{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PGBRLVOXUCU6ZUUOZ3OVTBI4CC","short_pith_number":"pith:PGBRLVOX","canonical_record":{"source":{"id":"1201.5061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:40:44Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"7992f6c4bf118be647f64828dd8d48d8e1b70f8b773509e8817c151b5e0b8e19","abstract_canon_sha256":"7212fd53ca21cf5d1915ca17d99d13c4a75a87f153e2112b4d41b47949997b7e"},"schema_version":"1.0"},"canonical_sha256":"798315d5d7a0a9ecd28ecedd59851c10a8dca038caf4e85e51093f0296439fb3","source":{"kind":"arxiv","id":"1201.5061","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5061","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5061v1","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5061","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"PGBRLVOXUCU6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PGBRLVOXUCU6ZUUO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PGBRLVOX","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PGBRLVOXUCU6ZUUOZ3OVTBI4CC","target":"record","payload":{"canonical_record":{"source":{"id":"1201.5061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:40:44Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"7992f6c4bf118be647f64828dd8d48d8e1b70f8b773509e8817c151b5e0b8e19","abstract_canon_sha256":"7212fd53ca21cf5d1915ca17d99d13c4a75a87f153e2112b4d41b47949997b7e"},"schema_version":"1.0"},"canonical_sha256":"798315d5d7a0a9ecd28ecedd59851c10a8dca038caf4e85e51093f0296439fb3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:42.630306Z","signature_b64":"Ry5q3W74HKvcRDktra7S5/Uizxn4LrvmjPwGETSgruBfyzMNy8Lw3yuAQUoSJSdsjy4Y+R+rT6eyfz38fV6jAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"798315d5d7a0a9ecd28ecedd59851c10a8dca038caf4e85e51093f0296439fb3","last_reissued_at":"2026-05-18T01:58:42.629523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:42.629523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.5061","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":"2026-05-18T01:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQr+6LdQ7Iv5q4dDm9RF/rW1QpsZhV8/lgLxlLQmhKHfnWmZ3Z3xswRN/fK+nc9gAopookgcP71M4skAaCkGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:04:43.338694Z"},"content_sha256":"c2071c293bbb6ad8cf147c44e354dc86737d3a0af72b7cb2398372c55da14aa0","schema_version":"1.0","event_id":"sha256:c2071c293bbb6ad8cf147c44e354dc86737d3a0af72b7cb2398372c55da14aa0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PGBRLVOXUCU6ZUUOZ3OVTBI4CC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the central quadric ansatz: integrable models and Painleve reductions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"nlin.SI","authors_text":"A. Zhang, B. Huard, E.V. Ferapontov","submitted_at":"2012-01-24T17:40:44Z","abstract_excerpt":"It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces are central quadrics in the space of independent variables (the so-called central quadric ansatz). It was demonstrated that generic solutions of this type are described by Painleve equations PIII and PII, respectively. The aim of our paper is threefold:\n  -- Based on the method of hydrodynamic reductions, we classify integrable models possessing the central quadric ansatz. This leads to the five canonical forms (inc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5061","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":"2026-05-18T01:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bqbOBCikYfOqMMfF9NA3aPyz6ZWP1lFIahFPy1SJ7o9yTnW/7C/J+WiUMxXNsE23ZqUB2sGsOvTV43PHY4JfAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:04:43.339029Z"},"content_sha256":"0565218af08ca6d18c15112c7379c295d83e3507f7f503b9f4dc4069a342e2ae","schema_version":"1.0","event_id":"sha256:0565218af08ca6d18c15112c7379c295d83e3507f7f503b9f4dc4069a342e2ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/bundle.json","state_url":"https://pith.science/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/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":"2026-06-20T08:04:43Z","links":{"resolver":"https://pith.science/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC","bundle":"https://pith.science/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/bundle.json","state":"https://pith.science/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PGBRLVOXUCU6ZUUOZ3OVTBI4CC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PGBRLVOXUCU6ZUUOZ3OVTBI4CC","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":"7212fd53ca21cf5d1915ca17d99d13c4a75a87f153e2112b4d41b47949997b7e","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:40:44Z","title_canon_sha256":"7992f6c4bf118be647f64828dd8d48d8e1b70f8b773509e8817c151b5e0b8e19"},"schema_version":"1.0","source":{"id":"1201.5061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5061","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5061v1","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5061","created_at":"2026-05-18T01:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"PGBRLVOXUCU6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PGBRLVOXUCU6ZUUO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PGBRLVOX","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:0565218af08ca6d18c15112c7379c295d83e3507f7f503b9f4dc4069a342e2ae","target":"graph","created_at":"2026-05-18T01:58:42Z","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":"It was observed by Tod and later by Dunajski and Tod that the Boyer-Finley (BF) and the dispersionless Kadomtsev-Petviashvili (dKP) equations possess solutions whose level surfaces are central quadrics in the space of independent variables (the so-called central quadric ansatz). It was demonstrated that generic solutions of this type are described by Painleve equations PIII and PII, respectively. The aim of our paper is threefold:\n  -- Based on the method of hydrodynamic reductions, we classify integrable models possessing the central quadric ansatz. This leads to the five canonical forms (inc","authors_text":"A. Zhang, B. Huard, E.V. Ferapontov","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:40:44Z","title":"On the central quadric ansatz: integrable models and Painleve reductions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5061","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:c2071c293bbb6ad8cf147c44e354dc86737d3a0af72b7cb2398372c55da14aa0","target":"record","created_at":"2026-05-18T01:58:42Z","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":"7212fd53ca21cf5d1915ca17d99d13c4a75a87f153e2112b4d41b47949997b7e","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-01-24T17:40:44Z","title_canon_sha256":"7992f6c4bf118be647f64828dd8d48d8e1b70f8b773509e8817c151b5e0b8e19"},"schema_version":"1.0","source":{"id":"1201.5061","kind":"arxiv","version":1}},"canonical_sha256":"798315d5d7a0a9ecd28ecedd59851c10a8dca038caf4e85e51093f0296439fb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"798315d5d7a0a9ecd28ecedd59851c10a8dca038caf4e85e51093f0296439fb3","first_computed_at":"2026-05-18T01:58:42.629523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:42.629523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ry5q3W74HKvcRDktra7S5/Uizxn4LrvmjPwGETSgruBfyzMNy8Lw3yuAQUoSJSdsjy4Y+R+rT6eyfz38fV6jAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:42.630306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2071c293bbb6ad8cf147c44e354dc86737d3a0af72b7cb2398372c55da14aa0","sha256:0565218af08ca6d18c15112c7379c295d83e3507f7f503b9f4dc4069a342e2ae"],"state_sha256":"b82429cb1ba0719d4514557dbb200b8c2a4a7fb7b56ebbc1c9c2dc287ee3b611"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9tEK9eSBUSCxBlc7ynxKJHXvPD5whrPZtTYq/sBZcvNL3XlYW0QmQo5mpehTmLI9KuiyajdlIHQI8Grw5GkHAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T08:04:43.340809Z","bundle_sha256":"4574c4c1205ebc8141fa37986827cc0cd2d2e0a2dd521302b9cdd8116968c1b8"}}