{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YV6OO3F6F3UYK6KN4BTFCGBW7K","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":"5fd81f5c3f81650280331e9c2afc4202e0b7c5a0e1cd88e90cffbfca5149dd8a","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-15T09:59:02Z","title_canon_sha256":"817a585585d9431652ae685eff24dc5caf13a2d175bb5fea5056b05cc180129a"},"schema_version":"1.0","source":{"id":"1509.04472","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04472","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04472v1","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04472","created_at":"2026-05-18T01:30:00Z"},{"alias_kind":"pith_short_12","alias_value":"YV6OO3F6F3UY","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"YV6OO3F6F3UYK6KN","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"YV6OO3F6","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:1ff9138e92986045589f5f0a7874f2000dcb2b5c20e13d70019505c3e8d456a6","target":"graph","created_at":"2026-05-18T01:30:00Z","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 all formal solutions to the $\\hbar$-dependent KP hierarchy. They are characterized by certain Cauchy-like data. The solutions are found in the form of formal series for the tau-function of the hierarchy and for its logarithm (the F-function). An explicit combinatorial description of the coefficients of the series is provided.","authors_text":"A. Zabrodin, S. Natanzon","cross_cats":["hep-th","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-15T09:59:02Z","title":"Formal solution to the KP hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04472","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:f592e0af1f9cc0aa7ef6e6172d1f81acad41bddd749fcda3aeece0c927e061b2","target":"record","created_at":"2026-05-18T01:30:00Z","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":"5fd81f5c3f81650280331e9c2afc4202e0b7c5a0e1cd88e90cffbfca5149dd8a","cross_cats_sorted":["hep-th","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-15T09:59:02Z","title_canon_sha256":"817a585585d9431652ae685eff24dc5caf13a2d175bb5fea5056b05cc180129a"},"schema_version":"1.0","source":{"id":"1509.04472","kind":"arxiv","version":1}},"canonical_sha256":"c57ce76cbe2ee985794de066511836fa80f6f6a67cfd4539df607e078ca0a8bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c57ce76cbe2ee985794de066511836fa80f6f6a67cfd4539df607e078ca0a8bc","first_computed_at":"2026-05-18T01:30:00.785555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:00.785555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZ/B8z7MejurEmrvr3F0E/WTink9DsQcUolKnCJvD1FfowuVi0avEnYfBJ2wu8tNDrWGZnEhpP7fSzp1D7gtDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:00.786212Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04472","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f592e0af1f9cc0aa7ef6e6172d1f81acad41bddd749fcda3aeece0c927e061b2","sha256:1ff9138e92986045589f5f0a7874f2000dcb2b5c20e13d70019505c3e8d456a6"],"state_sha256":"be621af8292bea137ee7956ed43f6128c59524be408c2e8e3efdc3f9638d2fcd"}