{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IU77NH6TJRVLO64LRZJH4WSBFU","short_pith_number":"pith:IU77NH6T","canonical_record":{"source":{"id":"1303.4904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T11:13:13Z","cross_cats_sorted":[],"title_canon_sha256":"59d6fb112fd67544a0e468367568258eababceab7b62a06bf0b5ddac675da9dd","abstract_canon_sha256":"f88860435d1ff6ece4861d497d5b2a4908d2de300becdfc5c4d483eec0d03437"},"schema_version":"1.0"},"canonical_sha256":"453ff69fd34c6ab77b8b8e527e5a412d0f02d3937c39da8fc5f02bb4a78bd019","source":{"kind":"arxiv","id":"1303.4904","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4904","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4904v2","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4904","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"pith_short_12","alias_value":"IU77NH6TJRVL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IU77NH6TJRVLO64L","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IU77NH6T","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IU77NH6TJRVLO64LRZJH4WSBFU","target":"record","payload":{"canonical_record":{"source":{"id":"1303.4904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T11:13:13Z","cross_cats_sorted":[],"title_canon_sha256":"59d6fb112fd67544a0e468367568258eababceab7b62a06bf0b5ddac675da9dd","abstract_canon_sha256":"f88860435d1ff6ece4861d497d5b2a4908d2de300becdfc5c4d483eec0d03437"},"schema_version":"1.0"},"canonical_sha256":"453ff69fd34c6ab77b8b8e527e5a412d0f02d3937c39da8fc5f02bb4a78bd019","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:00.567573Z","signature_b64":"uZRvgOPCLywbqPiZ4cmojzR6qaaxadjPbYM6VNMbtqpIk7gWncJ1kbF+AEFLcEuDaNDa2cfcYwF/dPTFqUqHDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"453ff69fd34c6ab77b8b8e527e5a412d0f02d3937c39da8fc5f02bb4a78bd019","last_reissued_at":"2026-05-18T01:18:00.566870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:00.566870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.4904","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"byxOlxYPtgB1NP/PI/xvWdiKF1i1kAbBAuLlFW8cDjHeglU8/GPED36cvgVyXaQSVS2l0KbcvST1F2mUVKumBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:19:03.659123Z"},"content_sha256":"ab3408bb5963ec0621fac4c03088d0b6c67fd52c7f5e25d25131b0ac47d96122","schema_version":"1.0","event_id":"sha256:ab3408bb5963ec0621fac4c03088d0b6c67fd52c7f5e25d25131b0ac47d96122"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IU77NH6TJRVLO64LRZJH4WSBFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrability of the double pendulum -- the Ramis' question","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Vladimir Salnikov","submitted_at":"2013-03-20T11:13:13Z","abstract_excerpt":"In this short note we address the problem of integrability of a double pendulum in the constant gravity field. We show its non-integrability using the combination of algebraic and numerical approaches, namely we compute the non-commuting generators of the monodromy group along a particular solution obtained numerically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4904","kind":"arxiv","version":2},"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":"2026-05-18T01:18:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"njelxMoQQCLIl+lhqEDxdZtKXWYE7qQm6SVyQpjL4Q5UZPZLom7Mu3XfJDru+EagBAPtrW2ufQtlAjA82+11Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:19:03.659493Z"},"content_sha256":"7951d5deb337faf85eb54a0cef7dff9d1c735efc3f2f7a44796c6bdfc08ad8bd","schema_version":"1.0","event_id":"sha256:7951d5deb337faf85eb54a0cef7dff9d1c735efc3f2f7a44796c6bdfc08ad8bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IU77NH6TJRVLO64LRZJH4WSBFU/bundle.json","state_url":"https://pith.science/pith/IU77NH6TJRVLO64LRZJH4WSBFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IU77NH6TJRVLO64LRZJH4WSBFU/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":"2026-05-31T08:19:03Z","links":{"resolver":"https://pith.science/pith/IU77NH6TJRVLO64LRZJH4WSBFU","bundle":"https://pith.science/pith/IU77NH6TJRVLO64LRZJH4WSBFU/bundle.json","state":"https://pith.science/pith/IU77NH6TJRVLO64LRZJH4WSBFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IU77NH6TJRVLO64LRZJH4WSBFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IU77NH6TJRVLO64LRZJH4WSBFU","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":"f88860435d1ff6ece4861d497d5b2a4908d2de300becdfc5c4d483eec0d03437","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T11:13:13Z","title_canon_sha256":"59d6fb112fd67544a0e468367568258eababceab7b62a06bf0b5ddac675da9dd"},"schema_version":"1.0","source":{"id":"1303.4904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4904","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4904v2","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4904","created_at":"2026-05-18T01:18:00Z"},{"alias_kind":"pith_short_12","alias_value":"IU77NH6TJRVL","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IU77NH6TJRVLO64L","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IU77NH6T","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:7951d5deb337faf85eb54a0cef7dff9d1c735efc3f2f7a44796c6bdfc08ad8bd","target":"graph","created_at":"2026-05-18T01:18:00Z","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":"In this short note we address the problem of integrability of a double pendulum in the constant gravity field. We show its non-integrability using the combination of algebraic and numerical approaches, namely we compute the non-commuting generators of the monodromy group along a particular solution obtained numerically.","authors_text":"Vladimir Salnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T11:13:13Z","title":"Integrability of the double pendulum -- the Ramis' question"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4904","kind":"arxiv","version":2},"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:ab3408bb5963ec0621fac4c03088d0b6c67fd52c7f5e25d25131b0ac47d96122","target":"record","created_at":"2026-05-18T01:18:00Z","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":"f88860435d1ff6ece4861d497d5b2a4908d2de300becdfc5c4d483eec0d03437","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T11:13:13Z","title_canon_sha256":"59d6fb112fd67544a0e468367568258eababceab7b62a06bf0b5ddac675da9dd"},"schema_version":"1.0","source":{"id":"1303.4904","kind":"arxiv","version":2}},"canonical_sha256":"453ff69fd34c6ab77b8b8e527e5a412d0f02d3937c39da8fc5f02bb4a78bd019","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"453ff69fd34c6ab77b8b8e527e5a412d0f02d3937c39da8fc5f02bb4a78bd019","first_computed_at":"2026-05-18T01:18:00.566870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:00.566870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uZRvgOPCLywbqPiZ4cmojzR6qaaxadjPbYM6VNMbtqpIk7gWncJ1kbF+AEFLcEuDaNDa2cfcYwF/dPTFqUqHDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:00.567573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab3408bb5963ec0621fac4c03088d0b6c67fd52c7f5e25d25131b0ac47d96122","sha256:7951d5deb337faf85eb54a0cef7dff9d1c735efc3f2f7a44796c6bdfc08ad8bd"],"state_sha256":"b8dd5efd239b45d10fabd9114cb39bf511f355f0233c009c35803ab9f8a63842"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O1dJ0uK+1jqjMZE93HHL8d161TTDwISfLI3rNmjYzIHa6rIVlKfDMnv0+tafZ6Lnh0t8cAZnRuj7E0LD2zFmBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:19:03.661527Z","bundle_sha256":"436e916e3b637f8aa832fdb9e96b3b890c30af20588e01e3bb1c23fa10c3ec88"}}