{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:D5PCGCOIPOXBU7KHZGWKYLZT6Z","short_pith_number":"pith:D5PCGCOI","canonical_record":{"source":{"id":"2306.16673","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T04:13:15Z","cross_cats_sorted":[],"title_canon_sha256":"e578dc7b9fb1e26d49af9b35a67e33478df3297a3409287eb492c247bcc9cfa1","abstract_canon_sha256":"cf0959232a8d10a99feaed5701a7b276ca89699a61d90a6d0709cf49d4838a8f"},"schema_version":"1.0"},"canonical_sha256":"1f5e2309c87bae1a7d47c9acac2f33f648a1c2aed02d26dd4ebad5841e9965ec","source":{"kind":"arxiv","id":"2306.16673","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.16673","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"arxiv_version","alias_value":"2306.16673v4","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.16673","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_12","alias_value":"D5PCGCOIPOXB","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_16","alias_value":"D5PCGCOIPOXBU7KH","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_8","alias_value":"D5PCGCOI","created_at":"2026-07-05T10:07:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:D5PCGCOIPOXBU7KHZGWKYLZT6Z","target":"record","payload":{"canonical_record":{"source":{"id":"2306.16673","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T04:13:15Z","cross_cats_sorted":[],"title_canon_sha256":"e578dc7b9fb1e26d49af9b35a67e33478df3297a3409287eb492c247bcc9cfa1","abstract_canon_sha256":"cf0959232a8d10a99feaed5701a7b276ca89699a61d90a6d0709cf49d4838a8f"},"schema_version":"1.0"},"canonical_sha256":"1f5e2309c87bae1a7d47c9acac2f33f648a1c2aed02d26dd4ebad5841e9965ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:07:38.102296Z","signature_b64":"Hh02m4amgwVUzbWO6GH5oDAT6BIaqPc4AsUx2Y/Gm/BeS2sNTidGrFXcZ042lJeYjY6A7/3uInz62aG26e9LCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f5e2309c87bae1a7d47c9acac2f33f648a1c2aed02d26dd4ebad5841e9965ec","last_reissued_at":"2026-07-05T10:07:38.101816Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:07:38.101816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.16673","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:07:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KrlHmIqyG2+R22la5cofNdLGfD7vQ5xv/p7wgbAqGdwUlt9hpyUleE33k3GqiqBWHMcNFSEK1eZzHooPaiIjAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:40:27.711881Z"},"content_sha256":"b5805be3ad8bda4e44a0f7c5cc3b38d2ca010a76a236b90ca90d3b394982cdfe","schema_version":"1.0","event_id":"sha256:b5805be3ad8bda4e44a0f7c5cc3b38d2ca010a76a236b90ca90d3b394982cdfe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:D5PCGCOIPOXBU7KHZGWKYLZT6Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global dimension of the derived category of an orbifold projective line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Takumi Otani","submitted_at":"2023-06-29T04:13:15Z","abstract_excerpt":"The global dimension of a triangulated category is defined to be the infimum value of the global dimensions of stability conditions on the triangulated category. In this paper, we study the global dimension of the derived category of an orbifold projective line."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.16673","kind":"arxiv","version":4},"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/2306.16673/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":"2026-07-05T10:07:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fzpUfRTrpS553paDuR+OAi4ZcQEWtt0mnKRwUFcIwF/gQEjHQZajqshQJIs0bEVdn7goVtGw8BZjkjGQ9gz3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T13:40:27.716740Z"},"content_sha256":"407c16887797aa3b00e013102b447faa87a9d004e6554e8664f80f1cdcb73dfa","schema_version":"1.0","event_id":"sha256:407c16887797aa3b00e013102b447faa87a9d004e6554e8664f80f1cdcb73dfa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/bundle.json","state_url":"https://pith.science/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/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":"2026-08-11T13:40:27Z","links":{"resolver":"https://pith.science/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z","bundle":"https://pith.science/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/bundle.json","state":"https://pith.science/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5PCGCOIPOXBU7KHZGWKYLZT6Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:D5PCGCOIPOXBU7KHZGWKYLZT6Z","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":"cf0959232a8d10a99feaed5701a7b276ca89699a61d90a6d0709cf49d4838a8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T04:13:15Z","title_canon_sha256":"e578dc7b9fb1e26d49af9b35a67e33478df3297a3409287eb492c247bcc9cfa1"},"schema_version":"1.0","source":{"id":"2306.16673","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.16673","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"arxiv_version","alias_value":"2306.16673v4","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.16673","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_12","alias_value":"D5PCGCOIPOXB","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_16","alias_value":"D5PCGCOIPOXBU7KH","created_at":"2026-07-05T10:07:38Z"},{"alias_kind":"pith_short_8","alias_value":"D5PCGCOI","created_at":"2026-07-05T10:07:38Z"}],"graph_snapshots":[{"event_id":"sha256:407c16887797aa3b00e013102b447faa87a9d004e6554e8664f80f1cdcb73dfa","target":"graph","created_at":"2026-07-05T10:07:38Z","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/2306.16673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The global dimension of a triangulated category is defined to be the infimum value of the global dimensions of stability conditions on the triangulated category. In this paper, we study the global dimension of the derived category of an orbifold projective line.","authors_text":"Takumi Otani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T04:13:15Z","title":"Global dimension of the derived category of an orbifold projective line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.16673","kind":"arxiv","version":4},"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:b5805be3ad8bda4e44a0f7c5cc3b38d2ca010a76a236b90ca90d3b394982cdfe","target":"record","created_at":"2026-07-05T10:07:38Z","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":"cf0959232a8d10a99feaed5701a7b276ca89699a61d90a6d0709cf49d4838a8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-06-29T04:13:15Z","title_canon_sha256":"e578dc7b9fb1e26d49af9b35a67e33478df3297a3409287eb492c247bcc9cfa1"},"schema_version":"1.0","source":{"id":"2306.16673","kind":"arxiv","version":4}},"canonical_sha256":"1f5e2309c87bae1a7d47c9acac2f33f648a1c2aed02d26dd4ebad5841e9965ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f5e2309c87bae1a7d47c9acac2f33f648a1c2aed02d26dd4ebad5841e9965ec","first_computed_at":"2026-07-05T10:07:38.101816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:07:38.101816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hh02m4amgwVUzbWO6GH5oDAT6BIaqPc4AsUx2Y/Gm/BeS2sNTidGrFXcZ042lJeYjY6A7/3uInz62aG26e9LCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:07:38.102296Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.16673","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5805be3ad8bda4e44a0f7c5cc3b38d2ca010a76a236b90ca90d3b394982cdfe","sha256:407c16887797aa3b00e013102b447faa87a9d004e6554e8664f80f1cdcb73dfa"],"state_sha256":"4c5ffcd58e3050438fcac8939edd510b71823c1b0d3a9a1fef84e742695427f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JqCQ28RlbTm8mUBUF9pmhBTOvR6bduhbT5oClf4/OrJry9yhjd801r+JksOLjvhIiAr89lm2rrAjxW9h8aYXCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T13:40:27.728208Z","bundle_sha256":"b84ede7f903ed7dc4b9d507d13af4282b6ab544fb0a708ec9d681e3217efe75f"}}