{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:E7U43TAYZ2F4PVEFLVBYXFADWW","short_pith_number":"pith:E7U43TAY","canonical_record":{"source":{"id":"1804.11330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-30T17:26:19Z","cross_cats_sorted":[],"title_canon_sha256":"c4a2a7056c0b7303a2107021a9cf5354fd632111e2234b920210fd6156f77e1d","abstract_canon_sha256":"a1abf2da97f94858f00bf92e310896eb5581c9c93ed8a2fb619300c731f62893"},"schema_version":"1.0"},"canonical_sha256":"27e9cdcc18ce8bc7d4855d438b9403b5b3957a884879fb4c6bf3e4e0177abde9","source":{"kind":"arxiv","id":"1804.11330","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.11330","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.11330v1","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.11330","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"pith_short_12","alias_value":"E7U43TAYZ2F4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"E7U43TAYZ2F4PVEF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"E7U43TAY","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:E7U43TAYZ2F4PVEFLVBYXFADWW","target":"record","payload":{"canonical_record":{"source":{"id":"1804.11330","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-30T17:26:19Z","cross_cats_sorted":[],"title_canon_sha256":"c4a2a7056c0b7303a2107021a9cf5354fd632111e2234b920210fd6156f77e1d","abstract_canon_sha256":"a1abf2da97f94858f00bf92e310896eb5581c9c93ed8a2fb619300c731f62893"},"schema_version":"1.0"},"canonical_sha256":"27e9cdcc18ce8bc7d4855d438b9403b5b3957a884879fb4c6bf3e4e0177abde9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:41.753591Z","signature_b64":"sm6apzui2fD5hZraaZXoeJaGqdj8C5SI++PP6zlchDnac2b137DGbBS2mRQGfzSfVTDKJiLzm+aUPrh7nZyzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27e9cdcc18ce8bc7d4855d438b9403b5b3957a884879fb4c6bf3e4e0177abde9","last_reissued_at":"2026-05-18T00:16:41.752969Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:41.752969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.11330","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":"2026-05-18T00:16:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y0Bk7K5Z1aJzg+zySYrAL9mQyjTkkoVsvQHjkBO13wpS7Ie/2diOgYvOQbm7BT0Xz68pV/EMH+ezga+qo8mUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:47:12.742139Z"},"content_sha256":"0bd7d96df45ca1ee298e9964657f9a902716bc90360090e152d61101cacb7c3c","schema_version":"1.0","event_id":"sha256:0bd7d96df45ca1ee298e9964657f9a902716bc90360090e152d61101cacb7c3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:E7U43TAYZ2F4PVEFLVBYXFADWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Omar Rodr\\'iguez-Tzompantzi","submitted_at":"2018-04-30T17:26:19Z","abstract_excerpt":"The Faddeev-Jackiw symplectic formalism for constrained systems is applied to analyze the dynamical content of a model describing two massive relativistic particles with interaction, which can also be interpreted as a bigravity model in one dimension. We systematically investigate the nature of the physical constraints, for which we also determine the zero-modes structure of the corresponding symplectic matrix. After identifying the whole set of constraints, we find out the transformation laws for all the set of dynamical variables corresponding to gauge symmetries, encoded in the remaining ze"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11330","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":"2026-05-18T00:16:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JB3PH/Q5Vqwg/wI5VCiMtSQKc4kdLLpxm/MJMInBXwGDBuJHKMVj0LuIBq6OO6ANmvL1rPE+TttmaxcOcHapDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T09:47:12.742528Z"},"content_sha256":"9692b1136248883eed3f65f144a5c59d5cbd3c38eb431d12e8a4877b08bc4659","schema_version":"1.0","event_id":"sha256:9692b1136248883eed3f65f144a5c59d5cbd3c38eb431d12e8a4877b08bc4659"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/bundle.json","state_url":"https://pith.science/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/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":"2026-05-25T09:47:12Z","links":{"resolver":"https://pith.science/pith/E7U43TAYZ2F4PVEFLVBYXFADWW","bundle":"https://pith.science/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/bundle.json","state":"https://pith.science/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E7U43TAYZ2F4PVEFLVBYXFADWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E7U43TAYZ2F4PVEFLVBYXFADWW","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":"a1abf2da97f94858f00bf92e310896eb5581c9c93ed8a2fb619300c731f62893","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-30T17:26:19Z","title_canon_sha256":"c4a2a7056c0b7303a2107021a9cf5354fd632111e2234b920210fd6156f77e1d"},"schema_version":"1.0","source":{"id":"1804.11330","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.11330","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.11330v1","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.11330","created_at":"2026-05-18T00:16:41Z"},{"alias_kind":"pith_short_12","alias_value":"E7U43TAYZ2F4","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"E7U43TAYZ2F4PVEF","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"E7U43TAY","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:9692b1136248883eed3f65f144a5c59d5cbd3c38eb431d12e8a4877b08bc4659","target":"graph","created_at":"2026-05-18T00:16:41Z","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 Faddeev-Jackiw symplectic formalism for constrained systems is applied to analyze the dynamical content of a model describing two massive relativistic particles with interaction, which can also be interpreted as a bigravity model in one dimension. We systematically investigate the nature of the physical constraints, for which we also determine the zero-modes structure of the corresponding symplectic matrix. After identifying the whole set of constraints, we find out the transformation laws for all the set of dynamical variables corresponding to gauge symmetries, encoded in the remaining ze","authors_text":"Omar Rodr\\'iguez-Tzompantzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-30T17:26:19Z","title":"Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.11330","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":"sha256:0bd7d96df45ca1ee298e9964657f9a902716bc90360090e152d61101cacb7c3c","target":"record","created_at":"2026-05-18T00:16:41Z","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":"a1abf2da97f94858f00bf92e310896eb5581c9c93ed8a2fb619300c731f62893","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-30T17:26:19Z","title_canon_sha256":"c4a2a7056c0b7303a2107021a9cf5354fd632111e2234b920210fd6156f77e1d"},"schema_version":"1.0","source":{"id":"1804.11330","kind":"arxiv","version":1}},"canonical_sha256":"27e9cdcc18ce8bc7d4855d438b9403b5b3957a884879fb4c6bf3e4e0177abde9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27e9cdcc18ce8bc7d4855d438b9403b5b3957a884879fb4c6bf3e4e0177abde9","first_computed_at":"2026-05-18T00:16:41.752969Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:41.752969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sm6apzui2fD5hZraaZXoeJaGqdj8C5SI++PP6zlchDnac2b137DGbBS2mRQGfzSfVTDKJiLzm+aUPrh7nZyzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:41.753591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.11330","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bd7d96df45ca1ee298e9964657f9a902716bc90360090e152d61101cacb7c3c","sha256:9692b1136248883eed3f65f144a5c59d5cbd3c38eb431d12e8a4877b08bc4659"],"state_sha256":"a884a8279423863521c3c8cd90caf8398247985fad59c6b385108c0e590187e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r7tnUjO84mZtztqvHRyQmIM/MMSpRDd5S65Ap4ZCIuwgFDi14x2FgSsDM9+uHaPLU53BxA7FBAfy+1gUmxOWDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T09:47:12.744974Z","bundle_sha256":"f9115b878cb0592d221cecb0002a2db0f8e95eba329abb176eb37cef84d2a9e4"}}