{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NBWA3GO2RWTOFKCTPN2HEG4F7S","short_pith_number":"pith:NBWA3GO2","canonical_record":{"source":{"id":"1212.3956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-17T11:03:30Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7d38c14d3c250fbfa8850d1c25ae2a31c54d3f1e2f8518f28eb04c5045c940af","abstract_canon_sha256":"85699d8c1733c50fee39610b715aa1ef7fe1e41588e05c643d690d51f11eb8ef"},"schema_version":"1.0"},"canonical_sha256":"686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917","source":{"kind":"arxiv","id":"1212.3956","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3956","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3956v2","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3956","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"pith_short_12","alias_value":"NBWA3GO2RWTO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NBWA3GO2RWTOFKCT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NBWA3GO2","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NBWA3GO2RWTOFKCTPN2HEG4F7S","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3956","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-17T11:03:30Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"7d38c14d3c250fbfa8850d1c25ae2a31c54d3f1e2f8518f28eb04c5045c940af","abstract_canon_sha256":"85699d8c1733c50fee39610b715aa1ef7fe1e41588e05c643d690d51f11eb8ef"},"schema_version":"1.0"},"canonical_sha256":"686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:04.331558Z","signature_b64":"BL+VlxCNG5HTs1v9Bd+syrwbU8mLvyQq/C7Tm9IEf9Zw5emUpT0XgodnwJBIZCYGdkVmnmkWCJDsmISdRGoyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917","last_reissued_at":"2026-05-18T02:55:04.330912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:04.330912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3956","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wj/mhP4yfSP6F9yd2JHENaE80A8uicU2LZ2wucKEFVxLb4j87ZmC154H4+as3VRVk7i5s0w0Z/DU79NKTY88Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:51:22.681125Z"},"content_sha256":"1bcc1fa9ec963a79b068a9bf0d1a0b15206ee9d05ee8fcb9ffc7f3091d6e7cf7","schema_version":"1.0","event_id":"sha256:1bcc1fa9ec963a79b068a9bf0d1a0b15206ee9d05ee8fcb9ffc7f3091d6e7cf7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NBWA3GO2RWTOFKCTPN2HEG4F7S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On quasicoherent sheaves on toric schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Fred Rohrer","submitted_at":"2012-12-17T11:03:30Z","abstract_excerpt":"A correspondence between quasicoherent sheaves on toric schemes and graded modules over some homogeneous coordinate ring is presented, and the behaviour of several finiteness properties under this correspondence is investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3956","kind":"arxiv","version":2},"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":"2026-05-18T02:55:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/69IgYNmSPYOZ6hasjOJ4dhWXkydTlspwk5xxQ1A9lV5XqtsVXElMwHYqzAPVS3VsymvlrPjcurSDNhAmgPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:51:22.681495Z"},"content_sha256":"c7af26210a784372336cfd21edd1c1d0baf3eceb2dc86ebb541258393bf1e605","schema_version":"1.0","event_id":"sha256:c7af26210a784372336cfd21edd1c1d0baf3eceb2dc86ebb541258393bf1e605"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/bundle.json","state_url":"https://pith.science/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/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":"2026-06-05T18:51:22Z","links":{"resolver":"https://pith.science/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S","bundle":"https://pith.science/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/bundle.json","state":"https://pith.science/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBWA3GO2RWTOFKCTPN2HEG4F7S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NBWA3GO2RWTOFKCTPN2HEG4F7S","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":"85699d8c1733c50fee39610b715aa1ef7fe1e41588e05c643d690d51f11eb8ef","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-17T11:03:30Z","title_canon_sha256":"7d38c14d3c250fbfa8850d1c25ae2a31c54d3f1e2f8518f28eb04c5045c940af"},"schema_version":"1.0","source":{"id":"1212.3956","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3956","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3956v2","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3956","created_at":"2026-05-18T02:55:04Z"},{"alias_kind":"pith_short_12","alias_value":"NBWA3GO2RWTO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NBWA3GO2RWTOFKCT","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NBWA3GO2","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:c7af26210a784372336cfd21edd1c1d0baf3eceb2dc86ebb541258393bf1e605","target":"graph","created_at":"2026-05-18T02:55:04Z","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":"A correspondence between quasicoherent sheaves on toric schemes and graded modules over some homogeneous coordinate ring is presented, and the behaviour of several finiteness properties under this correspondence is investigated.","authors_text":"Fred Rohrer","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-17T11:03:30Z","title":"On quasicoherent sheaves on toric schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3956","kind":"arxiv","version":2},"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":"sha256:1bcc1fa9ec963a79b068a9bf0d1a0b15206ee9d05ee8fcb9ffc7f3091d6e7cf7","target":"record","created_at":"2026-05-18T02:55:04Z","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":"85699d8c1733c50fee39610b715aa1ef7fe1e41588e05c643d690d51f11eb8ef","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-17T11:03:30Z","title_canon_sha256":"7d38c14d3c250fbfa8850d1c25ae2a31c54d3f1e2f8518f28eb04c5045c940af"},"schema_version":"1.0","source":{"id":"1212.3956","kind":"arxiv","version":2}},"canonical_sha256":"686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"686c0d99da8da6e2a8537b74721b85fcb6b052ba955f7c7127bc8365d5f6b917","first_computed_at":"2026-05-18T02:55:04.330912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:04.330912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BL+VlxCNG5HTs1v9Bd+syrwbU8mLvyQq/C7Tm9IEf9Zw5emUpT0XgodnwJBIZCYGdkVmnmkWCJDsmISdRGoyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:04.331558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3956","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bcc1fa9ec963a79b068a9bf0d1a0b15206ee9d05ee8fcb9ffc7f3091d6e7cf7","sha256:c7af26210a784372336cfd21edd1c1d0baf3eceb2dc86ebb541258393bf1e605"],"state_sha256":"6044040cd7e0d37337f2f124564523d7089663f99f530114c17634eee5025edd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rs0w42lznkfBnaOzg//tgy/R4SDcG05i0YcKERUwEpsnprI3qRHcfl09YApMUXUOpnzXinwlZaiEERb7ECzJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:51:22.683472Z","bundle_sha256":"20db7f8532badab0d6f95f39158c6b91b2e0d1afa0771a05d837c32f55f0b632"}}