{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:YKHZHHMDENTN3ZWHP2OUO7T7RU","short_pith_number":"pith:YKHZHHMD","canonical_record":{"source":{"id":"1809.07951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-21T05:50:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"09d404c84cc0b4438206460547163e4704335851668bf15bb96f5ae348b61bd6","abstract_canon_sha256":"5a912c60ba52bd98a9a638d9ad095e3f2f703114136ad55a40088b7f5c4f00a3"},"schema_version":"1.0"},"canonical_sha256":"c28f939d832366dde6c77e9d477e7f8d1f1724b306658dc8115d7ba0989e2ed8","source":{"kind":"arxiv","id":"1809.07951","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07951","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07951v1","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07951","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"pith_short_12","alias_value":"YKHZHHMDENTN","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YKHZHHMDENTN3ZWH","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YKHZHHMD","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:YKHZHHMDENTN3ZWHP2OUO7T7RU","target":"record","payload":{"canonical_record":{"source":{"id":"1809.07951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-21T05:50:54Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"09d404c84cc0b4438206460547163e4704335851668bf15bb96f5ae348b61bd6","abstract_canon_sha256":"5a912c60ba52bd98a9a638d9ad095e3f2f703114136ad55a40088b7f5c4f00a3"},"schema_version":"1.0"},"canonical_sha256":"c28f939d832366dde6c77e9d477e7f8d1f1724b306658dc8115d7ba0989e2ed8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:10.778833Z","signature_b64":"vRkURXyVwFG9l34tNntc1UU9vSOV+vf/2Kg6od2YdRyNrNHN1NNw8VaBMZmlyvpDqPKoptDPY6qgovRC2ijIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c28f939d832366dde6c77e9d477e7f8d1f1724b306658dc8115d7ba0989e2ed8","last_reissued_at":"2026-05-18T00:05:10.778325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:10.778325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.07951","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":"2026-05-18T00:05:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Xb1ropPlEaEw0VzCKLHjk7iHNNKTIalIe2434eAXuX4Mzoz0ifcdbcg0heTOJsdEz4Fpg90Wdd62vfchWy/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:28.126284Z"},"content_sha256":"f0cfa2d2e8882838fe4d84eeb2103b5425b0b6b5f6e3ec073a38c7aea1f488fa","schema_version":"1.0","event_id":"sha256:f0cfa2d2e8882838fe4d84eeb2103b5425b0b6b5f6e3ec073a38c7aea1f488fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:YKHZHHMDENTN3ZWHP2OUO7T7RU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hermitian One-Matrix Model and KP Hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jian Zhou","submitted_at":"2018-09-21T05:50:54Z","abstract_excerpt":"The partition functions of Hermitian one-matrix models are known to be tau-functions of the KP hierarchy. In this paper we explicitly compute the elements in Sato grassmannian these tau-functions correspond to, and use them to compute the $n$-point functions of Hermitian one-matrix model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07951","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":"2026-05-18T00:05:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QhrACemnDAe9WT4TXbeVcs9kYFMXWXOKA7j2eV/YrwV+tQcSAPWwGNhq8wP7jRBwFhxAxxnrrABaJ1NS+l3GDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:09:28.126646Z"},"content_sha256":"f1e0b67dcfd09eb0769378983bf8234daed7c3a9cb39c45824ae07cd26351a58","schema_version":"1.0","event_id":"sha256:f1e0b67dcfd09eb0769378983bf8234daed7c3a9cb39c45824ae07cd26351a58"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/bundle.json","state_url":"https://pith.science/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/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":"2026-05-28T12:09:28Z","links":{"resolver":"https://pith.science/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU","bundle":"https://pith.science/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/bundle.json","state":"https://pith.science/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKHZHHMDENTN3ZWHP2OUO7T7RU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YKHZHHMDENTN3ZWHP2OUO7T7RU","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":"5a912c60ba52bd98a9a638d9ad095e3f2f703114136ad55a40088b7f5c4f00a3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-21T05:50:54Z","title_canon_sha256":"09d404c84cc0b4438206460547163e4704335851668bf15bb96f5ae348b61bd6"},"schema_version":"1.0","source":{"id":"1809.07951","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07951","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07951v1","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07951","created_at":"2026-05-18T00:05:10Z"},{"alias_kind":"pith_short_12","alias_value":"YKHZHHMDENTN","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YKHZHHMDENTN3ZWH","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YKHZHHMD","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:f1e0b67dcfd09eb0769378983bf8234daed7c3a9cb39c45824ae07cd26351a58","target":"graph","created_at":"2026-05-18T00:05:10Z","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":"The partition functions of Hermitian one-matrix models are known to be tau-functions of the KP hierarchy. In this paper we explicitly compute the elements in Sato grassmannian these tau-functions correspond to, and use them to compute the $n$-point functions of Hermitian one-matrix model.","authors_text":"Jian Zhou","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-21T05:50:54Z","title":"Hermitian One-Matrix Model and KP Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07951","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:f0cfa2d2e8882838fe4d84eeb2103b5425b0b6b5f6e3ec073a38c7aea1f488fa","target":"record","created_at":"2026-05-18T00:05:10Z","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":"5a912c60ba52bd98a9a638d9ad095e3f2f703114136ad55a40088b7f5c4f00a3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-21T05:50:54Z","title_canon_sha256":"09d404c84cc0b4438206460547163e4704335851668bf15bb96f5ae348b61bd6"},"schema_version":"1.0","source":{"id":"1809.07951","kind":"arxiv","version":1}},"canonical_sha256":"c28f939d832366dde6c77e9d477e7f8d1f1724b306658dc8115d7ba0989e2ed8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c28f939d832366dde6c77e9d477e7f8d1f1724b306658dc8115d7ba0989e2ed8","first_computed_at":"2026-05-18T00:05:10.778325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:10.778325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vRkURXyVwFG9l34tNntc1UU9vSOV+vf/2Kg6od2YdRyNrNHN1NNw8VaBMZmlyvpDqPKoptDPY6qgovRC2ijIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:10.778833Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.07951","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0cfa2d2e8882838fe4d84eeb2103b5425b0b6b5f6e3ec073a38c7aea1f488fa","sha256:f1e0b67dcfd09eb0769378983bf8234daed7c3a9cb39c45824ae07cd26351a58"],"state_sha256":"4e192ddcacda3c5141264e825f8d4c64da6a18f27db561f04c434fd73aa78005"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcakAIn1q5VMufprEe/Adx7xgw1X3gyYVE64ECD/v0sQh/fYuSEgtdgPSUUTKodw1iveb6neGDM+5+6Xyo98Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:09:28.128633Z","bundle_sha256":"9d7a77727a832c493b618dfb8d4f6dce5f979a2093062bb57b2d781fb1d61a8a"}}