observation_id":"d151f0f3-21e3-4ade-8444-2682a7ebffdd","resolution":{"observed_at":"2026-08-11T00:51:33.668704Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.649691Z","title":null,"venue":null,"work_id":"e358507e-5f81-41b9-997e-449d75906442","year":2024},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.122811Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:93a8d89dbb34a6eee46aadb7d573d6e406115347a5f4c7791a16429fdc4edf86","observation_id":"fe3e89e4-f647-469c-aaba-1233409478b7","resolution":{"observed_at":"2026-08-11T00:51:33.654025Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.635159Z","title":"Bican, R","venue":null,"work_id":"14aad405-884a-4845-82f5-88163c2938f7","year":2001},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.127633Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:71cc000a570008d16f03b8e1f69e4087b85c1b284f19dc1a482b4b6586e8ced1","observation_id":"6cdf54b1-56fb-4504-97a1-4e1be8b682f1","resolution":{"observed_at":"2026-08-11T00:51:33.639818Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2104.08602","last_updated":"2023-12-02T10:15:24Z","snapshot_observed_at":"2026-08-16T18:30:52.503785Z","submitted_at":"2021-04-17T17:53:54Z","title":"The cotorsion pair generated by the Gorenstein projective modules and $\\lambda$-pure-injective modules","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.08602","snapshot_observed_at":"2026-08-11T00:51:33.132917Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.132917Z"},"links":{"cited_paper":"/paper/2104.08602","citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:1689d03de33d8381eebfb72bb49d13d45f5742c399932815a0a2c9869de93297","observation_id":"226c4e34-e31f-4848-86a4-8989fa1f4451","resolution":{"observed_at":"2026-08-11T00:51:33.132917Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:51:33.621549Z","title":null,"venue":null,"work_id":"f303732c-1195-4144-ac04-0096543a7255","year":2022},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.137993Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:5e610057e36eb3f7329f9c77f50ff20051928589888dd2e67d71ebc86d45e8b6","observation_id":"a4556cdb-4a42-46d8-a49b-99740df93983","resolution":{"observed_at":"2026-08-11T00:51:33.625925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.606992Z","title":null,"venue":null,"work_id":"486420e8-cd41-47e0-a152-9f6545970c56","year":2024},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.143169Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:7e4d074920547f96c52c217042bf3cf467de2f9ebc46d701513f0287487b355a","observation_id":"a48593a8-f146-4c5b-aca9-2f40d64a71b9","resolution":{"observed_at":"2026-08-11T00:51:33.611356Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.592570Z","title":"Dickson, A torsion theory for Abelian categories , Trans","venue":null,"work_id":"889a9be4-80c2-4796-aeac-c0193ad70733","year":1966},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.147889Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:1ece711b0773aef02c4f6ac72bf9fcc7596466657d7946ecfc75bc4057afc0f2","observation_id":"953e892e-d721-4212-9a64-b3aadb534744","resolution":{"observed_at":"2026-08-11T00:51:33.597229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.577738Z","title":null,"venue":null,"work_id":"7cc34621-f905-4dcf-af6f-73bd4912825a","year":2009},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.152524Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:0b9711e4f03d0ddf27c779baa7ba0f804d002cba9e69f4c3c8cf55b6f79cc7fc","observation_id":"e8a28809-bfdd-4e5d-89f9-bb2b06f63cf1","resolution":{"observed_at":"2026-08-11T00:51:33.582759Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.563224Z","title":"Eklof and Jan Trlifaj, How to make Ext vanish , Bull","venue":null,"work_id":"a1b8ed15-29c8-47a2-9b08-fcf61bbba5ad","year":2001},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.157048Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:97ba83c986c724ab4ba8dd9eea8c4fa160302d27236835000ddb37f8cdceaafc","observation_id":"a7103950-d8a5-4b1f-b713-05b5201a5305","resolution":{"observed_at":"2026-08-11T00:51:33.567849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.548683Z","title":"Algebra 478 (2017), 174–194","venue":null,"work_id":"b75bf9a3-3ffa-4589-8c91-60a2a242921d","year":2017},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.161651Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:075d86e1774067ae2ec73a5531ca440646a9644a3221befa0d128ac47a58dfd9","observation_id":"5b57c616-12b7-4359-99b9-2a80316829b6","resolution":{"observed_at":"2026-08-11T00:51:33.553375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.534053Z","title":"Enochs and Overtoun M","venue":null,"work_id":"5c888bc3-146f-4746-8cd2-058955f06924","year":1995},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.166315Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:877e3fdab5c10893a3ea153416e30077d8307028fab87ed49fa9ed8413d220d0","observation_id":"56165fab-a3dd-424c-9046-11c46b029666","resolution":{"observed_at":"2026-08-11T00:51:33.538509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.518191Z","title":"30, W alter de Gruyter & Co., Berlin, 2000","venue":null,"work_id":"30e6aab9-9938-4d02-a21b-87713e46dc9c","year":2000},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.170945Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:4647a50465bc017df712d29e88f2791f75b580c28d5ede5cc39cd99f532671e7","observation_id":"37caceee-557f-40bf-8e86-349b9c3137a6","resolution":{"observed_at":"2026-08-11T00:51:33.523356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.503239Z","title":null,"venue":null,"work_id":"506e282a-ef07-4651-b1de-bb918d8e5664","year":2017},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.175583Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:22f0fb5ef8ff77b7be0dbd9aec832ac3509eeace62979ad1599e6d7007f14688","observation_id":"c5209d59-5877-4843-9338-2e235dbaf086","resolution":{"observed_at":"2026-08-11T00:51:33.507428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.488487Z","title":null,"venue":null,"work_id":"229991d0-439f-44f4-8214-e4aa6cad1097","year":2017},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.180090Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:6583444bca03d581a8953f533d6b8d7bb0462447f0321f3a6bf54defed8fffa6","observation_id":"73763e64-8dfb-4e38-aaf0-2279f5ad0bdd","resolution":{"observed_at":"2026-08-11T00:51:33.493217Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.473977Z","title":null,"venue":null,"work_id":"d81adeb2-e2a0-4d48-ae0b-da63b16be9dc","year":2016},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.184494Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:1a5e50671f1cf0e44c51f3268621875d7d211882b2266c16992aacd3991fad2e","observation_id":"317fc1d8-ce1c-4927-8aec-7cb54e5ce217","resolution":{"observed_at":"2026-08-11T00:51:33.478601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.458688Z","title":null,"venue":null,"work_id":"fdf49b31-5227-4585-b90a-ff2ac658e3ed","year":2017},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.189107Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:64f8ea4d3ecbbae525f1e4fa0b854dce9a795170e9ad2bc2de83a9aa3176480a","observation_id":"12c00bc6-0b0b-4f5b-86b2-a9adefb7b47d","resolution":{"observed_at":"2026-08-11T00:51:33.463437Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.444060Z","title":"Algebra 93 (1985), no","venue":null,"work_id":"1166f572-30ee-4a63-aadc-5ea233d6e863","year":1985},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.193623Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:f1a06fe693db3e8bcba1cb24f4581c137304663729665078510e8ebd2d4198e1","observation_id":"1aed3cb3-dff2-4c2c-b27b-2638a50d8113","resolution":{"observed_at":"2026-08-11T00:51:33.448707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.198007Z","title":"Pure Appl","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.198007Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:94795bfeba5811ac84a113779b2bd5b46cff138db7ef226df0f143ab00c76f11","observation_id":"2e3f1fb4-093d-404a-b639-96862ccbd8a8","resolution":{"observed_at":"2026-08-11T00:51:33.198007Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:51:33.419834Z","title":"With a foreword by Sergio Estrada","venue":null,"work_id":"cdb025ef-2575-442b-9aa3-34ecf830cbbb","year":2019},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.202527Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:c338fb744869d88edbfd724b414a29e193e37545db2d980287956ac536f7b343","observation_id":"683ebc70-7326-42b6-a9a4-3e9b53fa01dc","resolution":{"observed_at":"2026-08-11T00:51:33.424387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.404838Z","title":"Algebra 48 (2020), no","venue":null,"work_id":"327fc51f-6539-4bd6-814c-f3f556fd8228","year":2020},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.207445Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:422bfa91ca4ba326d98c6fdae8d6bbc69a717613a26e7977ddbad382f3a65195","observation_id":"84a54a03-295b-4b1e-bb24-1c0634ec4f48","resolution":{"observed_at":"2026-08-11T00:51:33.409806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.389406Z","title":null,"venue":null,"work_id":"b1158b15-6615-4695-8fec-1c5c1cee1178","year":null},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.211881Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:0c039cce5f4b9e89d6d71f2477ce34a011d4a8b574aaaa866722c2a40ea73c28","observation_id":"77cd8141-cc0d-4750-8a9f-dbb109a5836e","resolution":{"observed_at":"2026-08-11T00:51:33.394324Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.363578Z","title":null,"venue":null,"work_id":"f84365f9-e48f-436b-8f00-0187aa9b8f18","year":2007},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.221180Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:1ec25464cdac692a46112339a3279851666179b0e3429b410cf45595f5319446","observation_id":"fbfdfe9f-6b20-40dc-8a1e-c4d80fdefb71","resolution":{"observed_at":"2026-08-11T00:51:33.368752Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.347947Z","title":null,"venue":null,"work_id":"84a984ab-ebb0-49da-91d7-5081963f704c","year":2011},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.225403Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:09ba74082f8e81e0d3b392da6ad8d4d6e374576d52b2fdd713ea57a16dc143ab","observation_id":"e6c33552-fdf8-495f-9e08-3c72e47f7dad","resolution":{"observed_at":"2026-08-11T00:51:33.352428Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.332702Z","title":"Prze´ zdziecki, An almost full embedding of the category of graphs into the ca tegory of abelian groups , Adv","venue":null,"work_id":"ee949dc9-866c-49d9-a6cf-37cad5d7a0b2","year":2014},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.229448Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:01aad491d200e0eb421c2c62ee0a258926b8103de10a78d4da0c723ce18f853a","observation_id":"0c5fe390-abda-4b49-84a3-5dea0bf7332e","resolution":{"observed_at":"2026-08-11T00:51:33.338009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.318518Z","title":null,"venue":null,"work_id":"3b054fe7-455f-4af0-bafa-daebba987416","year":2011},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.233569Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:fc3fdbb48903a2b56617bbb20656ff6453fa1b3e14bd1c3b2da8d1ebb9c7663e","observation_id":"5c6e5b8e-4c5c-4834-b2ba-e29f1e67f0c5","resolution":{"observed_at":"2026-08-11T00:51:33.322894Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.304363Z","title":"Alge- bra 44 (2016), no","venue":null,"work_id":"65433a02-ab5e-4531-9afa-a0c4d26bf307","year":2016},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.237785Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:163163510976d8eb8df5109d770b7263ea9e4d6641645c175072c457a9ce195c","observation_id":"d2de2a9c-cd73-4cb2-b2cc-ea4e95f68a4f","resolution":{"observed_at":"2026-08-11T00:51:33.308819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.288428Z","title":null,"venue":null,"work_id":"9f3ad73a-546f-4cf8-95fb-1800cf2c83dc","year":2020},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.242004Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:987022cfcd392d27e352c714af3ea9926abea5967e962d3675d30416c8a4dd7d","observation_id":"f6087aed-1426-4b7f-9992-4747179acfce","resolution":{"observed_at":"2026-08-11T00:51:33.294103Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T00:51:33.216571Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes","version":3},"reference_index":2003,"source":"pdf_text","source_observed_at":"2026-08-11T00:51:33.216571Z"},"links":{"citing_paper":"/paper/2412.19380"},"observation_digest":"sha256:c9b984fd103a508531fba289df698533f09815fb4eab575acde44c7a994a26ef","observation_id":"15b6f65b-0fe7-4f31-8d4b-08d8cfc758ea","resolution":{"observed_at":"2026-08-11T00:51:33.216571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.19380","last_updated":"2025-05-21T20:51:40Z","latest_version":3,"primary_category":"math.LO","snapshot_observed_at":"2026-08-17T16:23:05.074037Z","submitted_at":"2024-12-26T23:40:45Z","title":"Vop\\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":0,"verified_fuzzy":12},"total_outbound_references":29},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.19380."}