{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:KY6O7AFHTBFWLLSC7SADSD27ZT","short_pith_number":"pith:KY6O7AFH","canonical_record":{"source":{"id":"0905.2219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-05-13T23:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"ec6c4c084ec3a23c47e5abed6cb2f815ae69cdf6748a7098f5c0bb0be7f6caa3","abstract_canon_sha256":"a8ef014d3407ef3e38d014adce6ceecc5c7dd00059b3e2e1d31cadc0ab312be4"},"schema_version":"1.0"},"canonical_sha256":"563cef80a7984b65ae42fc80390f5fccf4ad2a094bd39fba2945399f23288d11","source":{"kind":"arxiv","id":"0905.2219","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2219","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2219v1","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2219","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"KY6O7AFHTBFW","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_16","alias_value":"KY6O7AFHTBFWLLSC","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_8","alias_value":"KY6O7AFH","created_at":"2026-07-04T15:42:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:KY6O7AFHTBFWLLSC7SADSD27ZT","target":"record","payload":{"canonical_record":{"source":{"id":"0905.2219","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-05-13T23:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"ec6c4c084ec3a23c47e5abed6cb2f815ae69cdf6748a7098f5c0bb0be7f6caa3","abstract_canon_sha256":"a8ef014d3407ef3e38d014adce6ceecc5c7dd00059b3e2e1d31cadc0ab312be4"},"schema_version":"1.0"},"canonical_sha256":"563cef80a7984b65ae42fc80390f5fccf4ad2a094bd39fba2945399f23288d11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:42:34.595142Z","signature_b64":"w+xxrRNkPaM7xvnhDk/XdcJwEt+wrriQqEScpH9cnyaG2EMDHfrjaAn5I0b6zskfnX2B1iln8nmugJV1tqIAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"563cef80a7984b65ae42fc80390f5fccf4ad2a094bd39fba2945399f23288d11","last_reissued_at":"2026-07-04T15:42:34.594625Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:42:34.594625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.2219","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":"2026-07-04T15:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zNsPT+jk+jqFkKFSW5NbX6bzCY4AvixGNdUSnb92bwATWHtNKox84CfxJ74NoA9jYYEEPEAdnbePrhJFsWGeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:13:25.512228Z"},"content_sha256":"3fa4bc61115527b22456324e93acaafcb39f04fed41de17a3377985790a71654","schema_version":"1.0","event_id":"sha256:3fa4bc61115527b22456324e93acaafcb39f04fed41de17a3377985790a71654"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:KY6O7AFHTBFWLLSC7SADSD27ZT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalisations of the Camassa-Holm equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Vladimir Novikov","submitted_at":"2009-05-13T23:22:10Z","abstract_excerpt":"We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearisation transformations for these equations. Some of the obtained equations seem to be new."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2219","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0905.2219/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JxIz4felaPbT8+zsNft1ydVfikdeZfHGNFuM7LIZSF/mZE9zpOisB/i2FcqaFLbybvjOlkFXlT11tMvoxWCVDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:13:25.512613Z"},"content_sha256":"b72493e1b52c56df5e02aadaf79499f5cf49bd334c79e97992d58fc636fd8e68","schema_version":"1.0","event_id":"sha256:b72493e1b52c56df5e02aadaf79499f5cf49bd334c79e97992d58fc636fd8e68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/bundle.json","state_url":"https://pith.science/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/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":"2026-08-05T01:13:25Z","links":{"resolver":"https://pith.science/pith/KY6O7AFHTBFWLLSC7SADSD27ZT","bundle":"https://pith.science/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/bundle.json","state":"https://pith.science/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KY6O7AFHTBFWLLSC7SADSD27ZT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KY6O7AFHTBFWLLSC7SADSD27ZT","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":"a8ef014d3407ef3e38d014adce6ceecc5c7dd00059b3e2e1d31cadc0ab312be4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-05-13T23:22:10Z","title_canon_sha256":"ec6c4c084ec3a23c47e5abed6cb2f815ae69cdf6748a7098f5c0bb0be7f6caa3"},"schema_version":"1.0","source":{"id":"0905.2219","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2219","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2219v1","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2219","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"KY6O7AFHTBFW","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_16","alias_value":"KY6O7AFHTBFWLLSC","created_at":"2026-07-04T15:42:34Z"},{"alias_kind":"pith_short_8","alias_value":"KY6O7AFH","created_at":"2026-07-04T15:42:34Z"}],"graph_snapshots":[{"event_id":"sha256:b72493e1b52c56df5e02aadaf79499f5cf49bd334c79e97992d58fc636fd8e68","target":"graph","created_at":"2026-07-04T15:42:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0905.2219/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5. We present the corresponding Lax representations or linearisation transformations for these equations. Some of the obtained equations seem to be new.","authors_text":"Vladimir Novikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-05-13T23:22:10Z","title":"Generalisations of the Camassa-Holm equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2219","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":"sha256:3fa4bc61115527b22456324e93acaafcb39f04fed41de17a3377985790a71654","target":"record","created_at":"2026-07-04T15:42:34Z","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":"a8ef014d3407ef3e38d014adce6ceecc5c7dd00059b3e2e1d31cadc0ab312be4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-05-13T23:22:10Z","title_canon_sha256":"ec6c4c084ec3a23c47e5abed6cb2f815ae69cdf6748a7098f5c0bb0be7f6caa3"},"schema_version":"1.0","source":{"id":"0905.2219","kind":"arxiv","version":1}},"canonical_sha256":"563cef80a7984b65ae42fc80390f5fccf4ad2a094bd39fba2945399f23288d11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"563cef80a7984b65ae42fc80390f5fccf4ad2a094bd39fba2945399f23288d11","first_computed_at":"2026-07-04T15:42:34.594625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:42:34.594625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w+xxrRNkPaM7xvnhDk/XdcJwEt+wrriQqEScpH9cnyaG2EMDHfrjaAn5I0b6zskfnX2B1iln8nmugJV1tqIAAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:42:34.595142Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.2219","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fa4bc61115527b22456324e93acaafcb39f04fed41de17a3377985790a71654","sha256:b72493e1b52c56df5e02aadaf79499f5cf49bd334c79e97992d58fc636fd8e68"],"state_sha256":"a2ef86b76768b30c06023a045f6a0af9f82b65f385e3f89432e0409a52afb038"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZN/MUoQXXQOi7+yCwjiKhY76Dnj6WsB6MH4APkklqOBf1/wQIv5PJftGh/wnE9Ejk2SVw0irACd+hs2z9K2CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T01:13:25.515330Z","bundle_sha256":"6c1c174886e2ff72550d6cb6ed8c653ab5fc89216cc7044d4b0ea3cb7347e82e"}}