{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OPMBZYSANUFONOXGQYLY6WGKFI","short_pith_number":"pith:OPMBZYSA","canonical_record":{"source":{"id":"1209.2749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-12T23:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"41ee513d169fa5e8df2cf5a27334b4fb347b45271fe8a12de151728b43f859e1","abstract_canon_sha256":"534b90a4ea4a55c04c63a646626402aa59a0664f74efc67b958cdd4c5cabf607"},"schema_version":"1.0"},"canonical_sha256":"73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944","source":{"kind":"arxiv","id":"1209.2749","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2749","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2749v1","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2749","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"OPMBZYSANUFO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OPMBZYSANUFONOXG","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OPMBZYSA","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OPMBZYSANUFONOXGQYLY6WGKFI","target":"record","payload":{"canonical_record":{"source":{"id":"1209.2749","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-12T23:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"41ee513d169fa5e8df2cf5a27334b4fb347b45271fe8a12de151728b43f859e1","abstract_canon_sha256":"534b90a4ea4a55c04c63a646626402aa59a0664f74efc67b958cdd4c5cabf607"},"schema_version":"1.0"},"canonical_sha256":"73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:41.074534Z","signature_b64":"1HeW91SiyBEiksrQ7M1Khav5XJdD+unpBPj1pOwDyqthSAjZ2mxt1ejSZpnC/k74VbVUu08XwaNV1TtClbPQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944","last_reissued_at":"2026-05-18T03:45:41.073936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:41.073936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.2749","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":"2026-05-18T03:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aAhVCY7NSiVdZDpoWSKOwKsQEDWI2R03X7xX752kO4h9y554W+wG7MUfNUohmmGELTH9Pmup4XTaibRltuULAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:59:46.446212Z"},"content_sha256":"0771adc6f6048a1b516356932599ea0e4f90af284e577dbb6ce8b43e5aaad223","schema_version":"1.0","event_id":"sha256:0771adc6f6048a1b516356932599ea0e4f90af284e577dbb6ce8b43e5aaad223"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OPMBZYSANUFONOXGQYLY6WGKFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some examples of tilt-stable objects on threefolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jason Lo, Yogesh More","submitted_at":"2012-09-12T23:07:34Z","abstract_excerpt":"We investigate properties and describe examples of tilt-stable objects on a smooth complex projective threefold. We give a structure theorem on slope semistable sheaves of vanishing discriminant, and describe certain Chern classes for which every slope semistable sheaf yields a Bridgeland semistable object of maximal phase. Then, we study tilt stability as the polarisation $\\omega$ gets large, and give sufficient conditions for tilt-stability of sheaves of the following two forms: 1) twists of ideal sheaves or 2) torsion-free sheaves whose first Chern class is twice a minimum possible value."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2749","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":"2026-05-18T03:45:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zyDWZjCN1LV8Pjotz5v2s2BxpMsgH1NDhkNyAqK9+FZ3VSjPMn/VPnvar4I2pVypcMVjvUdOirD1ZEaaiswHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:59:46.446586Z"},"content_sha256":"f9fd0f0c80629209eea5d0eba8e876834ce06da27d344ad9d144860c40c268f4","schema_version":"1.0","event_id":"sha256:f9fd0f0c80629209eea5d0eba8e876834ce06da27d344ad9d144860c40c268f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OPMBZYSANUFONOXGQYLY6WGKFI/bundle.json","state_url":"https://pith.science/pith/OPMBZYSANUFONOXGQYLY6WGKFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OPMBZYSANUFONOXGQYLY6WGKFI/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":"2026-06-30T09:59:46Z","links":{"resolver":"https://pith.science/pith/OPMBZYSANUFONOXGQYLY6WGKFI","bundle":"https://pith.science/pith/OPMBZYSANUFONOXGQYLY6WGKFI/bundle.json","state":"https://pith.science/pith/OPMBZYSANUFONOXGQYLY6WGKFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OPMBZYSANUFONOXGQYLY6WGKFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OPMBZYSANUFONOXGQYLY6WGKFI","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":"534b90a4ea4a55c04c63a646626402aa59a0664f74efc67b958cdd4c5cabf607","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-12T23:07:34Z","title_canon_sha256":"41ee513d169fa5e8df2cf5a27334b4fb347b45271fe8a12de151728b43f859e1"},"schema_version":"1.0","source":{"id":"1209.2749","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.2749","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"arxiv_version","alias_value":"1209.2749v1","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.2749","created_at":"2026-05-18T03:45:41Z"},{"alias_kind":"pith_short_12","alias_value":"OPMBZYSANUFO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OPMBZYSANUFONOXG","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OPMBZYSA","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:f9fd0f0c80629209eea5d0eba8e876834ce06da27d344ad9d144860c40c268f4","target":"graph","created_at":"2026-05-18T03:45:41Z","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":"We investigate properties and describe examples of tilt-stable objects on a smooth complex projective threefold. We give a structure theorem on slope semistable sheaves of vanishing discriminant, and describe certain Chern classes for which every slope semistable sheaf yields a Bridgeland semistable object of maximal phase. Then, we study tilt stability as the polarisation $\\omega$ gets large, and give sufficient conditions for tilt-stability of sheaves of the following two forms: 1) twists of ideal sheaves or 2) torsion-free sheaves whose first Chern class is twice a minimum possible value.","authors_text":"Jason Lo, Yogesh More","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-12T23:07:34Z","title":"Some examples of tilt-stable objects on threefolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.2749","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":"sha256:0771adc6f6048a1b516356932599ea0e4f90af284e577dbb6ce8b43e5aaad223","target":"record","created_at":"2026-05-18T03:45:41Z","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":"534b90a4ea4a55c04c63a646626402aa59a0664f74efc67b958cdd4c5cabf607","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-09-12T23:07:34Z","title_canon_sha256":"41ee513d169fa5e8df2cf5a27334b4fb347b45271fe8a12de151728b43f859e1"},"schema_version":"1.0","source":{"id":"1209.2749","kind":"arxiv","version":1}},"canonical_sha256":"73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73d81ce2406d0ae6bae686178f58ca2a31b99ae2199ae93d68becd6bee60f944","first_computed_at":"2026-05-18T03:45:41.073936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:41.073936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1HeW91SiyBEiksrQ7M1Khav5XJdD+unpBPj1pOwDyqthSAjZ2mxt1ejSZpnC/k74VbVUu08XwaNV1TtClbPQCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:41.074534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.2749","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0771adc6f6048a1b516356932599ea0e4f90af284e577dbb6ce8b43e5aaad223","sha256:f9fd0f0c80629209eea5d0eba8e876834ce06da27d344ad9d144860c40c268f4"],"state_sha256":"6f4643401e09700c67e3f9ea80a92c27946b686c136a5228285f836b3a962b1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vCngEAbnDTFuIuWaTu55D1l2cqnQySTXZWar+g75iEvgZC6mcVRWj4pkmmbQr0duImhp5zgwfxKXsrVt3iH3DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T09:59:46.448415Z","bundle_sha256":"240956d9adc9b8442651b8da0da7ba79a7be50740a498a6d535c6b5362981209"}}