{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ILRN6U2DVWI5OSBFPKDBEXOHFK","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":"cb9a434bd074b58a0c9fd26935578af0f86ac84aadec6087991a8a6459e3f200","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-11T14:20:09Z","title_canon_sha256":"2a1cd2cd38a525c1f54831124a4c5936efaeae4a99d0083063b1fc2e86497bc6"},"schema_version":"1.0","source":{"id":"1004.1812","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.1812","created_at":"2026-05-18T04:37:20Z"},{"alias_kind":"arxiv_version","alias_value":"1004.1812v2","created_at":"2026-05-18T04:37:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1812","created_at":"2026-05-18T04:37:20Z"},{"alias_kind":"pith_short_12","alias_value":"ILRN6U2DVWI5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILRN6U2DVWI5OSBF","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILRN6U2D","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:0d1309f078b7323dba6bae3c7c333a0dc0e69c83a3646fd25d6b00192c2b33e2","target":"graph","created_at":"2026-05-18T04:37:20Z","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":"In this paper, we advance an M theory model corresponding to the Coulomb phase of higher rank Donaldson-Thomas(DT) invariants.","authors_text":"Haitao Liu","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-11T14:20:09Z","title":"M theory and the Coulomb phase of higher rank DT invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1812","kind":"arxiv","version":2},"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:da136df3c97955235dad9ecb9d6c8989b3df615ee4fd0ed53d7d5d993a858c07","target":"record","created_at":"2026-05-18T04:37:20Z","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":"cb9a434bd074b58a0c9fd26935578af0f86ac84aadec6087991a8a6459e3f200","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-11T14:20:09Z","title_canon_sha256":"2a1cd2cd38a525c1f54831124a4c5936efaeae4a99d0083063b1fc2e86497bc6"},"schema_version":"1.0","source":{"id":"1004.1812","kind":"arxiv","version":2}},"canonical_sha256":"42e2df5343ad91d748257a86125dc72a884e3d10a497d443051cd46dac8fb7ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42e2df5343ad91d748257a86125dc72a884e3d10a497d443051cd46dac8fb7ff","first_computed_at":"2026-05-18T04:37:20.731251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:20.731251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9f9bB6Y7uLMLf3/sRGS0scgIMevvHFXWQJxC3vnbBo2d6SVyNSP/ZFUvwL1gokEkC7CqR/yykTrEmULI8oGDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:20.731764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.1812","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da136df3c97955235dad9ecb9d6c8989b3df615ee4fd0ed53d7d5d993a858c07","sha256:0d1309f078b7323dba6bae3c7c333a0dc0e69c83a3646fd25d6b00192c2b33e2"],"state_sha256":"52f78d1584ca2e87f7ab0d2990baa12f856f7d049bc8bd67941ea2c8baf3f7e8"}