{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:W6EO5IQY6I2LAJNPODFNBZOEPO","short_pith_number":"pith:W6EO5IQY","canonical_record":{"source":{"id":"hep-th/0701163","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-18T06:48:20Z","cross_cats_sorted":[],"title_canon_sha256":"06b592971cd2af5c3adaa43f5c7296f0737c1d9304fe5e74dfe4398ff3f70423","abstract_canon_sha256":"7a87f6a9250de75718726165ea267965cf4d7ce70bdcb05832577efffa15fd03"},"schema_version":"1.0"},"canonical_sha256":"b788eea218f234b025af70cad0e5c47b81bc96eb58f5b1fa2997c4c6bd7ec52d","source":{"kind":"arxiv","id":"hep-th/0701163","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701163","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701163v2","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701163","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"W6EO5IQY6I2L","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"W6EO5IQY6I2LAJNP","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"W6EO5IQY","created_at":"2026-07-04T15:22:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:W6EO5IQY6I2LAJNPODFNBZOEPO","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0701163","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-18T06:48:20Z","cross_cats_sorted":[],"title_canon_sha256":"06b592971cd2af5c3adaa43f5c7296f0737c1d9304fe5e74dfe4398ff3f70423","abstract_canon_sha256":"7a87f6a9250de75718726165ea267965cf4d7ce70bdcb05832577efffa15fd03"},"schema_version":"1.0"},"canonical_sha256":"b788eea218f234b025af70cad0e5c47b81bc96eb58f5b1fa2997c4c6bd7ec52d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:11.386307Z","signature_b64":"30X1UFI5XkVFex7c9Yqj4Hq4Fa3JNZxK5d9GCefX/8T5oOCKVMHjsZbfgubYRE+nCMu2ORKFQk9tECwE7t2ECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b788eea218f234b025af70cad0e5c47b81bc96eb58f5b1fa2997c4c6bd7ec52d","last_reissued_at":"2026-07-04T15:22:11.385933Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:11.385933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0701163","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":"2026-07-04T15:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7p9akPRvsR1zuP4OnIpXUWq9TK3IXsiF0r11fXhNeqDBoZay5TjrjfjbZA+SeaaO/DAML88lV+3Xifgx4I/CBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:19:05.443638Z"},"content_sha256":"0d20e72ff81f5a97f8c40c25909a9be64db7218852241d9df3ae7fd8baea899b","schema_version":"1.0","event_id":"sha256:0d20e72ff81f5a97f8c40c25909a9be64db7218852241d9df3ae7fd8baea899b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:W6EO5IQY6I2LAJNPODFNBZOEPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Current Exchanges and Unconstrained Higher Spins","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Sagnotti (Scuola Normale Superiore, D. Francia (Chalmers U., France), Goteborg, INFN, Italy), J. Mourad (APC, Pisa, Sweden), U. Paris VII","submitted_at":"2007-01-18T06:48:20Z","abstract_excerpt":"The (Fang-)Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-)trace constraints on gauge fields and parameters. When these are relaxed, glimpses of the underlying geometry emerge: the field equations extend to non-local expressions involving the higher-spin curvatures, and with only a pair of additional fields an equivalent ``minimal'' local formulation is also possible. In this paper we complete the discussion of the ``minimal'' formulation for fully symmetric (spinor-) tensors, constructing one-parameter families of Lagrangians and extending them to (A)dS backgr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701163","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0701163/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o2UzfKtqjGeMEuOFa8A9hfWWAy6K+s7iAthuE3DByfNI3eMMIsDm/VGiSExE75yH7h+R2HYs5i/HB99i46jyCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T16:19:05.444607Z"},"content_sha256":"48229b8c0d0dc6300ad1776c24b63242524904cf5a660356fab91d64fbe84988","schema_version":"1.0","event_id":"sha256:48229b8c0d0dc6300ad1776c24b63242524904cf5a660356fab91d64fbe84988"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/bundle.json","state_url":"https://pith.science/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/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":"2026-08-08T16:19:05Z","links":{"resolver":"https://pith.science/pith/W6EO5IQY6I2LAJNPODFNBZOEPO","bundle":"https://pith.science/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/bundle.json","state":"https://pith.science/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W6EO5IQY6I2LAJNPODFNBZOEPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:W6EO5IQY6I2LAJNPODFNBZOEPO","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":"7a87f6a9250de75718726165ea267965cf4d7ce70bdcb05832577efffa15fd03","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-18T06:48:20Z","title_canon_sha256":"06b592971cd2af5c3adaa43f5c7296f0737c1d9304fe5e74dfe4398ff3f70423"},"schema_version":"1.0","source":{"id":"hep-th/0701163","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701163","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701163v2","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701163","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"W6EO5IQY6I2L","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"W6EO5IQY6I2LAJNP","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"W6EO5IQY","created_at":"2026-07-04T15:22:11Z"}],"graph_snapshots":[{"event_id":"sha256:48229b8c0d0dc6300ad1776c24b63242524904cf5a660356fab91d64fbe84988","target":"graph","created_at":"2026-07-04T15:22:11Z","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/0701163/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The (Fang-)Fronsdal formulation for free fully symmetric (spinor-) tensors rests on (gamma-)trace constraints on gauge fields and parameters. When these are relaxed, glimpses of the underlying geometry emerge: the field equations extend to non-local expressions involving the higher-spin curvatures, and with only a pair of additional fields an equivalent ``minimal'' local formulation is also possible. In this paper we complete the discussion of the ``minimal'' formulation for fully symmetric (spinor-) tensors, constructing one-parameter families of Lagrangians and extending them to (A)dS backgr","authors_text":"A. Sagnotti (Scuola Normale Superiore, D. Francia (Chalmers U., France), Goteborg, INFN, Italy), J. Mourad (APC, Pisa, Sweden), U. Paris VII","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-01-18T06:48:20Z","title":"Current Exchanges and Unconstrained Higher Spins"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701163","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":"sha256:0d20e72ff81f5a97f8c40c25909a9be64db7218852241d9df3ae7fd8baea899b","target":"record","created_at":"2026-07-04T15:22:11Z","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":"7a87f6a9250de75718726165ea267965cf4d7ce70bdcb05832577efffa15fd03","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-18T06:48:20Z","title_canon_sha256":"06b592971cd2af5c3adaa43f5c7296f0737c1d9304fe5e74dfe4398ff3f70423"},"schema_version":"1.0","source":{"id":"hep-th/0701163","kind":"arxiv","version":2}},"canonical_sha256":"b788eea218f234b025af70cad0e5c47b81bc96eb58f5b1fa2997c4c6bd7ec52d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b788eea218f234b025af70cad0e5c47b81bc96eb58f5b1fa2997c4c6bd7ec52d","first_computed_at":"2026-07-04T15:22:11.385933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:11.385933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"30X1UFI5XkVFex7c9Yqj4Hq4Fa3JNZxK5d9GCefX/8T5oOCKVMHjsZbfgubYRE+nCMu2ORKFQk9tECwE7t2ECg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:11.386307Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0701163","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d20e72ff81f5a97f8c40c25909a9be64db7218852241d9df3ae7fd8baea899b","sha256:48229b8c0d0dc6300ad1776c24b63242524904cf5a660356fab91d64fbe84988"],"state_sha256":"7f603e912ae7ec138e6789195926f38f3f0b77ffcbfef78fc408d447dd89c97b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5fyrvNEvagT6Sltttj2fij44GVqp8ck59OA0kxHOMP3QLkQ0DlW0w/1CKym7luhWDWU0as/wyxfBOYriokeAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T16:19:05.451772Z","bundle_sha256":"187726267b5c4fd9c157c836edfc024cbe9d5fe4d623456c7d37d4a2dcdc6be2"}}