{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LM6XG5ASXLV5R6GDUCI7AYYZO5","short_pith_number":"pith:LM6XG5AS","canonical_record":{"source":{"id":"2403.10525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-01-13T15:25:05Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"54cba0b4c8c23d5a220e2d2ec5512c9c1cb2172679aa2c41a44f9592629d90e0","abstract_canon_sha256":"71f39bbeabb791a85f6fe346ffea83d5da4013d21fbd7c9a6ed4d93c8334b30b"},"schema_version":"1.0"},"canonical_sha256":"5b3d737412baebd8f8c3a091f06319774e14ecd0b7245476a8f4d838d7363c27","source":{"kind":"arxiv","id":"2403.10525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10525","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10525v1","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10525","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_12","alias_value":"LM6XG5ASXLV5","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_16","alias_value":"LM6XG5ASXLV5R6GD","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_8","alias_value":"LM6XG5AS","created_at":"2026-07-05T07:57:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LM6XG5ASXLV5R6GDUCI7AYYZO5","target":"record","payload":{"canonical_record":{"source":{"id":"2403.10525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-01-13T15:25:05Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"54cba0b4c8c23d5a220e2d2ec5512c9c1cb2172679aa2c41a44f9592629d90e0","abstract_canon_sha256":"71f39bbeabb791a85f6fe346ffea83d5da4013d21fbd7c9a6ed4d93c8334b30b"},"schema_version":"1.0"},"canonical_sha256":"5b3d737412baebd8f8c3a091f06319774e14ecd0b7245476a8f4d838d7363c27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:57:02.582485Z","signature_b64":"ameXBM1/AnbYLqHuCjW0ji2j2Liz93WuiDfG5BqBQXoBoaxcUY/r+ik2ozKOtqQ6Dk8pgaAz3xT02ssbD09rAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b3d737412baebd8f8c3a091f06319774e14ecd0b7245476a8f4d838d7363c27","last_reissued_at":"2026-07-05T07:57:02.582091Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:57:02.582091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.10525","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":"2026-07-05T07:57:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uc7wDalIEMShHdq7WzFsS5ezpYmQa4YVhCMVnPc5hlXA7toG/7lxtKpP0G158VQNxL+zJ3h2+J4+X4uIYYJRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T04:24:43.885043Z"},"content_sha256":"d1363696957d04eaca81380f15beffb6a9a5220ffbb46fe79afa0c59cb5ac623","schema_version":"1.0","event_id":"sha256:d1363696957d04eaca81380f15beffb6a9a5220ffbb46fe79afa0c59cb5ac623"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LM6XG5ASXLV5R6GDUCI7AYYZO5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Corrigendum to \"$m$-Periodic Gorenstein objects\" [J. Algebra 621 (2023)]","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.RT","authors_text":"M. A. P\\'erez, Mindy Y. Huerta, Octavio Mendoza","submitted_at":"2024-01-13T15:25:05Z","abstract_excerpt":"Let $(\\mathcal{A,B})$ be a GP-admissible pair and $(\\mathcal{Z,W})$ be a GI-admissible pair of classes of objects in an abelian category $\\mathcal{C}$, and consider the class $\\pi\\mathcal{GP}_{(\\omega,\\mathcal{B},1)}$ of $1$-periodic $(\\omega,\\mathcal{B})$-Gorenstein projective objects, where $\\omega := \\mathcal{A} \\cap \\mathcal{B}$ and $\\nu := \\mathcal{Z} \\cap \\mathcal{W}$. We claimed in \\cite[Lem. 8.1]{HMP2023m} that the $(\\mathcal{Z,W})$-Gorenstein injective dimension of $\\pi\\mathcal{GP}_{(\\omega,\\mathcal{B},1)}$ is bounded by the $(\\mathcal{Z,W})$-Gorenstein injective dimension of $\\omega$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10525","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.10525/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":"2026-07-05T07:57:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6O5G2Zq820zOwOQGfJDcbG/wItvcqyteoQVQyOL/9Q+xRHoxMnmbCdl7yg6SN63QQnybYP/kzux0hiQ1wOGjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T04:24:43.885626Z"},"content_sha256":"f9c100978690f7ff52a0da50120e946ced8f03c66f7f2bab8d8b746eb8e74402","schema_version":"1.0","event_id":"sha256:f9c100978690f7ff52a0da50120e946ced8f03c66f7f2bab8d8b746eb8e74402"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/bundle.json","state_url":"https://pith.science/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/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":"2026-08-01T04:24:43Z","links":{"resolver":"https://pith.science/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5","bundle":"https://pith.science/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/bundle.json","state":"https://pith.science/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LM6XG5ASXLV5R6GDUCI7AYYZO5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LM6XG5ASXLV5R6GDUCI7AYYZO5","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":"71f39bbeabb791a85f6fe346ffea83d5da4013d21fbd7c9a6ed4d93c8334b30b","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-01-13T15:25:05Z","title_canon_sha256":"54cba0b4c8c23d5a220e2d2ec5512c9c1cb2172679aa2c41a44f9592629d90e0"},"schema_version":"1.0","source":{"id":"2403.10525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.10525","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"arxiv_version","alias_value":"2403.10525v1","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.10525","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_12","alias_value":"LM6XG5ASXLV5","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_16","alias_value":"LM6XG5ASXLV5R6GD","created_at":"2026-07-05T07:57:02Z"},{"alias_kind":"pith_short_8","alias_value":"LM6XG5AS","created_at":"2026-07-05T07:57:02Z"}],"graph_snapshots":[{"event_id":"sha256:f9c100978690f7ff52a0da50120e946ced8f03c66f7f2bab8d8b746eb8e74402","target":"graph","created_at":"2026-07-05T07:57:02Z","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/2403.10525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $(\\mathcal{A,B})$ be a GP-admissible pair and $(\\mathcal{Z,W})$ be a GI-admissible pair of classes of objects in an abelian category $\\mathcal{C}$, and consider the class $\\pi\\mathcal{GP}_{(\\omega,\\mathcal{B},1)}$ of $1$-periodic $(\\omega,\\mathcal{B})$-Gorenstein projective objects, where $\\omega := \\mathcal{A} \\cap \\mathcal{B}$ and $\\nu := \\mathcal{Z} \\cap \\mathcal{W}$. We claimed in \\cite[Lem. 8.1]{HMP2023m} that the $(\\mathcal{Z,W})$-Gorenstein injective dimension of $\\pi\\mathcal{GP}_{(\\omega,\\mathcal{B},1)}$ is bounded by the $(\\mathcal{Z,W})$-Gorenstein injective dimension of $\\omega$","authors_text":"M. A. P\\'erez, Mindy Y. Huerta, Octavio Mendoza","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-01-13T15:25:05Z","title":"Corrigendum to \"$m$-Periodic Gorenstein objects\" [J. Algebra 621 (2023)]"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.10525","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:d1363696957d04eaca81380f15beffb6a9a5220ffbb46fe79afa0c59cb5ac623","target":"record","created_at":"2026-07-05T07:57:02Z","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":"71f39bbeabb791a85f6fe346ffea83d5da4013d21fbd7c9a6ed4d93c8334b30b","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2024-01-13T15:25:05Z","title_canon_sha256":"54cba0b4c8c23d5a220e2d2ec5512c9c1cb2172679aa2c41a44f9592629d90e0"},"schema_version":"1.0","source":{"id":"2403.10525","kind":"arxiv","version":1}},"canonical_sha256":"5b3d737412baebd8f8c3a091f06319774e14ecd0b7245476a8f4d838d7363c27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b3d737412baebd8f8c3a091f06319774e14ecd0b7245476a8f4d838d7363c27","first_computed_at":"2026-07-05T07:57:02.582091Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:57:02.582091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ameXBM1/AnbYLqHuCjW0ji2j2Liz93WuiDfG5BqBQXoBoaxcUY/r+ik2ozKOtqQ6Dk8pgaAz3xT02ssbD09rAg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:57:02.582485Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.10525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1363696957d04eaca81380f15beffb6a9a5220ffbb46fe79afa0c59cb5ac623","sha256:f9c100978690f7ff52a0da50120e946ced8f03c66f7f2bab8d8b746eb8e74402"],"state_sha256":"7fcc6adb4c2c837425e3394a75dbafa7a92289722eecadd13248d5a0412c7cb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bGCrd4MN+czXuCLNA8jsBjRstxMCZznPQMPDLA5JSMCwJmm5ujEFvqdV2plNojcE7qO7mbN3x92fBUdrMMTiCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T04:24:43.890924Z","bundle_sha256":"d4af99943cac888cfd3d55a8cb4dcf53434c9df92d3e0312f292fb0a800bc520"}}