{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:A3XIS57MY72Z57VJVW2OUAWL56","short_pith_number":"pith:A3XIS57M","canonical_record":{"source":{"id":"1204.2514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-11T18:27:38Z","cross_cats_sorted":[],"title_canon_sha256":"332d5c6c37ba5c5602ef270744c300bcf6140b5dc591018e6a70e4a4272e83a3","abstract_canon_sha256":"5ec3ac0aea8f69edb5f8e3b68bac1b969368a708c44f5240fe45c9edb6958a24"},"schema_version":"1.0"},"canonical_sha256":"06ee8977ecc7f59efea9adb4ea02cbefb92617a7ccbb904eac955015ec20bc1c","source":{"kind":"arxiv","id":"1204.2514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2514","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2514v1","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2514","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"A3XIS57MY72Z","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"A3XIS57MY72Z57VJ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"A3XIS57M","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:A3XIS57MY72Z57VJVW2OUAWL56","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-11T18:27:38Z","cross_cats_sorted":[],"title_canon_sha256":"332d5c6c37ba5c5602ef270744c300bcf6140b5dc591018e6a70e4a4272e83a3","abstract_canon_sha256":"5ec3ac0aea8f69edb5f8e3b68bac1b969368a708c44f5240fe45c9edb6958a24"},"schema_version":"1.0"},"canonical_sha256":"06ee8977ecc7f59efea9adb4ea02cbefb92617a7ccbb904eac955015ec20bc1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:00.734715Z","signature_b64":"ErPBaZu2cjIYdcDjPhm5io5IRLLI8Pl7BHRk9Tu3KaLknt8dGcBZVHpRAtMZVByHS6PeJXc73Zbo5ZLjY+F0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06ee8977ecc7f59efea9adb4ea02cbefb92617a7ccbb904eac955015ec20bc1c","last_reissued_at":"2026-05-18T00:34:00.733992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:00.733992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2514","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":"2026-05-18T00:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YO4NYAd6lgft0Jd5DXUH+uZCkiXkCaON3L3cSeY9YlLBjjOyPgMFf/tnM69O6R9EdYmmXvh2I4TTu5YB2DiBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:14:32.967225Z"},"content_sha256":"560d31e4d12f15f00920bab316a637047d43c8160da0e9df5eeb695f6c5310f0","schema_version":"1.0","event_id":"sha256:560d31e4d12f15f00920bab316a637047d43c8160da0e9df5eeb695f6c5310f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:A3XIS57MY72Z57VJVW2OUAWL56","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Oriented Associativity Equations and Symmetry Consistent Conjugate Curvilinear Coordinate Nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Artur Sergyeyev, Maxim V. Pavlov","submitted_at":"2012-04-11T18:27:38Z","abstract_excerpt":"This paper is devoted to description of the relationship among oriented associativity equations, symmetry consistent conjugate curvilinear coordinate nets, and the widest associated class of semi- Hamiltonian hydrodynamic-type systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2514","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":"2026-05-18T00:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rpyi39aDTmNv8HM3EUX8A7NPRyJTXTJ/MU6KUDTWtDni+i7rk0HydMKHFrswoAA8BBkFj2RpEjF2u3HwyMkzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:14:32.967669Z"},"content_sha256":"3358d5ec2976fea060670967d707ed2d4f2c775a700e758e0d4d14126b289d1d","schema_version":"1.0","event_id":"sha256:3358d5ec2976fea060670967d707ed2d4f2c775a700e758e0d4d14126b289d1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3XIS57MY72Z57VJVW2OUAWL56/bundle.json","state_url":"https://pith.science/pith/A3XIS57MY72Z57VJVW2OUAWL56/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3XIS57MY72Z57VJVW2OUAWL56/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":"2026-05-27T22:14:32Z","links":{"resolver":"https://pith.science/pith/A3XIS57MY72Z57VJVW2OUAWL56","bundle":"https://pith.science/pith/A3XIS57MY72Z57VJVW2OUAWL56/bundle.json","state":"https://pith.science/pith/A3XIS57MY72Z57VJVW2OUAWL56/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3XIS57MY72Z57VJVW2OUAWL56/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:A3XIS57MY72Z57VJVW2OUAWL56","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":"5ec3ac0aea8f69edb5f8e3b68bac1b969368a708c44f5240fe45c9edb6958a24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-11T18:27:38Z","title_canon_sha256":"332d5c6c37ba5c5602ef270744c300bcf6140b5dc591018e6a70e4a4272e83a3"},"schema_version":"1.0","source":{"id":"1204.2514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2514","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2514v1","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2514","created_at":"2026-05-18T00:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"A3XIS57MY72Z","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"A3XIS57MY72Z57VJ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"A3XIS57M","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:3358d5ec2976fea060670967d707ed2d4f2c775a700e758e0d4d14126b289d1d","target":"graph","created_at":"2026-05-18T00:34:00Z","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":"This paper is devoted to description of the relationship among oriented associativity equations, symmetry consistent conjugate curvilinear coordinate nets, and the widest associated class of semi- Hamiltonian hydrodynamic-type systems.","authors_text":"Artur Sergyeyev, Maxim V. Pavlov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-11T18:27:38Z","title":"Oriented Associativity Equations and Symmetry Consistent Conjugate Curvilinear Coordinate Nets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2514","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":"sha256:560d31e4d12f15f00920bab316a637047d43c8160da0e9df5eeb695f6c5310f0","target":"record","created_at":"2026-05-18T00:34:00Z","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":"5ec3ac0aea8f69edb5f8e3b68bac1b969368a708c44f5240fe45c9edb6958a24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2012-04-11T18:27:38Z","title_canon_sha256":"332d5c6c37ba5c5602ef270744c300bcf6140b5dc591018e6a70e4a4272e83a3"},"schema_version":"1.0","source":{"id":"1204.2514","kind":"arxiv","version":1}},"canonical_sha256":"06ee8977ecc7f59efea9adb4ea02cbefb92617a7ccbb904eac955015ec20bc1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06ee8977ecc7f59efea9adb4ea02cbefb92617a7ccbb904eac955015ec20bc1c","first_computed_at":"2026-05-18T00:34:00.733992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:00.733992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ErPBaZu2cjIYdcDjPhm5io5IRLLI8Pl7BHRk9Tu3KaLknt8dGcBZVHpRAtMZVByHS6PeJXc73Zbo5ZLjY+F0Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:00.734715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560d31e4d12f15f00920bab316a637047d43c8160da0e9df5eeb695f6c5310f0","sha256:3358d5ec2976fea060670967d707ed2d4f2c775a700e758e0d4d14126b289d1d"],"state_sha256":"9530e27bcd7e9ee9a292d33e3353e019380414769223ee2b268274e2b5be42d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+foRCg3tpxYSOXYtdTlEZlV2hK9vzEhg1pAi79Gs6W4CIZFlzLACnSl0imkodbiyzoAsBBYLMv+3YUKECoSoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:14:32.970899Z","bundle_sha256":"51c88259a85523caa0035507c6ef7e4c9d5b64eff7c1f1f2a508266eab49828f"}}