{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Q5D7QDV6N7THRPNNEIW4MRMZRV","short_pith_number":"pith:Q5D7QDV6","canonical_record":{"source":{"id":"1107.5181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T11:40:08Z","cross_cats_sorted":[],"title_canon_sha256":"088722effeb7aa789c2c019b37f0208acadc8ccb152e1980f9b9dd1cc0cc328f","abstract_canon_sha256":"92eec28d146623b2cb8db63c658efa28c3eb578d063a4c41e07b4ff3f9236b7e"},"schema_version":"1.0"},"canonical_sha256":"8747f80ebe6fe678bdad222dc645998d42a870b54a277f5027e632bf706b0199","source":{"kind":"arxiv","id":"1107.5181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5181","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5181v1","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5181","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"Q5D7QDV6N7TH","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5D7QDV6N7THRPNN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5D7QDV6","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Q5D7QDV6N7THRPNNEIW4MRMZRV","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T11:40:08Z","cross_cats_sorted":[],"title_canon_sha256":"088722effeb7aa789c2c019b37f0208acadc8ccb152e1980f9b9dd1cc0cc328f","abstract_canon_sha256":"92eec28d146623b2cb8db63c658efa28c3eb578d063a4c41e07b4ff3f9236b7e"},"schema_version":"1.0"},"canonical_sha256":"8747f80ebe6fe678bdad222dc645998d42a870b54a277f5027e632bf706b0199","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:52.806737Z","signature_b64":"2HNE5/GzghGrpxLIiIy24IfotjIZBWLlNAtWsPUQILPtqV6K/0u2/kx8/29gXAcbcM7DV2MInn0ZX8i83HfRDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8747f80ebe6fe678bdad222dc645998d42a870b54a277f5027e632bf706b0199","last_reissued_at":"2026-05-18T04:16:52.806080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:52.806080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5181","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":"2026-05-18T04:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2bwjfu8ty9w3Syrj/AHhI7io+YqC1wKf+DDxWVmQOZrgsNvaGIunkUgwUi+U6LI6t9dQOjYOxHmte+X5sEiFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:33:04.994455Z"},"content_sha256":"8932254b60f75d3047e08384c964ece8100775ca299ee0659bc8bd149243459b","schema_version":"1.0","event_id":"sha256:8932254b60f75d3047e08384c964ece8100775ca299ee0659bc8bd149243459b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Q5D7QDV6N7THRPNNEIW4MRMZRV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mirror of the refined topological vertex from a matrix model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"B. Eynard, C. Kozcaz","submitted_at":"2011-07-26T11:40:08Z","abstract_excerpt":"We find an explicit matrix model computing the refined topological vertex, starting from its representation in terms of plane partitions. We then find the spectral curve of that matrix model, and thus the mirror symmetry of the refined vertex. With the same method we also find a matrix model for the strip geometry, and we find its mirror curve. The fact that there is a matrix model shows that the refined topological string amplitudes also satisfy the remodeling the B-model construction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5181","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":"2026-05-18T04:16:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zkO7oF6sNk6Fjdp/JpNTR1W+F/NS91OGxL3p38Y3Bvty9mNFo4G/XH9ZPEC1DZe6q68+FGVQ6NJw+NrKHDmDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:33:04.994796Z"},"content_sha256":"eb0fb4345aad07c01ef1b240086aaa8e2164dbef2fc164326f9fbeffdc889ab7","schema_version":"1.0","event_id":"sha256:eb0fb4345aad07c01ef1b240086aaa8e2164dbef2fc164326f9fbeffdc889ab7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/bundle.json","state_url":"https://pith.science/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/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":"2026-06-02T11:33:04Z","links":{"resolver":"https://pith.science/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV","bundle":"https://pith.science/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/bundle.json","state":"https://pith.science/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5D7QDV6N7THRPNNEIW4MRMZRV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q5D7QDV6N7THRPNNEIW4MRMZRV","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":"92eec28d146623b2cb8db63c658efa28c3eb578d063a4c41e07b4ff3f9236b7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T11:40:08Z","title_canon_sha256":"088722effeb7aa789c2c019b37f0208acadc8ccb152e1980f9b9dd1cc0cc328f"},"schema_version":"1.0","source":{"id":"1107.5181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5181","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5181v1","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5181","created_at":"2026-05-18T04:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"Q5D7QDV6N7TH","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5D7QDV6N7THRPNN","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5D7QDV6","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:eb0fb4345aad07c01ef1b240086aaa8e2164dbef2fc164326f9fbeffdc889ab7","target":"graph","created_at":"2026-05-18T04:16:52Z","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 find an explicit matrix model computing the refined topological vertex, starting from its representation in terms of plane partitions. We then find the spectral curve of that matrix model, and thus the mirror symmetry of the refined vertex. With the same method we also find a matrix model for the strip geometry, and we find its mirror curve. The fact that there is a matrix model shows that the refined topological string amplitudes also satisfy the remodeling the B-model construction.","authors_text":"B. Eynard, C. Kozcaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T11:40:08Z","title":"Mirror of the refined topological vertex from a matrix model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5181","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":"sha256:8932254b60f75d3047e08384c964ece8100775ca299ee0659bc8bd149243459b","target":"record","created_at":"2026-05-18T04:16:52Z","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":"92eec28d146623b2cb8db63c658efa28c3eb578d063a4c41e07b4ff3f9236b7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T11:40:08Z","title_canon_sha256":"088722effeb7aa789c2c019b37f0208acadc8ccb152e1980f9b9dd1cc0cc328f"},"schema_version":"1.0","source":{"id":"1107.5181","kind":"arxiv","version":1}},"canonical_sha256":"8747f80ebe6fe678bdad222dc645998d42a870b54a277f5027e632bf706b0199","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8747f80ebe6fe678bdad222dc645998d42a870b54a277f5027e632bf706b0199","first_computed_at":"2026-05-18T04:16:52.806080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:52.806080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2HNE5/GzghGrpxLIiIy24IfotjIZBWLlNAtWsPUQILPtqV6K/0u2/kx8/29gXAcbcM7DV2MInn0ZX8i83HfRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:52.806737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8932254b60f75d3047e08384c964ece8100775ca299ee0659bc8bd149243459b","sha256:eb0fb4345aad07c01ef1b240086aaa8e2164dbef2fc164326f9fbeffdc889ab7"],"state_sha256":"b6953238ee679ff11a38765089b44e88484bfbccea16eabde75f6d8621c539d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/f57HVE/qrxptc/uDejJvNR8p88XLhmMtg9WW1893ZLytdEtDdrXpQ0ky0ugRH057vIJdTr44qHLNTiX9xhQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:33:04.996983Z","bundle_sha256":"2662baebf95005423fea56177ba99a7ed1e7d06f5322da63aad0853db7ac0cf7"}}