{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WD2Q6HNWQ5VAYYNCKOLSRYI7IH","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":"07ac4c7eafb8a8c5115fb4bc8e36710ce21cf5c5ebf86826516a22cf7e8e7c99","cross_cats_sorted":["math.CT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-11-10T20:36:51Z","title_canon_sha256":"2d1efd13123bbd1a41fc2f09916b67ce6d05f914b3e59be69749410b1ed9bf13"},"schema_version":"1.0","source":{"id":"math/0411220","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411220","created_at":"2026-07-04T14:58:15Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411220v3","created_at":"2026-07-04T14:58:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411220","created_at":"2026-07-04T14:58:15Z"},{"alias_kind":"pith_short_12","alias_value":"WD2Q6HNWQ5VA","created_at":"2026-07-04T14:58:15Z"},{"alias_kind":"pith_short_16","alias_value":"WD2Q6HNWQ5VAYYNC","created_at":"2026-07-04T14:58:15Z"},{"alias_kind":"pith_short_8","alias_value":"WD2Q6HNW","created_at":"2026-07-04T14:58:15Z"}],"graph_snapshots":[{"event_id":"sha256:a4153b05ee322b6c50f85e1bd29f8b1f750486209150532345e729932ed18374","target":"graph","created_at":"2026-07-04T14:58:15Z","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/math/0411220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"T. Bridgeland defined the notion of a stability manifold for a triangulated category, motivated by Douglas's work on \\Pi-stability for D-branes. We show that the stability manifold of the bounded derived category of the coherent sheaves on P^1 is C^2. This is the first complete picture of a stability manifold for a non-Calabi-Yau manifold.","authors_text":"So Okada","cross_cats":["math.CT"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2004-11-10T20:36:51Z","title":"Stability Manifold of P^1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411220","kind":"arxiv","version":3},"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:cba2f33b2e3dece71781245b8673d5de0f095edc28f28366fd46e4831c273ac9","target":"record","created_at":"2026-07-04T14:58:15Z","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":"07ac4c7eafb8a8c5115fb4bc8e36710ce21cf5c5ebf86826516a22cf7e8e7c99","cross_cats_sorted":["math.CT"],"license":"","primary_cat":"math.AG","submitted_at":"2004-11-10T20:36:51Z","title_canon_sha256":"2d1efd13123bbd1a41fc2f09916b67ce6d05f914b3e59be69749410b1ed9bf13"},"schema_version":"1.0","source":{"id":"math/0411220","kind":"arxiv","version":3}},"canonical_sha256":"b0f50f1db6876a0c61a2539728e11f41f5eb33e12ad4501f4c2b8daecea732c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0f50f1db6876a0c61a2539728e11f41f5eb33e12ad4501f4c2b8daecea732c4","first_computed_at":"2026-07-04T14:58:15.883187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:15.883187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xk/kKRddp3C8UEY84uP+Quu5XVtb/nuZMbpUGRqT3aF8BPFVsYT/Ptt+SaamBu0KD/xByqc/SsGRHmSj5zweAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:15.883537Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0411220","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cba2f33b2e3dece71781245b8673d5de0f095edc28f28366fd46e4831c273ac9","sha256:a4153b05ee322b6c50f85e1bd29f8b1f750486209150532345e729932ed18374"],"state_sha256":"64d47e978fa32e95b8d00fbb4c04a03fe5b9485c057f0667ca5a82f6c2148f30"}