{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MTZ5CIILSIB42ZM3NZQUXNYZDU","short_pith_number":"pith:MTZ5CIIL","canonical_record":{"source":{"id":"1202.4477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T21:44:44Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"046001e4df1c3b1df5ba45e2460567a88b0933b17b0415be179738a8b78e9eb1","abstract_canon_sha256":"93a449cba40ad286982c3647bb7c0ebc79e61ad53967d5a010b9fc61aa534c5f"},"schema_version":"1.0"},"canonical_sha256":"64f3d1210b9203cd659b6e614bb7191d03d9473ccb3dff5a8058c7c24ff94eae","source":{"kind":"arxiv","id":"1202.4477","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4477","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4477v1","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4477","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"MTZ5CIILSIB4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MTZ5CIILSIB42ZM3","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MTZ5CIIL","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MTZ5CIILSIB42ZM3NZQUXNYZDU","target":"record","payload":{"canonical_record":{"source":{"id":"1202.4477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T21:44:44Z","cross_cats_sorted":["math.DG","math.MP"],"title_canon_sha256":"046001e4df1c3b1df5ba45e2460567a88b0933b17b0415be179738a8b78e9eb1","abstract_canon_sha256":"93a449cba40ad286982c3647bb7c0ebc79e61ad53967d5a010b9fc61aa534c5f"},"schema_version":"1.0"},"canonical_sha256":"64f3d1210b9203cd659b6e614bb7191d03d9473ccb3dff5a8058c7c24ff94eae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:49.931248Z","signature_b64":"X1TVIaKht1zynjeG0MsSEvuEsLKjtijDU0KDI2eFe/P10X93hjdQ7uN2fjD280V3zCK6KKPfDfNNL+k1AwuhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64f3d1210b9203cd659b6e614bb7191d03d9473ccb3dff5a8058c7c24ff94eae","last_reissued_at":"2026-05-18T03:18:49.930680Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:49.930680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.4477","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":"2026-05-18T03:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZX+CCmYhOZz9a/Nkms2LNjiiFj9yDFTGkZ6HrI9CUCsX9CaDWG6hmYLSNAEk7Gy35KBFH0pbelEiYzjIxcQdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T07:01:33.872651Z"},"content_sha256":"bf8e76d68b7ce1862b9a0a7931b09ef198ba92fab8104ec7386c76daa991de08","schema_version":"1.0","event_id":"sha256:bf8e76d68b7ce1862b9a0a7931b09ef198ba92fab8104ec7386c76daa991de08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MTZ5CIILSIB42ZM3NZQUXNYZDU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From quadratic Hamiltonians of polymomenta to abstract geometrical Maxwell-like and Einstein-like equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Alexandru Oana, Mircea Neagu","submitted_at":"2012-02-20T21:44:44Z","abstract_excerpt":"The aim of this paper is to create a large geometrical background on the dual 1-jet space J^{1*}(T,M) for a multi-time Hamiltonian approach of the electromagnetic and gravitational physical fields. Our geometric-physical construction is achieved starting only from a given quadratic Hamiltonian function of polymomenta H, which naturally produces a canonical nonlinear connection N, a canonical Cartan N-linear connection C\\Gamma(N) and their corresponding local distinguished (d-) torsions and curvatures. In such a context, we construct some geometrical electromagnetic-like and gravitational-like "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4477","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":"2026-05-18T03:18:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7rOqhY/IdDzh85O7LWWCd+SyRYZ1ajcjxezhmcgrKVRJyfxYa6RpGiSYkAa4C8cfRKnsXJQfovjdUh1GnzK7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T07:01:33.873487Z"},"content_sha256":"d591f266d6f56747fe2b3cad9d5efcc87171eb08b10b6968b464366a3dbb9dda","schema_version":"1.0","event_id":"sha256:d591f266d6f56747fe2b3cad9d5efcc87171eb08b10b6968b464366a3dbb9dda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/bundle.json","state_url":"https://pith.science/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/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":"2026-06-06T07:01:33Z","links":{"resolver":"https://pith.science/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU","bundle":"https://pith.science/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/bundle.json","state":"https://pith.science/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MTZ5CIILSIB42ZM3NZQUXNYZDU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MTZ5CIILSIB42ZM3NZQUXNYZDU","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":"93a449cba40ad286982c3647bb7c0ebc79e61ad53967d5a010b9fc61aa534c5f","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T21:44:44Z","title_canon_sha256":"046001e4df1c3b1df5ba45e2460567a88b0933b17b0415be179738a8b78e9eb1"},"schema_version":"1.0","source":{"id":"1202.4477","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.4477","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"arxiv_version","alias_value":"1202.4477v1","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4477","created_at":"2026-05-18T03:18:49Z"},{"alias_kind":"pith_short_12","alias_value":"MTZ5CIILSIB4","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MTZ5CIILSIB42ZM3","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MTZ5CIIL","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:d591f266d6f56747fe2b3cad9d5efcc87171eb08b10b6968b464366a3dbb9dda","target":"graph","created_at":"2026-05-18T03:18:49Z","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":"The aim of this paper is to create a large geometrical background on the dual 1-jet space J^{1*}(T,M) for a multi-time Hamiltonian approach of the electromagnetic and gravitational physical fields. Our geometric-physical construction is achieved starting only from a given quadratic Hamiltonian function of polymomenta H, which naturally produces a canonical nonlinear connection N, a canonical Cartan N-linear connection C\\Gamma(N) and their corresponding local distinguished (d-) torsions and curvatures. In such a context, we construct some geometrical electromagnetic-like and gravitational-like ","authors_text":"Alexandru Oana, Mircea Neagu","cross_cats":["math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T21:44:44Z","title":"From quadratic Hamiltonians of polymomenta to abstract geometrical Maxwell-like and Einstein-like equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4477","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:bf8e76d68b7ce1862b9a0a7931b09ef198ba92fab8104ec7386c76daa991de08","target":"record","created_at":"2026-05-18T03:18:49Z","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":"93a449cba40ad286982c3647bb7c0ebc79e61ad53967d5a010b9fc61aa534c5f","cross_cats_sorted":["math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-20T21:44:44Z","title_canon_sha256":"046001e4df1c3b1df5ba45e2460567a88b0933b17b0415be179738a8b78e9eb1"},"schema_version":"1.0","source":{"id":"1202.4477","kind":"arxiv","version":1}},"canonical_sha256":"64f3d1210b9203cd659b6e614bb7191d03d9473ccb3dff5a8058c7c24ff94eae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64f3d1210b9203cd659b6e614bb7191d03d9473ccb3dff5a8058c7c24ff94eae","first_computed_at":"2026-05-18T03:18:49.930680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:49.930680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X1TVIaKht1zynjeG0MsSEvuEsLKjtijDU0KDI2eFe/P10X93hjdQ7uN2fjD280V3zCK6KKPfDfNNL+k1AwuhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:49.931248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.4477","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8e76d68b7ce1862b9a0a7931b09ef198ba92fab8104ec7386c76daa991de08","sha256:d591f266d6f56747fe2b3cad9d5efcc87171eb08b10b6968b464366a3dbb9dda"],"state_sha256":"dab741087013ebbe5189ff3b9494e214fd2c48ea7e4481ea2deb0664c6fbfb9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QoLxQ9UMy2vS/6P4RsNC28CIx0q1AvX54LQqSu9K90O9gcZJaGhIYGzCQ1YuivnXUT9hUZSwHldQEBYCGS7dAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T07:01:33.877074Z","bundle_sha256":"b2779a0c9ffbec464d8b9ea7e67c40ea57f93d727b87794a23bd15bf6b3c4865"}}