{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:PHMFO6RWB2RRJ274WSC5VE7766","short_pith_number":"pith:PHMFO6RW","canonical_record":{"source":{"id":"0810.1536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-10-08T20:30:39Z","cross_cats_sorted":[],"title_canon_sha256":"76b8fa3f0c2982d2f799ecedd28ddd16d7fbf2ce15b713cc7bbd3472a49dabbd","abstract_canon_sha256":"08ffd20bfce7e5b58266861f9a666ebacfef28ce3c5fddc495ec59321bb69011"},"schema_version":"1.0"},"canonical_sha256":"79d8577a360ea314ebfcb485da93fff79eebe37bf3774262062459e930730d18","source":{"kind":"arxiv","id":"0810.1536","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1536","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1536v1","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1536","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"PHMFO6RWB2RR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"PHMFO6RWB2RRJ274","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"PHMFO6RW","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:PHMFO6RWB2RRJ274WSC5VE7766","target":"record","payload":{"canonical_record":{"source":{"id":"0810.1536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-10-08T20:30:39Z","cross_cats_sorted":[],"title_canon_sha256":"76b8fa3f0c2982d2f799ecedd28ddd16d7fbf2ce15b713cc7bbd3472a49dabbd","abstract_canon_sha256":"08ffd20bfce7e5b58266861f9a666ebacfef28ce3c5fddc495ec59321bb69011"},"schema_version":"1.0"},"canonical_sha256":"79d8577a360ea314ebfcb485da93fff79eebe37bf3774262062459e930730d18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:14.426854Z","signature_b64":"atLfrzKHnYIIyJXOUkcVwtbxdrepi/56ZeI2DrjmPRlZCxdLHiHYPNbCfYiOA+uHrhvhPnp1KpEyRFERtdBGDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79d8577a360ea314ebfcb485da93fff79eebe37bf3774262062459e930730d18","last_reissued_at":"2026-05-18T02:35:14.426428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:14.426428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.1536","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":"2026-05-18T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G0Iu4xGSJpBSYDENTIHyEzeVAFA9/K6OPPAt8hYvNBDCckbVn2wcWVxZ9cjDcpDzqc6zc3TqcxTJKm+oDju5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:42:18.184645Z"},"content_sha256":"2b18048934330f89c5b9363209a385cc33ab385174bb21485c5c36369d3c159a","schema_version":"1.0","event_id":"sha256:2b18048934330f89c5b9363209a385cc33ab385174bb21485c5c36369d3c159a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:PHMFO6RWB2RRJ274WSC5VE7766","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non Abelian gauge theories, prepotentials and Abelian differentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.Marshakov","submitted_at":"2008-10-08T20:30:39Z","abstract_excerpt":"I discuss particular solutions of the integrable systems, starting from well-known dispersionless KdV and Toda hierarchies, which define in most straightforward way the generating functions for the Gromov-Witten classes in terms of the rational complex curve. On the ``mirror'' side these generating functions can be identified with the simplest prepotentials of complex manifolds, and I present few more exactly calculable examples of them. For the higher genus curves, corresponding in this context to the non Abelian gauge theories via the topological gauge/string duality, similar solutions are c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1536","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":"2026-05-18T02:35:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/eUeqxGFZLNPo8mBTJAFNNElwUUUUnuhzbRtwxGWcgmMemOdeM+6kzNiuw/C0xcuPofYioaHIQmHAD8/fmY9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:42:18.185407Z"},"content_sha256":"cd848f203de9696cfa616226a287dc1bdb1e2f7a99a2ecc74bad59ff6e2ee892","schema_version":"1.0","event_id":"sha256:cd848f203de9696cfa616226a287dc1bdb1e2f7a99a2ecc74bad59ff6e2ee892"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PHMFO6RWB2RRJ274WSC5VE7766/bundle.json","state_url":"https://pith.science/pith/PHMFO6RWB2RRJ274WSC5VE7766/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PHMFO6RWB2RRJ274WSC5VE7766/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":"2026-05-25T14:42:18Z","links":{"resolver":"https://pith.science/pith/PHMFO6RWB2RRJ274WSC5VE7766","bundle":"https://pith.science/pith/PHMFO6RWB2RRJ274WSC5VE7766/bundle.json","state":"https://pith.science/pith/PHMFO6RWB2RRJ274WSC5VE7766/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PHMFO6RWB2RRJ274WSC5VE7766/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:PHMFO6RWB2RRJ274WSC5VE7766","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":"08ffd20bfce7e5b58266861f9a666ebacfef28ce3c5fddc495ec59321bb69011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-10-08T20:30:39Z","title_canon_sha256":"76b8fa3f0c2982d2f799ecedd28ddd16d7fbf2ce15b713cc7bbd3472a49dabbd"},"schema_version":"1.0","source":{"id":"0810.1536","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1536","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1536v1","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1536","created_at":"2026-05-18T02:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"PHMFO6RWB2RR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"PHMFO6RWB2RRJ274","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"PHMFO6RW","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:cd848f203de9696cfa616226a287dc1bdb1e2f7a99a2ecc74bad59ff6e2ee892","target":"graph","created_at":"2026-05-18T02:35:14Z","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":"I discuss particular solutions of the integrable systems, starting from well-known dispersionless KdV and Toda hierarchies, which define in most straightforward way the generating functions for the Gromov-Witten classes in terms of the rational complex curve. On the ``mirror'' side these generating functions can be identified with the simplest prepotentials of complex manifolds, and I present few more exactly calculable examples of them. For the higher genus curves, corresponding in this context to the non Abelian gauge theories via the topological gauge/string duality, similar solutions are c","authors_text":"A.Marshakov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-10-08T20:30:39Z","title":"Non Abelian gauge theories, prepotentials and Abelian differentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1536","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":"sha256:2b18048934330f89c5b9363209a385cc33ab385174bb21485c5c36369d3c159a","target":"record","created_at":"2026-05-18T02:35:14Z","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":"08ffd20bfce7e5b58266861f9a666ebacfef28ce3c5fddc495ec59321bb69011","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-10-08T20:30:39Z","title_canon_sha256":"76b8fa3f0c2982d2f799ecedd28ddd16d7fbf2ce15b713cc7bbd3472a49dabbd"},"schema_version":"1.0","source":{"id":"0810.1536","kind":"arxiv","version":1}},"canonical_sha256":"79d8577a360ea314ebfcb485da93fff79eebe37bf3774262062459e930730d18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79d8577a360ea314ebfcb485da93fff79eebe37bf3774262062459e930730d18","first_computed_at":"2026-05-18T02:35:14.426428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:14.426428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"atLfrzKHnYIIyJXOUkcVwtbxdrepi/56ZeI2DrjmPRlZCxdLHiHYPNbCfYiOA+uHrhvhPnp1KpEyRFERtdBGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:14.426854Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.1536","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b18048934330f89c5b9363209a385cc33ab385174bb21485c5c36369d3c159a","sha256:cd848f203de9696cfa616226a287dc1bdb1e2f7a99a2ecc74bad59ff6e2ee892"],"state_sha256":"1324e62ad22a68cc791d558cd6634405cbe2478826328605f844e5b742ee5796"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQduI2x2ocQ2GtZo3ZTSb0RYPnX40ja3OuEg3uRQCneWIm23YelpX7otPs2x8KyCB66J3j0OXmHnkbmj9iF7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T14:42:18.189893Z","bundle_sha256":"e36496e82d63ecdbbab282fd8231a28a8cc66bbce516faf99816e5805d8d0202"}}