{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:T4TGGVNRGLFOVYMGIUKP6RNK7W","short_pith_number":"pith:T4TGGVNR","canonical_record":{"source":{"id":"1501.01955","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-08T20:58:57Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"b47fa2b5c884edc06f0d3b0c8010840310bcc9fd47249492823c99319d537055","abstract_canon_sha256":"9c6ede742722e7429b1a996c013f45fbe56ddd4f0b82c4ca5c2139805c14d762"},"schema_version":"1.0"},"canonical_sha256":"9f266355b132caeae1864514ff45aafd9002f165a438a1038cc7dc9d188dd430","source":{"kind":"arxiv","id":"1501.01955","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01955","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01955v4","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01955","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"T4TGGVNRGLFO","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T4TGGVNRGLFOVYMG","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T4TGGVNR","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:T4TGGVNRGLFOVYMGIUKP6RNK7W","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01955","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-08T20:58:57Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"b47fa2b5c884edc06f0d3b0c8010840310bcc9fd47249492823c99319d537055","abstract_canon_sha256":"9c6ede742722e7429b1a996c013f45fbe56ddd4f0b82c4ca5c2139805c14d762"},"schema_version":"1.0"},"canonical_sha256":"9f266355b132caeae1864514ff45aafd9002f165a438a1038cc7dc9d188dd430","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.678948Z","signature_b64":"KNx5vSDYbJhMJ5CiEwThEkWCnzJnqXkWDjP+evy3ctGcCi6fBIQ4e99q40AK0A261wsSupfPb0ZK9vqKiTHODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f266355b132caeae1864514ff45aafd9002f165a438a1038cc7dc9d188dd430","last_reissued_at":"2026-05-18T00:34:10.678404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.678404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01955","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mlpJIEfWxbi8oBRrQUIKTU9HvLZ7lHGX/yfZVSserZlH5/vteNWPaRLKAm4OcaxPhjWNWrmaF6zRj5sUZ+DFCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:24:49.609308Z"},"content_sha256":"68ebaa00156f86fae10e188fea50d086d3347b2ec1ab37bd132455142b1a8ea4","schema_version":"1.0","event_id":"sha256:68ebaa00156f86fae10e188fea50d086d3347b2ec1ab37bd132455142b1a8ea4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:T4TGGVNRGLFOVYMGIUKP6RNK7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"math.AP","authors_text":"A. Sergyeyev","submitted_at":"2015-01-08T20:58:57Z","abstract_excerpt":"We present a simple novel construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear in the spectral parameter and do not involve the derivatives with respect to the latter. New examples of recursion operators obtained using our technique include {\\em inter alia} those for the general heavenly equation, which describes a class of anti-self-dual solutions of the vacuum Einstein equations, and a six-dimensional equation resulting from a system of Ferapontov and Khusnutdinova."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01955","kind":"arxiv","version":4},"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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GZ+WivQ1pWAZLP/ydWQLQyHx3c72y3JJtu4W6qbduHBNTinYrVBF9v29haM7KBMdc7yoxI1Gu4rB5QnU+fkVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:24:49.609663Z"},"content_sha256":"f2d441ebe05865ba755341dc3341618208b8a6576f6686af400fd54fb68dafcb","schema_version":"1.0","event_id":"sha256:f2d441ebe05865ba755341dc3341618208b8a6576f6686af400fd54fb68dafcb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/bundle.json","state_url":"https://pith.science/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/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":"2026-06-02T13:24:49Z","links":{"resolver":"https://pith.science/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W","bundle":"https://pith.science/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/bundle.json","state":"https://pith.science/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T4TGGVNRGLFOVYMGIUKP6RNK7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:T4TGGVNRGLFOVYMGIUKP6RNK7W","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":"9c6ede742722e7429b1a996c013f45fbe56ddd4f0b82c4ca5c2139805c14d762","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-08T20:58:57Z","title_canon_sha256":"b47fa2b5c884edc06f0d3b0c8010840310bcc9fd47249492823c99319d537055"},"schema_version":"1.0","source":{"id":"1501.01955","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01955","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01955v4","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01955","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"T4TGGVNRGLFO","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T4TGGVNRGLFOVYMG","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T4TGGVNR","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:f2d441ebe05865ba755341dc3341618208b8a6576f6686af400fd54fb68dafcb","target":"graph","created_at":"2026-05-18T00:34:10Z","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 present a simple novel construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear in the spectral parameter and do not involve the derivatives with respect to the latter. New examples of recursion operators obtained using our technique include {\\em inter alia} those for the general heavenly equation, which describes a class of anti-self-dual solutions of the vacuum Einstein equations, and a six-dimensional equation resulting from a system of Ferapontov and Khusnutdinova.","authors_text":"A. Sergyeyev","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-08T20:58:57Z","title":"A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01955","kind":"arxiv","version":4},"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":"sha256:68ebaa00156f86fae10e188fea50d086d3347b2ec1ab37bd132455142b1a8ea4","target":"record","created_at":"2026-05-18T00:34:10Z","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":"9c6ede742722e7429b1a996c013f45fbe56ddd4f0b82c4ca5c2139805c14d762","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-08T20:58:57Z","title_canon_sha256":"b47fa2b5c884edc06f0d3b0c8010840310bcc9fd47249492823c99319d537055"},"schema_version":"1.0","source":{"id":"1501.01955","kind":"arxiv","version":4}},"canonical_sha256":"9f266355b132caeae1864514ff45aafd9002f165a438a1038cc7dc9d188dd430","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f266355b132caeae1864514ff45aafd9002f165a438a1038cc7dc9d188dd430","first_computed_at":"2026-05-18T00:34:10.678404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.678404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KNx5vSDYbJhMJ5CiEwThEkWCnzJnqXkWDjP+evy3ctGcCi6fBIQ4e99q40AK0A261wsSupfPb0ZK9vqKiTHODw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.678948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01955","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68ebaa00156f86fae10e188fea50d086d3347b2ec1ab37bd132455142b1a8ea4","sha256:f2d441ebe05865ba755341dc3341618208b8a6576f6686af400fd54fb68dafcb"],"state_sha256":"b5ca87872d7f5a08bc560b5e73dcd641d43a7ed8c445e64b5fa42d0d11324e5f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IjiNTM50RhnwTXWbGY9RaDHDDNU4MIVl/1uvLsh18INWojuu2q+C08aU2nSBBGeRSvBB+jXU1kzP4th9q3bIAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:24:49.612234Z","bundle_sha256":"193ffdacd8c4ac589784563a63e8a9c903e148faf2c85fa8807542a66671f18b"}}