{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:R5BO4VRVLJQJV5PPBT3WXWDQDA","short_pith_number":"pith:R5BO4VRV","canonical_record":{"source":{"id":"1912.13476","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-31T18:26:46Z","cross_cats_sorted":[],"title_canon_sha256":"b588b97bca7ede7c41849e12e81e2c7d9d2807bc81a6aa855b06f7964a32ec8b","abstract_canon_sha256":"0246d0c433fcf9e689e45ef3503cafa30295caeffddc9b0d273f42af9ec65d05"},"schema_version":"1.0"},"canonical_sha256":"8f42ee56355a609af5ef0cf76bd87018353ace0f8a03afc578c571234e33e9e1","source":{"kind":"arxiv","id":"1912.13476","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.13476","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1912.13476v2","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.13476","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"R5BO4VRVLJQJ","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"R5BO4VRVLJQJV5PP","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"R5BO4VRV","created_at":"2026-07-05T01:18:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:R5BO4VRVLJQJV5PPBT3WXWDQDA","target":"record","payload":{"canonical_record":{"source":{"id":"1912.13476","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-31T18:26:46Z","cross_cats_sorted":[],"title_canon_sha256":"b588b97bca7ede7c41849e12e81e2c7d9d2807bc81a6aa855b06f7964a32ec8b","abstract_canon_sha256":"0246d0c433fcf9e689e45ef3503cafa30295caeffddc9b0d273f42af9ec65d05"},"schema_version":"1.0"},"canonical_sha256":"8f42ee56355a609af5ef0cf76bd87018353ace0f8a03afc578c571234e33e9e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:47.243426Z","signature_b64":"RPn1GXvpoSc3LFk0GNKVGh7LiTTmQeFEtoxmN051dW4ya/lW0BSKuAECp+fuPHQHuzNSekYwpt40dN/b89iwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f42ee56355a609af5ef0cf76bd87018353ace0f8a03afc578c571234e33e9e1","last_reissued_at":"2026-07-05T01:18:47.242980Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:47.242980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.13476","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":"2026-07-05T01:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gHjbf1PTRR9os5QyNX/G49NroLzTbHTlBSyu5wGqB6gJ7p8j75LN1osmTei/fFkBMQ4Jb/qMIZK9dE9vcyCQCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:05:20.245602Z"},"content_sha256":"1d9b3086c11c91ecfa46e8ca6c2421ade2d735c9803e6664abea56b3fb4743b1","schema_version":"1.0","event_id":"sha256:1d9b3086c11c91ecfa46e8ca6c2421ade2d735c9803e6664abea56b3fb4743b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:R5BO4VRVLJQJV5PPBT3WXWDQDA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Restrictions for $n$-Point Vertices in Higher-Spin Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Karapet Mkrtchyan, Olaf Kr\\\"uger, Stefan Fredenhagen","submitted_at":"2019-12-31T18:26:46Z","abstract_excerpt":"We give a simple classification of the independent $n$-point interaction vertices for bosonic higher-spin gauge fields in $d$-dimensional Minkowski space-times. We first give a characterisation of such vertices for large dimensions, $d \\geq 2n - 1$, where one does not have to consider Schouten identities due to over-antisymmetrisation of space-time indices. When the dimension is lowered, such identities have to be considered, but their appearance only leads to equivalences of large-$d$ vertices and does not lead to new types of vertices. We consider the case of low dimensions, $d<n$, in detail"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.13476","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/1912.13476/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":"2026-07-05T01:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M5Dik65YSi2CrJy9tlGvUOTevQ3VJJr/+3AdWXMSTqRVnFO1b6HJfNthBgYlsisd7I+Q8lEYDR1KDSSUO4NEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:05:20.246112Z"},"content_sha256":"2fb13a06b89729b7b532659ef2d47f7f51edd134c2c84b5774d4ab4a6f90aeda","schema_version":"1.0","event_id":"sha256:2fb13a06b89729b7b532659ef2d47f7f51edd134c2c84b5774d4ab4a6f90aeda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/bundle.json","state_url":"https://pith.science/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/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":"2026-08-08T20:05:20Z","links":{"resolver":"https://pith.science/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA","bundle":"https://pith.science/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/bundle.json","state":"https://pith.science/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R5BO4VRVLJQJV5PPBT3WXWDQDA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R5BO4VRVLJQJV5PPBT3WXWDQDA","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":"0246d0c433fcf9e689e45ef3503cafa30295caeffddc9b0d273f42af9ec65d05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-31T18:26:46Z","title_canon_sha256":"b588b97bca7ede7c41849e12e81e2c7d9d2807bc81a6aa855b06f7964a32ec8b"},"schema_version":"1.0","source":{"id":"1912.13476","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.13476","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"1912.13476v2","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.13476","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"R5BO4VRVLJQJ","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"R5BO4VRVLJQJV5PP","created_at":"2026-07-05T01:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"R5BO4VRV","created_at":"2026-07-05T01:18:47Z"}],"graph_snapshots":[{"event_id":"sha256:2fb13a06b89729b7b532659ef2d47f7f51edd134c2c84b5774d4ab4a6f90aeda","target":"graph","created_at":"2026-07-05T01:18:47Z","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/1912.13476/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a simple classification of the independent $n$-point interaction vertices for bosonic higher-spin gauge fields in $d$-dimensional Minkowski space-times. We first give a characterisation of such vertices for large dimensions, $d \\geq 2n - 1$, where one does not have to consider Schouten identities due to over-antisymmetrisation of space-time indices. When the dimension is lowered, such identities have to be considered, but their appearance only leads to equivalences of large-$d$ vertices and does not lead to new types of vertices. We consider the case of low dimensions, $d<n$, in detail","authors_text":"Karapet Mkrtchyan, Olaf Kr\\\"uger, Stefan Fredenhagen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-31T18:26:46Z","title":"Restrictions for $n$-Point Vertices in Higher-Spin Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.13476","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":"sha256:1d9b3086c11c91ecfa46e8ca6c2421ade2d735c9803e6664abea56b3fb4743b1","target":"record","created_at":"2026-07-05T01:18:47Z","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":"0246d0c433fcf9e689e45ef3503cafa30295caeffddc9b0d273f42af9ec65d05","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-12-31T18:26:46Z","title_canon_sha256":"b588b97bca7ede7c41849e12e81e2c7d9d2807bc81a6aa855b06f7964a32ec8b"},"schema_version":"1.0","source":{"id":"1912.13476","kind":"arxiv","version":2}},"canonical_sha256":"8f42ee56355a609af5ef0cf76bd87018353ace0f8a03afc578c571234e33e9e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f42ee56355a609af5ef0cf76bd87018353ace0f8a03afc578c571234e33e9e1","first_computed_at":"2026-07-05T01:18:47.242980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:18:47.242980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RPn1GXvpoSc3LFk0GNKVGh7LiTTmQeFEtoxmN051dW4ya/lW0BSKuAECp+fuPHQHuzNSekYwpt40dN/b89iwCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:18:47.243426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.13476","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d9b3086c11c91ecfa46e8ca6c2421ade2d735c9803e6664abea56b3fb4743b1","sha256:2fb13a06b89729b7b532659ef2d47f7f51edd134c2c84b5774d4ab4a6f90aeda"],"state_sha256":"5a147fb943f1d0d807d1911784edf669e59893922478aa39b0e5051bed93b94f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DCqULS4gKdjMz9oSnmKqVPJm0XEu+GupwLTd8xA6ObsC+PzEiAxWD9EdyAnAkEJ/zfdJY2G0moE6Ex/fZXPCDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:05:20.251139Z","bundle_sha256":"a32305901b8931c0fb47648be227a45ad1c7887effdf5845ea16f5f76e7ab599"}}