{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:PUE3W6QKIYNPZW7C6I7GYAJK3H","short_pith_number":"pith:PUE3W6QK","canonical_record":{"source":{"id":"hep-th/9205110","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-05-29T13:31:51Z","cross_cats_sorted":[],"title_canon_sha256":"c7a1d01261e748c2dacb8c70e4537644488a56509316c07c6bff068084e24de4","abstract_canon_sha256":"b39bd81b0c781d39770d8f58e4b689ff3e226a89b3a65d9f8a35e432abd3025a"},"schema_version":"1.0"},"canonical_sha256":"7d09bb7a0a461afcdbe2f23e6c012ad9d539338bf0ceafe9420347aa76cbfb92","source":{"kind":"arxiv","id":"hep-th/9205110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9205110","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9205110v1","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9205110","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"PUE3W6QKIYNP","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_16","alias_value":"PUE3W6QKIYNPZW7C","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_8","alias_value":"PUE3W6QK","created_at":"2026-07-04T15:21:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:PUE3W6QKIYNPZW7C6I7GYAJK3H","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9205110","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-05-29T13:31:51Z","cross_cats_sorted":[],"title_canon_sha256":"c7a1d01261e748c2dacb8c70e4537644488a56509316c07c6bff068084e24de4","abstract_canon_sha256":"b39bd81b0c781d39770d8f58e4b689ff3e226a89b3a65d9f8a35e432abd3025a"},"schema_version":"1.0"},"canonical_sha256":"7d09bb7a0a461afcdbe2f23e6c012ad9d539338bf0ceafe9420347aa76cbfb92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:21:35.630233Z","signature_b64":"OwZCIdIbW1dNUikHt2QdUfbtqwpzB24nk9DnaVw/QV+4/wtXD7IL9rqy2tXh4BYyO3QUXR1nXPXFwzN7boedAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d09bb7a0a461afcdbe2f23e6c012ad9d539338bf0ceafe9420347aa76cbfb92","last_reissued_at":"2026-07-04T15:21:35.629805Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:21:35.629805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9205110","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":"2026-07-04T15:21:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8YAQjkWhWr2nek9SBlESCgc0bneH+ORoz6pChOFxidI6NPGXo5khHOV5BBGxBnUbbJMHNQZPL++bWPC2hhZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T05:47:57.047932Z"},"content_sha256":"b1f712c66c21c77e36ad113cd4ffdb3fbe71431cf1ae9173ed2428d187a49f23","schema_version":"1.0","event_id":"sha256:b1f712c66c21c77e36ad113cd4ffdb3fbe71431cf1ae9173ed2428d187a49f23"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:PUE3W6QKIYNPZW7C6I7GYAJK3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $\\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"I.M.Krichever","submitted_at":"1992-05-29T13:31:51Z","abstract_excerpt":"The universal Witham hierarchy is considered from the point of view of topological field theories. The $\\tau$-function for this hierarchy is defined. It is proved that the algebraic orbits of Whitham hierarchy can be identified with various topological matter models coupled with topological gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9205110","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9205110/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":"2026-07-04T15:21:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JsbsA23o92xLM3cfJsCTBN1KPKjI0bBoeAJyWF+GN49+B9spmh6vb2i2zud2oI/PBYc3KnznbkTVaJ8X6sNCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T05:47:57.048513Z"},"content_sha256":"bacf16e3065ce057bda80317c2eb0d0f27924b092439e8ee5b1bcf5556d43573","schema_version":"1.0","event_id":"sha256:bacf16e3065ce057bda80317c2eb0d0f27924b092439e8ee5b1bcf5556d43573"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/bundle.json","state_url":"https://pith.science/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/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":"2026-08-19T05:47:57Z","links":{"resolver":"https://pith.science/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H","bundle":"https://pith.science/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/bundle.json","state":"https://pith.science/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUE3W6QKIYNPZW7C6I7GYAJK3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:PUE3W6QKIYNPZW7C6I7GYAJK3H","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":"b39bd81b0c781d39770d8f58e4b689ff3e226a89b3a65d9f8a35e432abd3025a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-05-29T13:31:51Z","title_canon_sha256":"c7a1d01261e748c2dacb8c70e4537644488a56509316c07c6bff068084e24de4"},"schema_version":"1.0","source":{"id":"hep-th/9205110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9205110","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9205110v1","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9205110","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_12","alias_value":"PUE3W6QKIYNP","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_16","alias_value":"PUE3W6QKIYNPZW7C","created_at":"2026-07-04T15:21:35Z"},{"alias_kind":"pith_short_8","alias_value":"PUE3W6QK","created_at":"2026-07-04T15:21:35Z"}],"graph_snapshots":[{"event_id":"sha256:bacf16e3065ce057bda80317c2eb0d0f27924b092439e8ee5b1bcf5556d43573","target":"graph","created_at":"2026-07-04T15:21:35Z","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/9205110/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The universal Witham hierarchy is considered from the point of view of topological field theories. The $\\tau$-function for this hierarchy is defined. It is proved that the algebraic orbits of Whitham hierarchy can be identified with various topological matter models coupled with topological gravity.","authors_text":"I.M.Krichever","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-05-29T13:31:51Z","title":"The $\\tau$-function of the universal Whitham hierarchy, matrix models and topological field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9205110","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:b1f712c66c21c77e36ad113cd4ffdb3fbe71431cf1ae9173ed2428d187a49f23","target":"record","created_at":"2026-07-04T15:21:35Z","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":"b39bd81b0c781d39770d8f58e4b689ff3e226a89b3a65d9f8a35e432abd3025a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-05-29T13:31:51Z","title_canon_sha256":"c7a1d01261e748c2dacb8c70e4537644488a56509316c07c6bff068084e24de4"},"schema_version":"1.0","source":{"id":"hep-th/9205110","kind":"arxiv","version":1}},"canonical_sha256":"7d09bb7a0a461afcdbe2f23e6c012ad9d539338bf0ceafe9420347aa76cbfb92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d09bb7a0a461afcdbe2f23e6c012ad9d539338bf0ceafe9420347aa76cbfb92","first_computed_at":"2026-07-04T15:21:35.629805Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:21:35.629805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OwZCIdIbW1dNUikHt2QdUfbtqwpzB24nk9DnaVw/QV+4/wtXD7IL9rqy2tXh4BYyO3QUXR1nXPXFwzN7boedAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:21:35.630233Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9205110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1f712c66c21c77e36ad113cd4ffdb3fbe71431cf1ae9173ed2428d187a49f23","sha256:bacf16e3065ce057bda80317c2eb0d0f27924b092439e8ee5b1bcf5556d43573"],"state_sha256":"0ba2220dbf19dc1c84d813cd8ce28046a2a84b409d25819867f346fb1e213938"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+ytyCqUXjDs17z/PLaJV7YYuzbLS2FzA1Kooe43nVXiLKjZ1fiZngfoOsZmQnHiKP6ApPYIy/b1N2zynabsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T05:47:57.054479Z","bundle_sha256":"df93921d512a9397ea63ba7c082d80a3929cf5c151bfad2451216c9033444f6b"}}