{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:VAIGJNOMIXV3GWHDZOA4GBARQR","short_pith_number":"pith:VAIGJNOM","canonical_record":{"source":{"id":"math-ph/0202012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-02-07T17:21:29Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"e0ca24c3fe25afc857189fbe304b5037838717c3527d825535e0d0677844576a","abstract_canon_sha256":"a104d6e0ac426286fc9a2e577ac56993e177ca0154be19c3448030600919c680"},"schema_version":"1.0"},"canonical_sha256":"a81064b5cc45ebb358e3cb81c3041184591bc18eb4a5db6dea3431d31d92b8c2","source":{"kind":"arxiv","id":"math-ph/0202012","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0202012","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0202012v1","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0202012","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"VAIGJNOMIXV3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VAIGJNOMIXV3GWHD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VAIGJNOM","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:VAIGJNOMIXV3GWHDZOA4GBARQR","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0202012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-02-07T17:21:29Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"e0ca24c3fe25afc857189fbe304b5037838717c3527d825535e0d0677844576a","abstract_canon_sha256":"a104d6e0ac426286fc9a2e577ac56993e177ca0154be19c3448030600919c680"},"schema_version":"1.0"},"canonical_sha256":"a81064b5cc45ebb358e3cb81c3041184591bc18eb4a5db6dea3431d31d92b8c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:31.999733Z","signature_b64":"1ZaUKg82+32KhRObcqUSqj4TJ3Y4TwmkeVAwodjktaA0ZA32kMC4hGMbyVfhNez7vftYWw+KsztzdgWvcWdCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a81064b5cc45ebb358e3cb81c3041184591bc18eb4a5db6dea3431d31d92b8c2","last_reissued_at":"2026-05-18T01:05:31.999215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:31.999215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0202012","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":"2026-05-18T01:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wao1AIPuJn7H+D74gNnHWlUQ0+hzZS8qRDmdvV1qZaTHntjHJDekfaop2LOuwcMiMKWqIwNZcvIQNe1nAGRUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:37:23.593498Z"},"content_sha256":"36102e7be8952cc7f4b3f06fec3dcc905bfc677b8e4aff435a00d88aacb2ee79","schema_version":"1.0","event_id":"sha256:36102e7be8952cc7f4b3f06fec3dcc905bfc677b8e4aff435a00d88aacb2ee79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:VAIGJNOMIXV3GWHDZOA4GBARQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new geometric setting for classical field theories","license":"","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"D. Martin de Diego, J.C. Marrero, M. de Leon","submitted_at":"2002-02-07T17:21:29Z","abstract_excerpt":"A new geometrical setting for classical field theories is introduced. This description is strongly inspired in the one due to Skinner and Rusk for singular lagrangians systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0202012","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":"2026-05-18T01:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRuv7VLYDDvOGbS8PJVEVRobNnHEIKbYUTLfYZg2T7Ge4p86VJJhGAuK370stm5QQDnnfJ4rg4Z+Pt43SSPGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T16:37:23.593851Z"},"content_sha256":"66d90b350ee6650cf8e6c46cd866a623884ee053ee404888d3aec56831db0dd7","schema_version":"1.0","event_id":"sha256:66d90b350ee6650cf8e6c46cd866a623884ee053ee404888d3aec56831db0dd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/bundle.json","state_url":"https://pith.science/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/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":"2026-06-09T16:37:23Z","links":{"resolver":"https://pith.science/pith/VAIGJNOMIXV3GWHDZOA4GBARQR","bundle":"https://pith.science/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/bundle.json","state":"https://pith.science/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAIGJNOMIXV3GWHDZOA4GBARQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:VAIGJNOMIXV3GWHDZOA4GBARQR","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":"a104d6e0ac426286fc9a2e577ac56993e177ca0154be19c3448030600919c680","cross_cats_sorted":["math.DG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-02-07T17:21:29Z","title_canon_sha256":"e0ca24c3fe25afc857189fbe304b5037838717c3527d825535e0d0677844576a"},"schema_version":"1.0","source":{"id":"math-ph/0202012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0202012","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0202012v1","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0202012","created_at":"2026-05-18T01:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"VAIGJNOMIXV3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VAIGJNOMIXV3GWHD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VAIGJNOM","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:66d90b350ee6650cf8e6c46cd866a623884ee053ee404888d3aec56831db0dd7","target":"graph","created_at":"2026-05-18T01:05:31Z","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":"A new geometrical setting for classical field theories is introduced. This description is strongly inspired in the one due to Skinner and Rusk for singular lagrangians systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.","authors_text":"D. Martin de Diego, J.C. Marrero, M. de Leon","cross_cats":["math.DG","math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2002-02-07T17:21:29Z","title":"A new geometric setting for classical field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0202012","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":"sha256:36102e7be8952cc7f4b3f06fec3dcc905bfc677b8e4aff435a00d88aacb2ee79","target":"record","created_at":"2026-05-18T01:05:31Z","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":"a104d6e0ac426286fc9a2e577ac56993e177ca0154be19c3448030600919c680","cross_cats_sorted":["math.DG","math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2002-02-07T17:21:29Z","title_canon_sha256":"e0ca24c3fe25afc857189fbe304b5037838717c3527d825535e0d0677844576a"},"schema_version":"1.0","source":{"id":"math-ph/0202012","kind":"arxiv","version":1}},"canonical_sha256":"a81064b5cc45ebb358e3cb81c3041184591bc18eb4a5db6dea3431d31d92b8c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a81064b5cc45ebb358e3cb81c3041184591bc18eb4a5db6dea3431d31d92b8c2","first_computed_at":"2026-05-18T01:05:31.999215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:31.999215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ZaUKg82+32KhRObcqUSqj4TJ3Y4TwmkeVAwodjktaA0ZA32kMC4hGMbyVfhNez7vftYWw+KsztzdgWvcWdCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:31.999733Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0202012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36102e7be8952cc7f4b3f06fec3dcc905bfc677b8e4aff435a00d88aacb2ee79","sha256:66d90b350ee6650cf8e6c46cd866a623884ee053ee404888d3aec56831db0dd7"],"state_sha256":"88e3cdc8fac6889c6add4a1df758e3e253de8e2a369c795ffad7006aee830601"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T/tHV5IksWpujtxkW/0JGwEHCncM7ERTMAxUL+tM/V43hkMpakuxqdNW3Eo1wnQxZOrzXywc6jkFk+gMBZFOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T16:37:23.595775Z","bundle_sha256":"1bef70e255b93cf5b49c8b06def53400725101e8b28c376db266981ce64ef831"}}