{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:WQIGCXVMULOPERFELQ2L4IKA46","short_pith_number":"pith:WQIGCXVM","canonical_record":{"source":{"id":"0705.3419","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-05-23T16:59:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a927d158915fdb6c440b24c880e6a0dad21465692688d0441e2fdf16bd7f3a85","abstract_canon_sha256":"40a5d406885a1168d03d734adb8044d4b6476eeb38ce353a316ca1cc2cf7d188"},"schema_version":"1.0"},"canonical_sha256":"b410615eaca2dcf244a45c34be2140e78ca096eae7a31690ff779b9a95c6cd7d","source":{"kind":"arxiv","id":"0705.3419","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.3419","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"0705.3419v3","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.3419","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"WQIGCXVMULOP","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_16","alias_value":"WQIGCXVMULOPERFE","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_8","alias_value":"WQIGCXVM","created_at":"2026-07-04T15:15:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:WQIGCXVMULOPERFELQ2L4IKA46","target":"record","payload":{"canonical_record":{"source":{"id":"0705.3419","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-05-23T16:59:48Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a927d158915fdb6c440b24c880e6a0dad21465692688d0441e2fdf16bd7f3a85","abstract_canon_sha256":"40a5d406885a1168d03d734adb8044d4b6476eeb38ce353a316ca1cc2cf7d188"},"schema_version":"1.0"},"canonical_sha256":"b410615eaca2dcf244a45c34be2140e78ca096eae7a31690ff779b9a95c6cd7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:15:47.877539Z","signature_b64":"BGwpQdj4I96WTVpkoT4lWccMrDLAbt21W6JPHFrpyGIC2XMNOls2CE2EDAh4HBSU+SaCroRNS7ykjQwj9gt0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b410615eaca2dcf244a45c34be2140e78ca096eae7a31690ff779b9a95c6cd7d","last_reissued_at":"2026-07-04T15:15:47.877128Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:15:47.877128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0705.3419","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":"2026-07-04T15:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4TnTKOgmUK17vgLg6yZMbTUVyBkXVALvse5kHyOlM3MTzPCjEm7p+Z0kWJdncE6ngoWY+cPMg8QDe04U5ct1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:29:03.238638Z"},"content_sha256":"f83102fe1257b77654f17f4c3f8f2881ed7617ce50ff9a9933007986d849c773","schema_version":"1.0","event_id":"sha256:f83102fe1257b77654f17f4c3f8f2881ed7617ce50ff9a9933007986d849c773"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:WQIGCXVMULOPERFELQ2L4IKA46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-commutative Donaldson-Thomas theory and the conifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.AG","authors_text":"Balazs Szendroi","submitted_at":"2007-05-23T16:59:48Z","abstract_excerpt":"Given a quiver algebra A with relations defined by a superpotential, this paper defines a set of invariants of A counting framed cyclic A-modules, analogous to rank-1 Donaldson-Thomas invariants of Calabi-Yau threefolds. For the special case when A is the non-commutative crepant resolution of the threefold ordinary double point, it is proved using torus localization that the invariants count certain pyramid-shaped partition-like configurations, or equivalently infinite dimer configurations in the square dimer model with a fixed boundary condition. The resulting partition function admits an inf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.3419","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0705.3419/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":"2026-07-04T15:15:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AhXCsPpUIie2/gFy3uJqXLBqcltPSKq4pydLkNyUt4Y5oZ1+LSJ/NwFNyUbEl95EsCRy51rE5s9DYaWtUOu+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:29:03.239214Z"},"content_sha256":"f32bb0ce1565fed58ab1255e85734f902da81f1107c81650672cff17d3196dbb","schema_version":"1.0","event_id":"sha256:f32bb0ce1565fed58ab1255e85734f902da81f1107c81650672cff17d3196dbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQIGCXVMULOPERFELQ2L4IKA46/bundle.json","state_url":"https://pith.science/pith/WQIGCXVMULOPERFELQ2L4IKA46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQIGCXVMULOPERFELQ2L4IKA46/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":"2026-08-16T11:29:03Z","links":{"resolver":"https://pith.science/pith/WQIGCXVMULOPERFELQ2L4IKA46","bundle":"https://pith.science/pith/WQIGCXVMULOPERFELQ2L4IKA46/bundle.json","state":"https://pith.science/pith/WQIGCXVMULOPERFELQ2L4IKA46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQIGCXVMULOPERFELQ2L4IKA46/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:WQIGCXVMULOPERFELQ2L4IKA46","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":"40a5d406885a1168d03d734adb8044d4b6476eeb38ce353a316ca1cc2cf7d188","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-05-23T16:59:48Z","title_canon_sha256":"a927d158915fdb6c440b24c880e6a0dad21465692688d0441e2fdf16bd7f3a85"},"schema_version":"1.0","source":{"id":"0705.3419","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0705.3419","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"arxiv_version","alias_value":"0705.3419v3","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.3419","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_12","alias_value":"WQIGCXVMULOP","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_16","alias_value":"WQIGCXVMULOPERFE","created_at":"2026-07-04T15:15:47Z"},{"alias_kind":"pith_short_8","alias_value":"WQIGCXVM","created_at":"2026-07-04T15:15:47Z"}],"graph_snapshots":[{"event_id":"sha256:f32bb0ce1565fed58ab1255e85734f902da81f1107c81650672cff17d3196dbb","target":"graph","created_at":"2026-07-04T15:15:47Z","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/0705.3419/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a quiver algebra A with relations defined by a superpotential, this paper defines a set of invariants of A counting framed cyclic A-modules, analogous to rank-1 Donaldson-Thomas invariants of Calabi-Yau threefolds. For the special case when A is the non-commutative crepant resolution of the threefold ordinary double point, it is proved using torus localization that the invariants count certain pyramid-shaped partition-like configurations, or equivalently infinite dimer configurations in the square dimer model with a fixed boundary condition. The resulting partition function admits an inf","authors_text":"Balazs Szendroi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-05-23T16:59:48Z","title":"Non-commutative Donaldson-Thomas theory and the conifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.3419","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:f83102fe1257b77654f17f4c3f8f2881ed7617ce50ff9a9933007986d849c773","target":"record","created_at":"2026-07-04T15:15:47Z","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":"40a5d406885a1168d03d734adb8044d4b6476eeb38ce353a316ca1cc2cf7d188","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2007-05-23T16:59:48Z","title_canon_sha256":"a927d158915fdb6c440b24c880e6a0dad21465692688d0441e2fdf16bd7f3a85"},"schema_version":"1.0","source":{"id":"0705.3419","kind":"arxiv","version":3}},"canonical_sha256":"b410615eaca2dcf244a45c34be2140e78ca096eae7a31690ff779b9a95c6cd7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b410615eaca2dcf244a45c34be2140e78ca096eae7a31690ff779b9a95c6cd7d","first_computed_at":"2026-07-04T15:15:47.877128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:15:47.877128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGwpQdj4I96WTVpkoT4lWccMrDLAbt21W6JPHFrpyGIC2XMNOls2CE2EDAh4HBSU+SaCroRNS7ykjQwj9gt0DA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:15:47.877539Z","signed_message":"canonical_sha256_bytes"},"source_id":"0705.3419","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f83102fe1257b77654f17f4c3f8f2881ed7617ce50ff9a9933007986d849c773","sha256:f32bb0ce1565fed58ab1255e85734f902da81f1107c81650672cff17d3196dbb"],"state_sha256":"8c93a01d78043d2806e772a64077d05219d13970302c801bfcff527cd28bce0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EXm9WcAIWtaHS5kGvPoiVpNCm/XtDjrdjh9oURLmdtDUVMpW7tsAUm4wrxewVChK/B2L2U4Udkq7b5ZI/RImDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T11:29:03.244587Z","bundle_sha256":"762fe434cde30903b9ae92e0aef16838abe11069c11345717c38ccf294d99d66"}}