{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1992:ZFST2EDMRK5TAGVJQ7334CW7R4","short_pith_number":"pith:ZFST2EDM","canonical_record":{"source":{"id":"hep-th/9205056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-05-16T15:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"d77557032c1d0723bdbd622b5a7fe0c6739868694fd646be39a8a5905719a9ff","abstract_canon_sha256":"60e77997863750eb9c45048a0be0b0a0fda6c49f9e80d8d140de5f968ffb9e53"},"schema_version":"1.0"},"canonical_sha256":"c9653d106c8abb301aa987f7be0adf8f34f22388a50ccbcd7ea1ffe67def7a8a","source":{"kind":"arxiv","id":"hep-th/9205056","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9205056","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9205056v1","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9205056","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZFST2EDMRK5T","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZFST2EDMRK5TAGVJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZFST2EDM","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1992:ZFST2EDMRK5TAGVJQ7334CW7R4","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9205056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1992-05-16T15:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"d77557032c1d0723bdbd622b5a7fe0c6739868694fd646be39a8a5905719a9ff","abstract_canon_sha256":"60e77997863750eb9c45048a0be0b0a0fda6c49f9e80d8d140de5f968ffb9e53"},"schema_version":"1.0"},"canonical_sha256":"c9653d106c8abb301aa987f7be0adf8f34f22388a50ccbcd7ea1ffe67def7a8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:25.467885Z","signature_b64":"1HNUL4NFDSQOsdGscyKrWJHT1pJDHApyqDDX13A4kvdzLPOdumcoDYTvMa89drldbtKlmajZ/H/3eJwSzuB5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9653d106c8abb301aa987f7be0adf8f34f22388a50ccbcd7ea1ffe67def7a8a","last_reissued_at":"2026-05-18T04:17:25.467287Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:25.467287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9205056","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":"2026-05-18T04:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6hvDKKavqhfz9oPjsPGd6mUO6e0Lf0Glx689UTo9ZIaXAhDorrh6d2iW99K6Ow1mdYvCTdcDfHv6qxmbv9w0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:42:08.351875Z"},"content_sha256":"612dc2df2e91e1b7c42c57474901799ebd050ce8be0cd75c9a42c6352056f848","schema_version":"1.0","event_id":"sha256:612dc2df2e91e1b7c42c57474901799ebd050ce8be0cd75c9a42c6352056f848"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1992:ZFST2EDMRK5TAGVJQ7334CW7R4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global KdV Flows and Stable 2D Quantum Gravity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Anders W\\\"atterstam, Clifford V.Johnson, Tim R. Morris","submitted_at":"1992-05-16T15:11:47Z","abstract_excerpt":"The string equation for the $[{\\tilde P},Q]=Q$ formulation of non--perturbatively stable 2D quantum gravity coupled to the $(2m-1,2)$ models is studied. Global KdV flows between the appropriate solutions are considered as deformations of two compatible linear problems. It is demonstrated that the necessary conditions for such flows to exist are satisfied. A numerical study reveals such flows between the pole--free solutions of pure gravity ($m=2$), the Lee--Yang edge model ($m=3$) and topological gravity ($m=1$). We conjecture that this is the case for all of the $m$--critical models. As the $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9205056","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":"2026-05-18T04:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gmjQuZbhucs02349dxd/4gME8iyUpX/LZcC9BSgRN7NKvXnw7xWCzf2B4eOGzXSvl6IWU3J60LV7cQg1YTi1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:42:08.352610Z"},"content_sha256":"adb0bd9a5971b8eef70f99c970dabb5a8e87ef72b0dda611f8d8d98694a7bb6b","schema_version":"1.0","event_id":"sha256:adb0bd9a5971b8eef70f99c970dabb5a8e87ef72b0dda611f8d8d98694a7bb6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/bundle.json","state_url":"https://pith.science/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/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":"2026-05-25T14:42:08Z","links":{"resolver":"https://pith.science/pith/ZFST2EDMRK5TAGVJQ7334CW7R4","bundle":"https://pith.science/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/bundle.json","state":"https://pith.science/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFST2EDMRK5TAGVJQ7334CW7R4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1992:ZFST2EDMRK5TAGVJQ7334CW7R4","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":"60e77997863750eb9c45048a0be0b0a0fda6c49f9e80d8d140de5f968ffb9e53","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-05-16T15:11:47Z","title_canon_sha256":"d77557032c1d0723bdbd622b5a7fe0c6739868694fd646be39a8a5905719a9ff"},"schema_version":"1.0","source":{"id":"hep-th/9205056","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9205056","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9205056v1","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9205056","created_at":"2026-05-18T04:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZFST2EDMRK5T","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZFST2EDMRK5TAGVJ","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZFST2EDM","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:adb0bd9a5971b8eef70f99c970dabb5a8e87ef72b0dda611f8d8d98694a7bb6b","target":"graph","created_at":"2026-05-18T04:17:25Z","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 string equation for the $[{\\tilde P},Q]=Q$ formulation of non--perturbatively stable 2D quantum gravity coupled to the $(2m-1,2)$ models is studied. Global KdV flows between the appropriate solutions are considered as deformations of two compatible linear problems. It is demonstrated that the necessary conditions for such flows to exist are satisfied. A numerical study reveals such flows between the pole--free solutions of pure gravity ($m=2$), the Lee--Yang edge model ($m=3$) and topological gravity ($m=1$). We conjecture that this is the case for all of the $m$--critical models. As the $","authors_text":"Anders W\\\"atterstam, Clifford V.Johnson, Tim R. Morris","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1992-05-16T15:11:47Z","title":"Global KdV Flows and Stable 2D Quantum Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9205056","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":"sha256:612dc2df2e91e1b7c42c57474901799ebd050ce8be0cd75c9a42c6352056f848","target":"record","created_at":"2026-05-18T04:17:25Z","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":"60e77997863750eb9c45048a0be0b0a0fda6c49f9e80d8d140de5f968ffb9e53","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1992-05-16T15:11:47Z","title_canon_sha256":"d77557032c1d0723bdbd622b5a7fe0c6739868694fd646be39a8a5905719a9ff"},"schema_version":"1.0","source":{"id":"hep-th/9205056","kind":"arxiv","version":1}},"canonical_sha256":"c9653d106c8abb301aa987f7be0adf8f34f22388a50ccbcd7ea1ffe67def7a8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9653d106c8abb301aa987f7be0adf8f34f22388a50ccbcd7ea1ffe67def7a8a","first_computed_at":"2026-05-18T04:17:25.467287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:25.467287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1HNUL4NFDSQOsdGscyKrWJHT1pJDHApyqDDX13A4kvdzLPOdumcoDYTvMa89drldbtKlmajZ/H/3eJwSzuB5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:25.467885Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9205056","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612dc2df2e91e1b7c42c57474901799ebd050ce8be0cd75c9a42c6352056f848","sha256:adb0bd9a5971b8eef70f99c970dabb5a8e87ef72b0dda611f8d8d98694a7bb6b"],"state_sha256":"4adcbb69fb6374856785260db2ad355aa29f53d7cccdff87438fd6fa27eb3977"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nrMnJ+AE3P0W/EdIjSUTkiy5O3XpRzvwYfwIs7WpEWm3pLLkkxq72L91liq4rK7cEe9RiH3MgJczVmhq5IORCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T14:42:08.356570Z","bundle_sha256":"a7e3931365ec4047b80da84b2d7a21e0dd5dc35acb6ec07bbcb0ea146759ab1b"}}