{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:GTOYUS77QF2PFDUZVBB2AYOK5X","short_pith_number":"pith:GTOYUS77","canonical_record":{"source":{"id":"2212.05999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T16:00:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d320f4a4f20722aec6c35082d8b957bb1c01d944c9406ccb594ea6f9fddda2c7","abstract_canon_sha256":"95457faf40e38c57040604fcd22af749b7038d3f47f40852736551f83db0f514"},"schema_version":"1.0"},"canonical_sha256":"34dd8a4bff8174f28e99a843a061caedf14305b3ffb01b57c797b7422b4d42cf","source":{"kind":"arxiv","id":"2212.05999","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.05999","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"2212.05999v2","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05999","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"GTOYUS77QF2P","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_16","alias_value":"GTOYUS77QF2PFDUZ","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_8","alias_value":"GTOYUS77","created_at":"2026-07-05T05:52:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:GTOYUS77QF2PFDUZVBB2AYOK5X","target":"record","payload":{"canonical_record":{"source":{"id":"2212.05999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T16:00:55Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d320f4a4f20722aec6c35082d8b957bb1c01d944c9406ccb594ea6f9fddda2c7","abstract_canon_sha256":"95457faf40e38c57040604fcd22af749b7038d3f47f40852736551f83db0f514"},"schema_version":"1.0"},"canonical_sha256":"34dd8a4bff8174f28e99a843a061caedf14305b3ffb01b57c797b7422b4d42cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:52:24.877369Z","signature_b64":"RI5tP7ZFaE90iL8QCX0M/Q1vEXclnBMPAX9CtkRQTj4BiHeUhwYqPaadJ6V4pZ1fvg2phGx2JSJD2vmY5mJ7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34dd8a4bff8174f28e99a843a061caedf14305b3ffb01b57c797b7422b4d42cf","last_reissued_at":"2026-07-05T05:52:24.876915Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:52:24.876915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.05999","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:52:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rTLrDjjNSERSy2dsrmISxAo4xayZtMWuZfRqbAtX9S/v/VW1F/yFZ84EY029eMfa/bg5jJqVzWl73WTQeA/dDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:26:48.973105Z"},"content_sha256":"c65ab4f837ea7c11fcd8e4236fd3ae2f4d071bb4f5e57140ab88e29080ff3e15","schema_version":"1.0","event_id":"sha256:c65ab4f837ea7c11fcd8e4236fd3ae2f4d071bb4f5e57140ab88e29080ff3e15"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:GTOYUS77QF2PFDUZVBB2AYOK5X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deriving the Simplest Gauge-String Duality -- I: Open-Closed-Open Triality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Edward A. Mazenc, Rajesh Gopakumar","submitted_at":"2022-12-12T16:00:55Z","abstract_excerpt":"We lay out an approach to derive the closed string dual to the simplest possible gauge theory, a single hermitian matrix integral, in the conventional 't Hooft large $N$ limit. In this first installment of three papers, we propose and verify an explicit correspondence with a (mirror) pair of closed topological string theories. On the A-model side, this is a supersymmetric $SL(2, \\mathbb{R})_1/U(1)$ Kazama-Suzuki coset (with background momentum modes turned on). The mirror B-model description is in terms of a Landau-Ginzburg theory with superpotential $W(Z)=\\frac{1}{Z}+t_2Z$ and its deformation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05999","kind":"arxiv","version":2},"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/2212.05999/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":"2026-07-05T05:52:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkIf7qg7EwNk2BxLNW/QK6+tYuekAFuoaUWFOl8sRelDW3UkYpJGVqFxEfrt3BwxqPMq/Z5+UvOXOZlQ7FBjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T22:26:48.974047Z"},"content_sha256":"9eed8b5697e33251b5efe2d611f1daf3cd98c06c3ef7f14c336e3c345a20e119","schema_version":"1.0","event_id":"sha256:9eed8b5697e33251b5efe2d611f1daf3cd98c06c3ef7f14c336e3c345a20e119"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/bundle.json","state_url":"https://pith.science/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/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":"2026-08-08T22:26:48Z","links":{"resolver":"https://pith.science/pith/GTOYUS77QF2PFDUZVBB2AYOK5X","bundle":"https://pith.science/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/bundle.json","state":"https://pith.science/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GTOYUS77QF2PFDUZVBB2AYOK5X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GTOYUS77QF2PFDUZVBB2AYOK5X","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":"95457faf40e38c57040604fcd22af749b7038d3f47f40852736551f83db0f514","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T16:00:55Z","title_canon_sha256":"d320f4a4f20722aec6c35082d8b957bb1c01d944c9406ccb594ea6f9fddda2c7"},"schema_version":"1.0","source":{"id":"2212.05999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.05999","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"arxiv_version","alias_value":"2212.05999v2","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.05999","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_12","alias_value":"GTOYUS77QF2P","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_16","alias_value":"GTOYUS77QF2PFDUZ","created_at":"2026-07-05T05:52:24Z"},{"alias_kind":"pith_short_8","alias_value":"GTOYUS77","created_at":"2026-07-05T05:52:24Z"}],"graph_snapshots":[{"event_id":"sha256:9eed8b5697e33251b5efe2d611f1daf3cd98c06c3ef7f14c336e3c345a20e119","target":"graph","created_at":"2026-07-05T05:52:24Z","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/2212.05999/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We lay out an approach to derive the closed string dual to the simplest possible gauge theory, a single hermitian matrix integral, in the conventional 't Hooft large $N$ limit. In this first installment of three papers, we propose and verify an explicit correspondence with a (mirror) pair of closed topological string theories. On the A-model side, this is a supersymmetric $SL(2, \\mathbb{R})_1/U(1)$ Kazama-Suzuki coset (with background momentum modes turned on). The mirror B-model description is in terms of a Landau-Ginzburg theory with superpotential $W(Z)=\\frac{1}{Z}+t_2Z$ and its deformation","authors_text":"Edward A. Mazenc, Rajesh Gopakumar","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T16:00:55Z","title":"Deriving the Simplest Gauge-String Duality -- I: Open-Closed-Open Triality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.05999","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:c65ab4f837ea7c11fcd8e4236fd3ae2f4d071bb4f5e57140ab88e29080ff3e15","target":"record","created_at":"2026-07-05T05:52:24Z","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":"95457faf40e38c57040604fcd22af749b7038d3f47f40852736551f83db0f514","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-12-12T16:00:55Z","title_canon_sha256":"d320f4a4f20722aec6c35082d8b957bb1c01d944c9406ccb594ea6f9fddda2c7"},"schema_version":"1.0","source":{"id":"2212.05999","kind":"arxiv","version":2}},"canonical_sha256":"34dd8a4bff8174f28e99a843a061caedf14305b3ffb01b57c797b7422b4d42cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34dd8a4bff8174f28e99a843a061caedf14305b3ffb01b57c797b7422b4d42cf","first_computed_at":"2026-07-05T05:52:24.876915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:52:24.876915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RI5tP7ZFaE90iL8QCX0M/Q1vEXclnBMPAX9CtkRQTj4BiHeUhwYqPaadJ6V4pZ1fvg2phGx2JSJD2vmY5mJ7Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:52:24.877369Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.05999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c65ab4f837ea7c11fcd8e4236fd3ae2f4d071bb4f5e57140ab88e29080ff3e15","sha256:9eed8b5697e33251b5efe2d611f1daf3cd98c06c3ef7f14c336e3c345a20e119"],"state_sha256":"79a94dde77a176076dce304168b86328da2ca4644efd1f446e6c6cd9d9cf1f32"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d8UBZu8LQM4CM2FAABYc/JU1y1etVTBdbF3D4ya74FnOozcsnF3AdRgP1ZhzSY5N/eF5iimKwpW1yEyqMt0hCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T22:26:48.980108Z","bundle_sha256":"d4c0121b7110e8ce44feba8a18a26fc8ff76c37f1b33a0f7f85fad4f62c3b3dc"}}