{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YKNGBQHZGY6AURM3O46XZRW4Q4","short_pith_number":"pith:YKNGBQHZ","canonical_record":{"source":{"id":"1107.2102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-11T19:35:22Z","cross_cats_sorted":[],"title_canon_sha256":"3da94c5ddb7932842455173246fd67d76096477e91811a4e576a17146361fc07","abstract_canon_sha256":"cd9d47d741e03b0c691230a509179f8586a4bbf0516a89d4e5435865d9d7081a"},"schema_version":"1.0"},"canonical_sha256":"c29a60c0f9363c0a459b773d7cc6dc8717f08a025442b076e05333a2a1a94096","source":{"kind":"arxiv","id":"1107.2102","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2102","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2102v1","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2102","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"YKNGBQHZGY6A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YKNGBQHZGY6AURM3","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YKNGBQHZ","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YKNGBQHZGY6AURM3O46XZRW4Q4","target":"record","payload":{"canonical_record":{"source":{"id":"1107.2102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-11T19:35:22Z","cross_cats_sorted":[],"title_canon_sha256":"3da94c5ddb7932842455173246fd67d76096477e91811a4e576a17146361fc07","abstract_canon_sha256":"cd9d47d741e03b0c691230a509179f8586a4bbf0516a89d4e5435865d9d7081a"},"schema_version":"1.0"},"canonical_sha256":"c29a60c0f9363c0a459b773d7cc6dc8717f08a025442b076e05333a2a1a94096","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:33.490676Z","signature_b64":"v8Y6ypWvckPMUbew3q9/FJafOc91kaIAI7J4dbdoOgRuNnzUGKrDBpItJqcsVCQcbc4TmybUTKvXT0IDLEQAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c29a60c0f9363c0a459b773d7cc6dc8717f08a025442b076e05333a2a1a94096","last_reissued_at":"2026-05-18T04:18:33.490017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:33.490017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.2102","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWmcfy0tbdH7BkAB7SLXffhZnRxXogSQJvN9bolOQy2oHDGY9Dg1CL6F56cOcuRpPbfWJizqqSF4BGmeDbpLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:09:11.049950Z"},"content_sha256":"39363efd77d029a86ad60e5af6adb07288982278a6c0e5c6477e90240ae1e5e0","schema_version":"1.0","event_id":"sha256:39363efd77d029a86ad60e5af6adb07288982278a6c0e5c6477e90240ae1e5e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YKNGBQHZGY6AURM3O46XZRW4Q4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cousin complexes and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Raheleh Jafari","submitted_at":"2011-07-11T19:35:22Z","abstract_excerpt":"In this thesis, the class of modules whose Cousin complexes have finitely generated cohomologies are studied as a subclass of modules which have uniform local cohomological annihilators and it is shown that these two classes coincide over local rings with Cohen-Macaulay formal fibres. This point of view enables us to obtain some properties of modules with finite Cousin complexes and find some characterizations of them.\n  In this connection we discuss attached prime ideals of certain local cohomology modules in terms of cohomologies of Cousin complexes. In continuation, we study the top local c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2102","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T04:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4z/mFbbyNUKQkS8F9QIbrLV0MpPlmVvBhd6/wEctxmzDzJk+kMFbkwIx1vjtnoSxzbran4R7YbS4pL/1U3VZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T07:09:11.050275Z"},"content_sha256":"61780b6bee8f3e1c442a06dd14750baf6e2a29f14c9fa26ca0ea7acf3a9245ee","schema_version":"1.0","event_id":"sha256:61780b6bee8f3e1c442a06dd14750baf6e2a29f14c9fa26ca0ea7acf3a9245ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/bundle.json","state_url":"https://pith.science/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/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":"2026-06-27T07:09:11Z","links":{"resolver":"https://pith.science/pith/YKNGBQHZGY6AURM3O46XZRW4Q4","bundle":"https://pith.science/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/bundle.json","state":"https://pith.science/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKNGBQHZGY6AURM3O46XZRW4Q4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YKNGBQHZGY6AURM3O46XZRW4Q4","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":"cd9d47d741e03b0c691230a509179f8586a4bbf0516a89d4e5435865d9d7081a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-11T19:35:22Z","title_canon_sha256":"3da94c5ddb7932842455173246fd67d76096477e91811a4e576a17146361fc07"},"schema_version":"1.0","source":{"id":"1107.2102","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2102","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2102v1","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2102","created_at":"2026-05-18T04:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"YKNGBQHZGY6A","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YKNGBQHZGY6AURM3","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YKNGBQHZ","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:61780b6bee8f3e1c442a06dd14750baf6e2a29f14c9fa26ca0ea7acf3a9245ee","target":"graph","created_at":"2026-05-18T04:18:33Z","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"},"paper":{"abstract_excerpt":"In this thesis, the class of modules whose Cousin complexes have finitely generated cohomologies are studied as a subclass of modules which have uniform local cohomological annihilators and it is shown that these two classes coincide over local rings with Cohen-Macaulay formal fibres. This point of view enables us to obtain some properties of modules with finite Cousin complexes and find some characterizations of them.\n  In this connection we discuss attached prime ideals of certain local cohomology modules in terms of cohomologies of Cousin complexes. In continuation, we study the top local c","authors_text":"Raheleh Jafari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-11T19:35:22Z","title":"Cousin complexes and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2102","kind":"arxiv","version":1},"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":"sha256:39363efd77d029a86ad60e5af6adb07288982278a6c0e5c6477e90240ae1e5e0","target":"record","created_at":"2026-05-18T04:18:33Z","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":"cd9d47d741e03b0c691230a509179f8586a4bbf0516a89d4e5435865d9d7081a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2011-07-11T19:35:22Z","title_canon_sha256":"3da94c5ddb7932842455173246fd67d76096477e91811a4e576a17146361fc07"},"schema_version":"1.0","source":{"id":"1107.2102","kind":"arxiv","version":1}},"canonical_sha256":"c29a60c0f9363c0a459b773d7cc6dc8717f08a025442b076e05333a2a1a94096","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c29a60c0f9363c0a459b773d7cc6dc8717f08a025442b076e05333a2a1a94096","first_computed_at":"2026-05-18T04:18:33.490017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:33.490017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v8Y6ypWvckPMUbew3q9/FJafOc91kaIAI7J4dbdoOgRuNnzUGKrDBpItJqcsVCQcbc4TmybUTKvXT0IDLEQAAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:33.490676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2102","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39363efd77d029a86ad60e5af6adb07288982278a6c0e5c6477e90240ae1e5e0","sha256:61780b6bee8f3e1c442a06dd14750baf6e2a29f14c9fa26ca0ea7acf3a9245ee"],"state_sha256":"348681f53d778dfdbc94a6087be69b302810d5ab688588f6979bbcf117ed4d6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k4OkVb2LywX2Rz8vj9Q9Yb4PBqRTLM2/qmbx1fRiCybA0ZhFov8KcBpPm6DhQPdBU0Jpj623t92ei1ZwjbSHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T07:09:11.052177Z","bundle_sha256":"d4d3f0ce735b17f87c8f814a99a7fd3fb8048e988a3eff0ff0d9e54a7bf31f92"}}