{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ZSZJQPBDNG34OVBDAZT2PRYNVT","short_pith_number":"pith:ZSZJQPBD","canonical_record":{"source":{"id":"2303.05226","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2023-03-09T13:03:49Z","cross_cats_sorted":[],"title_canon_sha256":"07f1d141d93e3eadaa31fe769f85c4f460df2440f538ad817756a140714a3179","abstract_canon_sha256":"bc56a9174d8896ec51105e8b7a569c1d817a44465cc7a3008a0f232d0f891dac"},"schema_version":"1.0"},"canonical_sha256":"ccb2983c2369b7c754230667a7c70daced223767a375157e2720011778fdf75a","source":{"kind":"arxiv","id":"2303.05226","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.05226","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"2303.05226v3","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.05226","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZSZJQPBDNG34","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZSZJQPBDNG34OVBD","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZSZJQPBD","created_at":"2026-07-05T06:43:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ZSZJQPBDNG34OVBDAZT2PRYNVT","target":"record","payload":{"canonical_record":{"source":{"id":"2303.05226","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2023-03-09T13:03:49Z","cross_cats_sorted":[],"title_canon_sha256":"07f1d141d93e3eadaa31fe769f85c4f460df2440f538ad817756a140714a3179","abstract_canon_sha256":"bc56a9174d8896ec51105e8b7a569c1d817a44465cc7a3008a0f232d0f891dac"},"schema_version":"1.0"},"canonical_sha256":"ccb2983c2369b7c754230667a7c70daced223767a375157e2720011778fdf75a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:43:21.497757Z","signature_b64":"WPixJqIhoDcOwzXwMcJlv4qknl/vvxeuJb2cKcVN8yK56rcb6gEgoKTjtAwKAiCtvu9hoxokSANASxZtI+mCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccb2983c2369b7c754230667a7c70daced223767a375157e2720011778fdf75a","last_reissued_at":"2026-07-05T06:43:21.497344Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:43:21.497344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.05226","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9H7eyfCA96KNZ0WZcnSLBmjvO1EMdZKBbavjym8JdZCJ8q0RC4RC3vtHkwzoZFr6+EPLEFxDsH2VaOOBQQx0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T05:10:18.962368Z"},"content_sha256":"5789a694047a08fdfa46fced0d538e82f5457e824b9a3b6bcfd2c87b00f75ccd","schema_version":"1.0","event_id":"sha256:5789a694047a08fdfa46fced0d538e82f5457e824b9a3b6bcfd2c87b00f75ccd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ZSZJQPBDNG34OVBDAZT2PRYNVT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On thick subcategories of the category of projective presentations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Monica Garcia","submitted_at":"2023-03-09T13:03:49Z","abstract_excerpt":"We study thick subcategories of the category of 2-term complexes of projective modules over an associative algebra. We show that those thick subcategories that have enough injectives are in explicit bijection with 2-term silting complexes and complete cotorsion pairs. We also provide a bijection with left finite wide subcategories of the module category and prove that all these maps are compatible with previously known correspondences. We discuss possible applications to stability conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05226","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.05226/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:43:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SkEAq+qY3hr/tWoHjWFTnDaeZzUDxtvOAQ8PbUaHFHs/345C1bTF3jvm6YmgtEInjjDsGEQ9v0G1cEk1Scq3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T05:10:18.962887Z"},"content_sha256":"2f6c0c2b8c82f3db38cb3ce5877a4975807f7eed46d80487abff2cacb4208b39","schema_version":"1.0","event_id":"sha256:2f6c0c2b8c82f3db38cb3ce5877a4975807f7eed46d80487abff2cacb4208b39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/bundle.json","state_url":"https://pith.science/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T05:10:18Z","links":{"resolver":"https://pith.science/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT","bundle":"https://pith.science/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/bundle.json","state":"https://pith.science/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZSZJQPBDNG34OVBDAZT2PRYNVT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZSZJQPBDNG34OVBDAZT2PRYNVT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bc56a9174d8896ec51105e8b7a569c1d817a44465cc7a3008a0f232d0f891dac","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2023-03-09T13:03:49Z","title_canon_sha256":"07f1d141d93e3eadaa31fe769f85c4f460df2440f538ad817756a140714a3179"},"schema_version":"1.0","source":{"id":"2303.05226","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.05226","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"arxiv_version","alias_value":"2303.05226v3","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.05226","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZSZJQPBDNG34","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZSZJQPBDNG34OVBD","created_at":"2026-07-05T06:43:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZSZJQPBD","created_at":"2026-07-05T06:43:21Z"}],"graph_snapshots":[{"event_id":"sha256:2f6c0c2b8c82f3db38cb3ce5877a4975807f7eed46d80487abff2cacb4208b39","target":"graph","created_at":"2026-07-05T06:43:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2303.05226/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study thick subcategories of the category of 2-term complexes of projective modules over an associative algebra. We show that those thick subcategories that have enough injectives are in explicit bijection with 2-term silting complexes and complete cotorsion pairs. We also provide a bijection with left finite wide subcategories of the module category and prove that all these maps are compatible with previously known correspondences. We discuss possible applications to stability conditions.","authors_text":"Monica Garcia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2023-03-09T13:03:49Z","title":"On thick subcategories of the category of projective presentations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.05226","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5789a694047a08fdfa46fced0d538e82f5457e824b9a3b6bcfd2c87b00f75ccd","target":"record","created_at":"2026-07-05T06:43:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bc56a9174d8896ec51105e8b7a569c1d817a44465cc7a3008a0f232d0f891dac","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2023-03-09T13:03:49Z","title_canon_sha256":"07f1d141d93e3eadaa31fe769f85c4f460df2440f538ad817756a140714a3179"},"schema_version":"1.0","source":{"id":"2303.05226","kind":"arxiv","version":3}},"canonical_sha256":"ccb2983c2369b7c754230667a7c70daced223767a375157e2720011778fdf75a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccb2983c2369b7c754230667a7c70daced223767a375157e2720011778fdf75a","first_computed_at":"2026-07-05T06:43:21.497344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:43:21.497344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WPixJqIhoDcOwzXwMcJlv4qknl/vvxeuJb2cKcVN8yK56rcb6gEgoKTjtAwKAiCtvu9hoxokSANASxZtI+mCCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:43:21.497757Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.05226","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5789a694047a08fdfa46fced0d538e82f5457e824b9a3b6bcfd2c87b00f75ccd","sha256:2f6c0c2b8c82f3db38cb3ce5877a4975807f7eed46d80487abff2cacb4208b39"],"state_sha256":"eae43469501f7d2d46a4a4c98ce63ca2c19d6a9f7775dcc091bd82de889d3bad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gsRzb4uwYa7PauA+AZl4gGjDxOnRIFxOJv2120VBzxQMnVfgLWpitNTjcR03igAxvOrnoGmyw/f71GAMp/1IDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T05:10:18.968904Z","bundle_sha256":"aa2ca1a3d69ea37e3314a76c9c7013ac65ba4becbad68b1c1679b6ef92ddbf44"}}