{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:U3X7ARC5A2MCM2SU4AOFG43VHA","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":"21695ee403d9bdb254fda622e092901cadadaf0cb7fdd23faa5834b14afff328","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-29T18:38:22Z","title_canon_sha256":"4d538d8ba615b555de53568032e45b2474cc0be1775beebd33d5b244d4e93c5c"},"schema_version":"1.0","source":{"id":"hep-th/0512342","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512342","created_at":"2026-07-04T15:17:51Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512342v3","created_at":"2026-07-04T15:17:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512342","created_at":"2026-07-04T15:17:51Z"},{"alias_kind":"pith_short_12","alias_value":"U3X7ARC5A2MC","created_at":"2026-07-04T15:17:51Z"},{"alias_kind":"pith_short_16","alias_value":"U3X7ARC5A2MCM2SU","created_at":"2026-07-04T15:17:51Z"},{"alias_kind":"pith_short_8","alias_value":"U3X7ARC5","created_at":"2026-07-04T15:17:51Z"}],"graph_snapshots":[{"event_id":"sha256:3c7942606a9a24211f0c9aec4d331fe3f5980879ce149ee64701964413e0aaa8","target":"graph","created_at":"2026-07-04T15:17:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0512342/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the light-cone formulation of relativistic dynamics, we develop various methods for constructing cubic interaction vertices and apply these methods to the study of higher spin fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic interaction vertices for massive and massless higher spin fields of arbitrary symmetry are obtained. We derive restrictions on the allowed values of spins and the number of derivatives, which provide a classification of cubic interaction vertices for totally symmetric fields. As an example of ","authors_text":"R.R. Metsaev","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-12-29T18:38:22Z","title":"Cubic interaction vertices for massive and massless higher spin fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512342","kind":"arxiv","version":3},"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:a3adc79fd603407a2f4e507045c1b96f2b3b2b18215b3be8f892278e7273f0c9","target":"record","created_at":"2026-07-04T15:17:51Z","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":"21695ee403d9bdb254fda622e092901cadadaf0cb7fdd23faa5834b14afff328","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-29T18:38:22Z","title_canon_sha256":"4d538d8ba615b555de53568032e45b2474cc0be1775beebd33d5b244d4e93c5c"},"schema_version":"1.0","source":{"id":"hep-th/0512342","kind":"arxiv","version":3}},"canonical_sha256":"a6eff0445d0698266a54e01c53737538017859045dce6ad26125489a4c45a753","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6eff0445d0698266a54e01c53737538017859045dce6ad26125489a4c45a753","first_computed_at":"2026-07-04T15:17:51.220011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:17:51.220011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x28+bqFMRN6tk+pHOizbGojBDEyd13i7o2W6QV7rsif2GJLdAQIEOFBTY5gv44FDcoZY6ebQZEl3VzTbPtLbBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:17:51.220427Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0512342","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3adc79fd603407a2f4e507045c1b96f2b3b2b18215b3be8f892278e7273f0c9","sha256:3c7942606a9a24211f0c9aec4d331fe3f5980879ce149ee64701964413e0aaa8"],"state_sha256":"9d42c9f578574a0ed31591ad42cba8db421e3983dcd794f36d4e8ea6f97e8230"}