{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZCCP2QZGMOBUC55HG6IBEAD6H7","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":"7eb976c7074b5aac169e6c213dac005090b5fcb7c0cb903f40f6b92e65d33d38","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-09T10:48:52Z","title_canon_sha256":"a86eb9d4c2b98439ad03b3be1da877d523f135bdf2652ee8c0c210dcdff57f8d"},"schema_version":"1.0","source":{"id":"hep-th/0602087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0602087","created_at":"2026-07-04T14:53:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602087v1","created_at":"2026-07-04T14:53:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602087","created_at":"2026-07-04T14:53:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZCCP2QZGMOBU","created_at":"2026-07-04T14:53:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZCCP2QZGMOBUC55H","created_at":"2026-07-04T14:53:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZCCP2QZG","created_at":"2026-07-04T14:53:21Z"}],"graph_snapshots":[{"event_id":"sha256:48adf6487019386971fdc6b2c6a3a492d3b38265d8c9b3e99550dc65d4ccccf5","target":"graph","created_at":"2026-07-04T14:53:21Z","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/hep-th/0602087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how the topological string partition function, which is known to capture the degeneracies of a gas of BPS spinning M2-branes in M-theory compactified to 5 dimensions, is related to a 4-dimensional D-brane system that consists of single D6-brane bound to lower-dimensional branes. This system is described by a topologically twisted U(1) gauge theory, that has been conjecturally identified with quantum foam models and topological strings. This also explains, assuming the identification of Donaldson-Thomas invariants with this U(1) gauge theory, the conjectural relation between DT invarian","authors_text":"Cumrun Vafa, Erik Verlinde, Robbert Dijkgraaf","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-02-09T10:48:52Z","title":"M-theory and a Topological String Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602087","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:e04d14735cb6924a3055499f1f4c80e549d0728833ea7161dfedcb8e47251ca4","target":"record","created_at":"2026-07-04T14:53:21Z","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":"7eb976c7074b5aac169e6c213dac005090b5fcb7c0cb903f40f6b92e65d33d38","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-09T10:48:52Z","title_canon_sha256":"a86eb9d4c2b98439ad03b3be1da877d523f135bdf2652ee8c0c210dcdff57f8d"},"schema_version":"1.0","source":{"id":"hep-th/0602087","kind":"arxiv","version":1}},"canonical_sha256":"c884fd432663834177a7379012007e3fd4325291406cb04978ae335998b54434","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c884fd432663834177a7379012007e3fd4325291406cb04978ae335998b54434","first_computed_at":"2026-07-04T14:53:21.340135Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:53:21.340135Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"crmTBv5xJ/nbbaurAOgA1Y9DL6OUcdbSQYX1s0dytSm2UCG6BElDnMGkZPMfIG2tOLTr+N1x3vgSpLlBgMGHCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:53:21.340546Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0602087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e04d14735cb6924a3055499f1f4c80e549d0728833ea7161dfedcb8e47251ca4","sha256:48adf6487019386971fdc6b2c6a3a492d3b38265d8c9b3e99550dc65d4ccccf5"],"state_sha256":"e18b52630c7ed697b65ccad90abc242ce623df1b6c68c7f149045fc36be34aed"}