{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:C7S7XONLK5QJDEUV5NSK3LJ5SH","short_pith_number":"pith:C7S7XONL","canonical_record":{"source":{"id":"0712.1083","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-07T07:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"70ef8f0910a9333b0405cf3ad00e7cb1a0024c67e62fe002aef823630a372b2a","abstract_canon_sha256":"7eb66bf996796e7986f827c11c10c82bf829f4f80a861fa2ce3c5b2ce53131c5"},"schema_version":"1.0"},"canonical_sha256":"17e5fbb9ab5760919295eb64adad3d91db6b462bd7993b3d9a038784c469f3e2","source":{"kind":"arxiv","id":"0712.1083","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.1083","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"0712.1083v3","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1083","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"C7S7XONLK5QJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"C7S7XONLK5QJDEUV","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"C7S7XONL","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:C7S7XONLK5QJDEUV5NSK3LJ5SH","target":"record","payload":{"canonical_record":{"source":{"id":"0712.1083","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-07T07:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"70ef8f0910a9333b0405cf3ad00e7cb1a0024c67e62fe002aef823630a372b2a","abstract_canon_sha256":"7eb66bf996796e7986f827c11c10c82bf829f4f80a861fa2ce3c5b2ce53131c5"},"schema_version":"1.0"},"canonical_sha256":"17e5fbb9ab5760919295eb64adad3d91db6b462bd7993b3d9a038784c469f3e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:19.280532Z","signature_b64":"vOSx0aQdi5cLQmLMtEO/EM99zXSkmDshW6ukatfQ6Msx7mUt7Sh81ALSoQ5hE4uD8mcb+luSy7jZVFwJHM1uBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"17e5fbb9ab5760919295eb64adad3d91db6b462bd7993b3d9a038784c469f3e2","last_reissued_at":"2026-05-18T02:38:19.280018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:19.280018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.1083","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/T9+MpB2GXRpS63hDUSCnucwo/byRTRPLXjUCPhMvOe0VrfQOV7FNIobOsKLitjnuCZK+oQCEwgAJ8PuIJThDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:00:33.881353Z"},"content_sha256":"1fc67431daf23719014176086fb7d2e9a92cef4698471c37a5d67768eef68565","schema_version":"1.0","event_id":"sha256:1fc67431daf23719014176086fb7d2e9a92cef4698471c37a5d67768eef68565"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:C7S7XONLK5QJDEUV5NSK3LJ5SH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polynomial Bridgeland stability conditions and the large volume limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Arend Bayer","submitted_at":"2007-12-07T07:02:25Z","abstract_excerpt":"We introduce the notion of a polynomial stability condition, generalizing Bridgeland stability conditions on triangulated categories. We construct and study a family of polynomial stability conditions for any normal projective variety. This family includes both Simpson-stability, and large volume limits of Bridgeland stability conditions.\n  We show that the PT/DT-correspondence relating stable pairs to Donaldson-Thomas invariants (conjectured by Pandharipande and Thomas) can be understood as a wall-crossing in our family of polynomial stability conditions. Similarly, we show that the relation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1083","kind":"arxiv","version":3},"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":"2026-05-18T02:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x5biUWAZ6wEfCD6BUe1/SCd0rrc6xU1L/N5D5ZFcASIDD3WPgo1ENGwr+BL0UvW1kJb/Uf0QbgSjvicywCw8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:00:33.881697Z"},"content_sha256":"e0430b0a44274267ecd5d053b87f1219760cad6d3fa924a6cde87fb09dd9655e","schema_version":"1.0","event_id":"sha256:e0430b0a44274267ecd5d053b87f1219760cad6d3fa924a6cde87fb09dd9655e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/bundle.json","state_url":"https://pith.science/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/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":"2026-06-01T01:00:33Z","links":{"resolver":"https://pith.science/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH","bundle":"https://pith.science/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/bundle.json","state":"https://pith.science/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C7S7XONLK5QJDEUV5NSK3LJ5SH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:C7S7XONLK5QJDEUV5NSK3LJ5SH","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":"7eb66bf996796e7986f827c11c10c82bf829f4f80a861fa2ce3c5b2ce53131c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-07T07:02:25Z","title_canon_sha256":"70ef8f0910a9333b0405cf3ad00e7cb1a0024c67e62fe002aef823630a372b2a"},"schema_version":"1.0","source":{"id":"0712.1083","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.1083","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"0712.1083v3","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1083","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"C7S7XONLK5QJ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"C7S7XONLK5QJDEUV","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"C7S7XONL","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:e0430b0a44274267ecd5d053b87f1219760cad6d3fa924a6cde87fb09dd9655e","target":"graph","created_at":"2026-05-18T02:38:19Z","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 introduce the notion of a polynomial stability condition, generalizing Bridgeland stability conditions on triangulated categories. We construct and study a family of polynomial stability conditions for any normal projective variety. This family includes both Simpson-stability, and large volume limits of Bridgeland stability conditions.\n  We show that the PT/DT-correspondence relating stable pairs to Donaldson-Thomas invariants (conjectured by Pandharipande and Thomas) can be understood as a wall-crossing in our family of polynomial stability conditions. Similarly, we show that the relation ","authors_text":"Arend Bayer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-07T07:02:25Z","title":"Polynomial Bridgeland stability conditions and the large volume limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1083","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":"sha256:1fc67431daf23719014176086fb7d2e9a92cef4698471c37a5d67768eef68565","target":"record","created_at":"2026-05-18T02:38:19Z","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":"7eb66bf996796e7986f827c11c10c82bf829f4f80a861fa2ce3c5b2ce53131c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-12-07T07:02:25Z","title_canon_sha256":"70ef8f0910a9333b0405cf3ad00e7cb1a0024c67e62fe002aef823630a372b2a"},"schema_version":"1.0","source":{"id":"0712.1083","kind":"arxiv","version":3}},"canonical_sha256":"17e5fbb9ab5760919295eb64adad3d91db6b462bd7993b3d9a038784c469f3e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17e5fbb9ab5760919295eb64adad3d91db6b462bd7993b3d9a038784c469f3e2","first_computed_at":"2026-05-18T02:38:19.280018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:19.280018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vOSx0aQdi5cLQmLMtEO/EM99zXSkmDshW6ukatfQ6Msx7mUt7Sh81ALSoQ5hE4uD8mcb+luSy7jZVFwJHM1uBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:19.280532Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.1083","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc67431daf23719014176086fb7d2e9a92cef4698471c37a5d67768eef68565","sha256:e0430b0a44274267ecd5d053b87f1219760cad6d3fa924a6cde87fb09dd9655e"],"state_sha256":"b00b5cafd0a7e8afaf090d4c62cb0f18b4caad4f5e3e599ff3d5297d2b037a49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z3S+dyU/kbhrmNzumRClSiKQenW7BGRWHfrnIPSduSOI3+AQA87S4TMMDOtF2xUC2OMRsC20MHxM5P5rLDMeCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:00:33.884060Z","bundle_sha256":"549a647ac0cc0cf0003401ac19e138381d13ad7deb76a365ab02428e9b778978"}}