{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:GN3RDA2EULJXQ3CICJR5AXMGIT","short_pith_number":"pith:GN3RDA2E","canonical_record":{"source":{"id":"hep-th/0207002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-07-01T08:18:42Z","cross_cats_sorted":[],"title_canon_sha256":"d80f83df2dda2a8df09ea7596804277011c6e1b3c553294863aeda3c1ec3b65a","abstract_canon_sha256":"0f4ec648140f9f5c30b2321865db920ba0cc1452d566333a676012d27d55cabe"},"schema_version":"1.0"},"canonical_sha256":"3377118344a2d3786c481263d05d8644f73c4e0cd802e08b77a5da0bc4a3db7f","source":{"kind":"arxiv","id":"hep-th/0207002","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0207002","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0207002v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0207002","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"GN3RDA2EULJX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GN3RDA2EULJXQ3CI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GN3RDA2E","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:GN3RDA2EULJXQ3CICJR5AXMGIT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0207002","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-07-01T08:18:42Z","cross_cats_sorted":[],"title_canon_sha256":"d80f83df2dda2a8df09ea7596804277011c6e1b3c553294863aeda3c1ec3b65a","abstract_canon_sha256":"0f4ec648140f9f5c30b2321865db920ba0cc1452d566333a676012d27d55cabe"},"schema_version":"1.0"},"canonical_sha256":"3377118344a2d3786c481263d05d8644f73c4e0cd802e08b77a5da0bc4a3db7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:49.364648Z","signature_b64":"mRUlIfyVPpVyFAfi33aukU/0UDsOvUE9g8QUHS61EgtJ4hDy5aF3VaDV2MIW/kPF5PAJyewva0qeNCsu7twMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3377118344a2d3786c481263d05d8644f73c4e0cd802e08b77a5da0bc4a3db7f","last_reissued_at":"2026-05-18T01:38:49.364153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:49.364153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0207002","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSmdbr0jOmdCdCLSTKPWsAgwmvOBzcwOjX1UFkh8Wut2W1yX/pKKTBAoTpacAHqxnjPkf8LduBT6SZgACQZ6BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:54:43.792627Z"},"content_sha256":"001ce136d356b744e1384ff219b3dcde50e4135db7299e9e6fe2b1443696d7c4","schema_version":"1.0","event_id":"sha256:001ce136d356b744e1384ff219b3dcde50e4135db7299e9e6fe2b1443696d7c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:GN3RDA2EULJXQ3CICJR5AXMGIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Free geometric equations for higher spins","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Sagnotti (U. Roma \"Tor Vergata\"), D. Francia","submitted_at":"2002-07-01T08:18:42Z","abstract_excerpt":"We show how allowing non-local terms in the field equations of symmetric tensors uncovers a neat geometry that naturally generalizes the Maxwell and Einstein cases. The end results can be related to multiple traces of the generalized Riemann curvatures R_{alpha_1 ... alpha_s; beta_1 > ... beta_s} introduced by de Wit and Freedman, divided by suitable powers of the D'Alembertian operator \\Box. The conventional local equations can be recovered by a partial gauge fixing involving the trace of the gauge parameters Lambda_{alpha_1 ... alpha_{s-1}}, absent in the Fronsdal formulation. The same geome"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0207002","kind":"arxiv","version":2},"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":"2026-05-18T01:38:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDniyvI/Tn5WnO5ktxndBhlJM4vmBbqZoFokIxI/KroVs4jYokTzFRP+Ew/gU1ZbKcu1FmD4LkR2TtDRI0icCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:54:43.793478Z"},"content_sha256":"9002c1ea2baea1129b685debd53c3e6a2f32e87d003bc99660c0966d7e11677c","schema_version":"1.0","event_id":"sha256:9002c1ea2baea1129b685debd53c3e6a2f32e87d003bc99660c0966d7e11677c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/bundle.json","state_url":"https://pith.science/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/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":"2026-08-11T19:54:43Z","links":{"resolver":"https://pith.science/pith/GN3RDA2EULJXQ3CICJR5AXMGIT","bundle":"https://pith.science/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/bundle.json","state":"https://pith.science/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GN3RDA2EULJXQ3CICJR5AXMGIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:GN3RDA2EULJXQ3CICJR5AXMGIT","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":"0f4ec648140f9f5c30b2321865db920ba0cc1452d566333a676012d27d55cabe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-07-01T08:18:42Z","title_canon_sha256":"d80f83df2dda2a8df09ea7596804277011c6e1b3c553294863aeda3c1ec3b65a"},"schema_version":"1.0","source":{"id":"hep-th/0207002","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0207002","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0207002v2","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0207002","created_at":"2026-05-18T01:38:49Z"},{"alias_kind":"pith_short_12","alias_value":"GN3RDA2EULJX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GN3RDA2EULJXQ3CI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GN3RDA2E","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:9002c1ea2baea1129b685debd53c3e6a2f32e87d003bc99660c0966d7e11677c","target":"graph","created_at":"2026-05-18T01:38:49Z","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":"We show how allowing non-local terms in the field equations of symmetric tensors uncovers a neat geometry that naturally generalizes the Maxwell and Einstein cases. The end results can be related to multiple traces of the generalized Riemann curvatures R_{alpha_1 ... alpha_s; beta_1 > ... beta_s} introduced by de Wit and Freedman, divided by suitable powers of the D'Alembertian operator \\Box. The conventional local equations can be recovered by a partial gauge fixing involving the trace of the gauge parameters Lambda_{alpha_1 ... alpha_{s-1}}, absent in the Fronsdal formulation. The same geome","authors_text":"A. Sagnotti (U. Roma \"Tor Vergata\"), D. Francia","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-07-01T08:18:42Z","title":"Free geometric equations for higher spins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0207002","kind":"arxiv","version":2},"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":"sha256:001ce136d356b744e1384ff219b3dcde50e4135db7299e9e6fe2b1443696d7c4","target":"record","created_at":"2026-05-18T01:38:49Z","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":"0f4ec648140f9f5c30b2321865db920ba0cc1452d566333a676012d27d55cabe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-07-01T08:18:42Z","title_canon_sha256":"d80f83df2dda2a8df09ea7596804277011c6e1b3c553294863aeda3c1ec3b65a"},"schema_version":"1.0","source":{"id":"hep-th/0207002","kind":"arxiv","version":2}},"canonical_sha256":"3377118344a2d3786c481263d05d8644f73c4e0cd802e08b77a5da0bc4a3db7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3377118344a2d3786c481263d05d8644f73c4e0cd802e08b77a5da0bc4a3db7f","first_computed_at":"2026-05-18T01:38:49.364153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:49.364153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRUlIfyVPpVyFAfi33aukU/0UDsOvUE9g8QUHS61EgtJ4hDy5aF3VaDV2MIW/kPF5PAJyewva0qeNCsu7twMDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:49.364648Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0207002","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:001ce136d356b744e1384ff219b3dcde50e4135db7299e9e6fe2b1443696d7c4","sha256:9002c1ea2baea1129b685debd53c3e6a2f32e87d003bc99660c0966d7e11677c"],"state_sha256":"0cdaee7c0d757f86440f5f68fdd5b17fc8f289abfdaaed86d287957f457e5592"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vMe4E9Fi+5zB2pdPjKEe+Yrym5T/8RotmKgYPvFgyfsPIfpuCmeOaIFyVAnZDgFCufwD1z0gDwDUb8DwXG2UDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:54:43.799814Z","bundle_sha256":"9dfa1ca91a00142ea77f19ea252fcc519b41f2151488797a890999c0736255b3"}}