{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6MZJHQOBWOPQJIL3PXPS6J3YVU","short_pith_number":"pith:6MZJHQOB","canonical_record":{"source":{"id":"1710.10018","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2017-10-27T07:59:54Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6406878beadbd8da0632855e6c0dbc1d9ace981d9cebda2c4ab2eb9e10ef4481","abstract_canon_sha256":"062092f9faeea5059ef1a2da44c72c01899e3f530ea0d88ad749ca4a4d72717a"},"schema_version":"1.0"},"canonical_sha256":"f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede","source":{"kind":"arxiv","id":"1710.10018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10018","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10018v1","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10018","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"6MZJHQOBWOPQ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6MZJHQOBWOPQJIL3","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6MZJHQOB","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6MZJHQOBWOPQJIL3PXPS6J3YVU","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10018","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2017-10-27T07:59:54Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6406878beadbd8da0632855e6c0dbc1d9ace981d9cebda2c4ab2eb9e10ef4481","abstract_canon_sha256":"062092f9faeea5059ef1a2da44c72c01899e3f530ea0d88ad749ca4a4d72717a"},"schema_version":"1.0"},"canonical_sha256":"f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:54.974636Z","signature_b64":"KXuEMumxeprX2vjeMpFi6SvnMpDRoczxrKzw7qNXSXspRwn+D9dI4wd4rH4Ak4MbrfpDdjcg6wyT5bA0LyvVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede","last_reissued_at":"2026-05-18T00:31:54.974205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:54.974205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10018","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":"2026-05-18T00:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJkIqWryxr2hjs+xFh62UdtZjZQIqUIyJGxfqlJ2Vb56ECCqSG43ItcoWyWt2c3UwnFOt1d0//qx+ShpZuL1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:28:38.739064Z"},"content_sha256":"de5b9561a728e48ab2e33b7d1c6470b9ce58af438885569cd3ed7fd6ce360c80","schema_version":"1.0","event_id":"sha256:de5b9561a728e48ab2e33b7d1c6470b9ce58af438885569cd3ed7fd6ce360c80"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6MZJHQOBWOPQJIL3PXPS6J3YVU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AC","authors_text":"Arash Sadeghi, Ryo Takahashi","submitted_at":"2017-10-27T07:59:54Z","abstract_excerpt":"Let R be a commutative Noetherian local ring with residue field k. Let X be a resolving subcategory of finitely generated R-modules. This paper mainly studies when X contains k or consists of totally reflexive modules. It is proved that X does so if X is closed under cosyzygies. A conjecture of Dao and Takahashi is also shown to hold in several cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10018","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":"2026-05-18T00:31:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mhee+8wtV8EYiwDJqF/KN8V/JkA4yAchg2N+YtJqYzEB7wJhG4CcxPz5BzgvsXXVSmhe2klh9hxmRuLtV6OHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:28:38.739421Z"},"content_sha256":"5df8d1b31497e125f8b248225e7e1c55dc6435385d1709cbdc3a069889ca955b","schema_version":"1.0","event_id":"sha256:5df8d1b31497e125f8b248225e7e1c55dc6435385d1709cbdc3a069889ca955b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/bundle.json","state_url":"https://pith.science/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/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":"2026-06-12T00:28:38Z","links":{"resolver":"https://pith.science/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU","bundle":"https://pith.science/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/bundle.json","state":"https://pith.science/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6MZJHQOBWOPQJIL3PXPS6J3YVU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6MZJHQOBWOPQJIL3PXPS6J3YVU","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":"062092f9faeea5059ef1a2da44c72c01899e3f530ea0d88ad749ca4a4d72717a","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2017-10-27T07:59:54Z","title_canon_sha256":"6406878beadbd8da0632855e6c0dbc1d9ace981d9cebda2c4ab2eb9e10ef4481"},"schema_version":"1.0","source":{"id":"1710.10018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10018","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10018v1","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10018","created_at":"2026-05-18T00:31:54Z"},{"alias_kind":"pith_short_12","alias_value":"6MZJHQOBWOPQ","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6MZJHQOBWOPQJIL3","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6MZJHQOB","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:5df8d1b31497e125f8b248225e7e1c55dc6435385d1709cbdc3a069889ca955b","target":"graph","created_at":"2026-05-18T00:31:54Z","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":"Let R be a commutative Noetherian local ring with residue field k. Let X be a resolving subcategory of finitely generated R-modules. This paper mainly studies when X contains k or consists of totally reflexive modules. It is proved that X does so if X is closed under cosyzygies. A conjecture of Dao and Takahashi is also shown to hold in several cases.","authors_text":"Arash Sadeghi, Ryo Takahashi","cross_cats":["math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2017-10-27T07:59:54Z","title":"Resolving subcategories closed under certain operations and a conjecture of Dao and Takahashi"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10018","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:de5b9561a728e48ab2e33b7d1c6470b9ce58af438885569cd3ed7fd6ce360c80","target":"record","created_at":"2026-05-18T00:31:54Z","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":"062092f9faeea5059ef1a2da44c72c01899e3f530ea0d88ad749ca4a4d72717a","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AC","submitted_at":"2017-10-27T07:59:54Z","title_canon_sha256":"6406878beadbd8da0632855e6c0dbc1d9ace981d9cebda2c4ab2eb9e10ef4481"},"schema_version":"1.0","source":{"id":"1710.10018","kind":"arxiv","version":1}},"canonical_sha256":"f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f33293c1c1b39f04a17b7ddf2f2778ad3449cca5038ccf3ea2c3c97bb1a3cede","first_computed_at":"2026-05-18T00:31:54.974205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:54.974205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KXuEMumxeprX2vjeMpFi6SvnMpDRoczxrKzw7qNXSXspRwn+D9dI4wd4rH4Ak4MbrfpDdjcg6wyT5bA0LyvVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:54.974636Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de5b9561a728e48ab2e33b7d1c6470b9ce58af438885569cd3ed7fd6ce360c80","sha256:5df8d1b31497e125f8b248225e7e1c55dc6435385d1709cbdc3a069889ca955b"],"state_sha256":"fe2dc4d1508258d39bf3ec4ae7e430f78214df23705a47491aee3dbb9d013243"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k3oiOqi0dTPj/vZehB018sZgQp5m1W18l9rPbtv/upV7u6o+G/YJCTQLFDKKwfgRLZdYzwd/QRx1+VtZWgToAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:28:38.741342Z","bundle_sha256":"b9bb6de21efcfb8b4e89b336576dc82d145ce8232969ecb7a9da7f5e036e55e2"}}