{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QWDIEJJTSWTT4DY7DHOHEGF6JD","short_pith_number":"pith:QWDIEJJT","canonical_record":{"source":{"id":"1003.5236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-26T21:28:35Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"title_canon_sha256":"9f4ea8b21291ce5f788257fb3fba8aa94f28c0d6d36a63d3ccc75be872a3963a","abstract_canon_sha256":"b945dc0a693eb079873673b648098b0d6bba65efe33401feee458be9ec9068dc"},"schema_version":"1.0"},"canonical_sha256":"858682253395a73e0f1f19dc7218be48dee92a07af6f6a6e71ea8aeca33fedaa","source":{"kind":"arxiv","id":"1003.5236","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5236","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5236v1","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5236","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"QWDIEJJTSWTT","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWDIEJJTSWTT4DY7","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWDIEJJT","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QWDIEJJTSWTT4DY7DHOHEGF6JD","target":"record","payload":{"canonical_record":{"source":{"id":"1003.5236","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-26T21:28:35Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"title_canon_sha256":"9f4ea8b21291ce5f788257fb3fba8aa94f28c0d6d36a63d3ccc75be872a3963a","abstract_canon_sha256":"b945dc0a693eb079873673b648098b0d6bba65efe33401feee458be9ec9068dc"},"schema_version":"1.0"},"canonical_sha256":"858682253395a73e0f1f19dc7218be48dee92a07af6f6a6e71ea8aeca33fedaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:26.388641Z","signature_b64":"2l9A2ccSJ7pcT/Rm0Wz8LFg44WjZETMxJeYeLLtv6bk2P93qagFE5IqGdtZOVLo1Gf0x81AYUgrQk9HOPSD9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"858682253395a73e0f1f19dc7218be48dee92a07af6f6a6e71ea8aeca33fedaa","last_reissued_at":"2026-05-18T04:30:26.388210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:26.388210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.5236","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":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o8HivNGTFxaLTDHV0AJA3CybfUL12f3+Pd8gI1V1hsXPe2f01uwWvbOzm8q7kodUV17r5tKvunx9XST/xZ3pDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:28:56.787909Z"},"content_sha256":"dc569756b8959c24ab641c51090708f9c91bf4675a817fe77279c3433ad4c700","schema_version":"1.0","event_id":"sha256:dc569756b8959c24ab641c51090708f9c91bf4675a817fe77279c3433ad4c700"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QWDIEJJTSWTT4DY7DHOHEGF6JD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hamilton-Jacobi Formalism for Higher Order Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"L. Vitagliano","submitted_at":"2010-03-26T21:28:35Z","abstract_excerpt":"We extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of the formalism on the lagrangian density in the class of those yelding the same Euler-Lagrange equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5236","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":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XfWsWUiZnAVOXRxVn5CnKwHhz4Thusko0X3B9Wohp2vbyu5TvVMCFD2R6pE25J8CUKkT6JbDTZNbDmhBLFUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:28:56.788580Z"},"content_sha256":"00de688f3a1ee6227839050d29a68e052ff1d26668854fc2dd62c50ee9514aab","schema_version":"1.0","event_id":"sha256:00de688f3a1ee6227839050d29a68e052ff1d26668854fc2dd62c50ee9514aab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/bundle.json","state_url":"https://pith.science/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/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":"2026-06-08T19:28:56Z","links":{"resolver":"https://pith.science/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD","bundle":"https://pith.science/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/bundle.json","state":"https://pith.science/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWDIEJJTSWTT4DY7DHOHEGF6JD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QWDIEJJTSWTT4DY7DHOHEGF6JD","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":"b945dc0a693eb079873673b648098b0d6bba65efe33401feee458be9ec9068dc","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-26T21:28:35Z","title_canon_sha256":"9f4ea8b21291ce5f788257fb3fba8aa94f28c0d6d36a63d3ccc75be872a3963a"},"schema_version":"1.0","source":{"id":"1003.5236","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5236","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5236v1","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5236","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"QWDIEJJTSWTT","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWDIEJJTSWTT4DY7","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWDIEJJT","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:00de688f3a1ee6227839050d29a68e052ff1d26668854fc2dd62c50ee9514aab","target":"graph","created_at":"2026-05-18T04:30:26Z","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 extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of the formalism on the lagrangian density in the class of those yelding the same Euler-Lagrange equations.","authors_text":"L. Vitagliano","cross_cats":["gr-qc","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-26T21:28:35Z","title":"The Hamilton-Jacobi Formalism for Higher Order Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5236","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:dc569756b8959c24ab641c51090708f9c91bf4675a817fe77279c3433ad4c700","target":"record","created_at":"2026-05-18T04:30:26Z","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":"b945dc0a693eb079873673b648098b0d6bba65efe33401feee458be9ec9068dc","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-26T21:28:35Z","title_canon_sha256":"9f4ea8b21291ce5f788257fb3fba8aa94f28c0d6d36a63d3ccc75be872a3963a"},"schema_version":"1.0","source":{"id":"1003.5236","kind":"arxiv","version":1}},"canonical_sha256":"858682253395a73e0f1f19dc7218be48dee92a07af6f6a6e71ea8aeca33fedaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"858682253395a73e0f1f19dc7218be48dee92a07af6f6a6e71ea8aeca33fedaa","first_computed_at":"2026-05-18T04:30:26.388210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:26.388210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2l9A2ccSJ7pcT/Rm0Wz8LFg44WjZETMxJeYeLLtv6bk2P93qagFE5IqGdtZOVLo1Gf0x81AYUgrQk9HOPSD9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:26.388641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5236","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc569756b8959c24ab641c51090708f9c91bf4675a817fe77279c3433ad4c700","sha256:00de688f3a1ee6227839050d29a68e052ff1d26668854fc2dd62c50ee9514aab"],"state_sha256":"3e60ebdb1eb4a5346906124117bf45edb685a27d06d4dd1972e6803486012542"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F0GdaLplcMGUQGg5UIt5eRKm3wR5UH7gw+32uy3bjoLnLEJG5eli5vgM0UwHDij428i4OGm7lTEaGDtwqUwTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:28:56.792354Z","bundle_sha256":"2089aac3ac5e352e86b223f017c2691e9971218d210a97e04c866a5485f9083e"}}