{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:X2YUJS6ECNC7GMXHGD7APWVKXG","short_pith_number":"pith:X2YUJS6E","canonical_record":{"source":{"id":"1910.00487","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-01T15:37:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0eb2fc29a199418f12e0cebbabe70c327c781228bb90d27632fa318ec55b7323","abstract_canon_sha256":"7d221f9ea6930fcc0a714fe5b6a8d0e2d39a75f5e80cc9d1308ce04cd4345d4d"},"schema_version":"1.0"},"canonical_sha256":"beb144cbc41345f332e730fe07daaab98004da40e2d6e4831280fe167eba3c6c","source":{"kind":"arxiv","id":"1910.00487","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.00487","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"arxiv_version","alias_value":"1910.00487v3","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.00487","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_12","alias_value":"X2YUJS6ECNC7","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_16","alias_value":"X2YUJS6ECNC7GMXH","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_8","alias_value":"X2YUJS6E","created_at":"2026-07-05T00:48:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:X2YUJS6ECNC7GMXHGD7APWVKXG","target":"record","payload":{"canonical_record":{"source":{"id":"1910.00487","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-01T15:37:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0eb2fc29a199418f12e0cebbabe70c327c781228bb90d27632fa318ec55b7323","abstract_canon_sha256":"7d221f9ea6930fcc0a714fe5b6a8d0e2d39a75f5e80cc9d1308ce04cd4345d4d"},"schema_version":"1.0"},"canonical_sha256":"beb144cbc41345f332e730fe07daaab98004da40e2d6e4831280fe167eba3c6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:48:45.646616Z","signature_b64":"RKzZNbtv/4FioD38rn9/FY9g+tdLaD80DO+yOVX4I/j27JPBK+o0Obkbw3Tkp/zTTLZwuqEEh+4yqgW7SI3BAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"beb144cbc41345f332e730fe07daaab98004da40e2d6e4831280fe167eba3c6c","last_reissued_at":"2026-07-05T00:48:45.646148Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:48:45.646148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.00487","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:48:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uyf73G/iDunXMOTjPZD6tnGQPhL7XprY9Z5aNRFFct8x5keQus2uVuvh0gJ/KFgFrqeUQvl/XD8ErrI4WGJBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T16:47:30.450071Z"},"content_sha256":"60c297a29b2df050f612d0cd8d7a582cc286bdab4a84ec819a001d06218b58f0","schema_version":"1.0","event_id":"sha256:60c297a29b2df050f612d0cd8d7a582cc286bdab4a84ec819a001d06218b58f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:X2YUJS6ECNC7GMXHGD7APWVKXG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"M.A.Vasiliev, O.A.Gelfond","submitted_at":"2019-10-01T15:37:32Z","abstract_excerpt":"The analysis of spin-locality of higher-spin gauge theory is formulated in terms of star-product functional classes appropriate for the $\\beta\\to -\\infty$ limiting shifted homotopy proposed recently in arXiv:1909.04876 where all $\\omega^2 C^2$ higher-spin vertices were shown to be spin-local. For the $\\beta\\to -\\infty$ limiting shifted contracting homotopy we identify the class of functions ${\\mathcal H}^{+0}$, that do not contribute to the r.h.s. of HS field equations at a given order. A number of theorems and relations that organize analysis of the higher-spin equations are derived including"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.00487","kind":"arxiv","version":3},"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/1910.00487/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":"2026-07-05T00:48:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B/XVu0GAnVMFOzF2XOrLgX9tk9Jve7y4BfppagNwGYbrBAn+wj5qn8PELq3ogBqPdHWVTBqVBwgy3JYIu97yBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T16:47:30.450674Z"},"content_sha256":"b5ea807ffac98f9968ccbf663af0c7ea1cd9008601e58677bd919f030fd1f495","schema_version":"1.0","event_id":"sha256:b5ea807ffac98f9968ccbf663af0c7ea1cd9008601e58677bd919f030fd1f495"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/bundle.json","state_url":"https://pith.science/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/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":"2026-08-07T16:47:30Z","links":{"resolver":"https://pith.science/pith/X2YUJS6ECNC7GMXHGD7APWVKXG","bundle":"https://pith.science/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/bundle.json","state":"https://pith.science/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2YUJS6ECNC7GMXHGD7APWVKXG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:X2YUJS6ECNC7GMXHGD7APWVKXG","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":"7d221f9ea6930fcc0a714fe5b6a8d0e2d39a75f5e80cc9d1308ce04cd4345d4d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-01T15:37:32Z","title_canon_sha256":"0eb2fc29a199418f12e0cebbabe70c327c781228bb90d27632fa318ec55b7323"},"schema_version":"1.0","source":{"id":"1910.00487","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.00487","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"arxiv_version","alias_value":"1910.00487v3","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.00487","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_12","alias_value":"X2YUJS6ECNC7","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_16","alias_value":"X2YUJS6ECNC7GMXH","created_at":"2026-07-05T00:48:45Z"},{"alias_kind":"pith_short_8","alias_value":"X2YUJS6E","created_at":"2026-07-05T00:48:45Z"}],"graph_snapshots":[{"event_id":"sha256:b5ea807ffac98f9968ccbf663af0c7ea1cd9008601e58677bd919f030fd1f495","target":"graph","created_at":"2026-07-05T00:48:45Z","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/1910.00487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The analysis of spin-locality of higher-spin gauge theory is formulated in terms of star-product functional classes appropriate for the $\\beta\\to -\\infty$ limiting shifted homotopy proposed recently in arXiv:1909.04876 where all $\\omega^2 C^2$ higher-spin vertices were shown to be spin-local. For the $\\beta\\to -\\infty$ limiting shifted contracting homotopy we identify the class of functions ${\\mathcal H}^{+0}$, that do not contribute to the r.h.s. of HS field equations at a given order. A number of theorems and relations that organize analysis of the higher-spin equations are derived including","authors_text":"M.A.Vasiliev, O.A.Gelfond","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-01T15:37:32Z","title":"Spin-Locality of Higher-Spin Theories and Star-Product Functional Classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.00487","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":"sha256:60c297a29b2df050f612d0cd8d7a582cc286bdab4a84ec819a001d06218b58f0","target":"record","created_at":"2026-07-05T00:48:45Z","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":"7d221f9ea6930fcc0a714fe5b6a8d0e2d39a75f5e80cc9d1308ce04cd4345d4d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-10-01T15:37:32Z","title_canon_sha256":"0eb2fc29a199418f12e0cebbabe70c327c781228bb90d27632fa318ec55b7323"},"schema_version":"1.0","source":{"id":"1910.00487","kind":"arxiv","version":3}},"canonical_sha256":"beb144cbc41345f332e730fe07daaab98004da40e2d6e4831280fe167eba3c6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"beb144cbc41345f332e730fe07daaab98004da40e2d6e4831280fe167eba3c6c","first_computed_at":"2026-07-05T00:48:45.646148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:48:45.646148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKzZNbtv/4FioD38rn9/FY9g+tdLaD80DO+yOVX4I/j27JPBK+o0Obkbw3Tkp/zTTLZwuqEEh+4yqgW7SI3BAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:48:45.646616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.00487","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60c297a29b2df050f612d0cd8d7a582cc286bdab4a84ec819a001d06218b58f0","sha256:b5ea807ffac98f9968ccbf663af0c7ea1cd9008601e58677bd919f030fd1f495"],"state_sha256":"b874c9d71ae8122343d6894ec5b8775b798d2e09e864203203c4caeca15e85d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DmsOu+J5SZDP1v+t3HV81EcnQNDLR+k5/Db8M2DhWRRnos7xDOD5TX53hUp3y39gqNjpwkfrxasVfIYX3vzoBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T16:47:30.454678Z","bundle_sha256":"5893a327bad77742e063469d730aca4c8a832e811c227391baa52117c45bd921"}}