{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:6I2IGEIBNUJCYVOCDLKB3FT5W7","short_pith_number":"pith:6I2IGEIB","canonical_record":{"source":{"id":"1902.02309","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T18:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"b59042b8dd967dc73e791c51c47685b375596153657483f021cddc45482eeef3","abstract_canon_sha256":"fb6d69d79b4ea87692070e619b03d37b5efeaaccd0db002fdb60973553810c27"},"schema_version":"1.0"},"canonical_sha256":"f2348311016d122c55c21ad41d967db7c9123aade037ea5e99767b157f353bb0","source":{"kind":"arxiv","id":"1902.02309","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02309","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02309v4","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02309","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"6I2IGEIBNUJC","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_16","alias_value":"6I2IGEIBNUJCYVOC","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_8","alias_value":"6I2IGEIB","created_at":"2026-07-05T01:03:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:6I2IGEIBNUJCYVOCDLKB3FT5W7","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02309","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T18:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"b59042b8dd967dc73e791c51c47685b375596153657483f021cddc45482eeef3","abstract_canon_sha256":"fb6d69d79b4ea87692070e619b03d37b5efeaaccd0db002fdb60973553810c27"},"schema_version":"1.0"},"canonical_sha256":"f2348311016d122c55c21ad41d967db7c9123aade037ea5e99767b157f353bb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:03:57.880040Z","signature_b64":"y5lbAGLYO1FVo7rhpP5VerNHKrWR1/eh+JMu5Wy9vfslexEnrDIRUxK3XCW7WQOzd3Uxopy1QHooEgugCQ+1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2348311016d122c55c21ad41d967db7c9123aade037ea5e99767b157f353bb0","last_reissued_at":"2026-07-05T01:03:57.879639Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:03:57.879639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02309","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8FHbUikxFFNCZhH0oJKufqHQfiG/1jZnozuCnQ1s9IootJXKwpPXd8NoDuxNlIc+vpzVlzetYIm/31gx2KYmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T04:35:47.193290Z"},"content_sha256":"22337a700565d1f5c0dc42b0385910d2af7724212c8d29cb24aef5e70b1d81b2","schema_version":"1.0","event_id":"sha256:22337a700565d1f5c0dc42b0385910d2af7724212c8d29cb24aef5e70b1d81b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:6I2IGEIBNUJCYVOCDLKB3FT5W7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal properties of soft-operators - 1 : Use of null-states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Partha Paul, Pranjal Pandey, Shamik Banerjee","submitted_at":"2019-02-06T18:07:34Z","abstract_excerpt":"Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the soft-operators transform as conformal primary operators of various dimension and spin. Working in space-time dimensions $D=4$ and $6$, we study some properties of the conformal representations with the (leading) soft photon and graviton as the highest weight vectors. Typically these representations contain null-vectors. We argue, from the $S$-matrix point of view, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02309","kind":"arxiv","version":4},"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/1902.02309/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":"2026-07-05T01:03:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XCDnErRFnB4hapCfutu3MfCWrCRBGXbAlkjN9yMOqSNVJt/LOryvqqXY4eUQHaDE6ncn3pnmkGBKokWSJ+m4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T04:35:47.193826Z"},"content_sha256":"3443ae08d7280ce7c26cbc0a7e262bd50a2664fcfbdffd2f9dcc1bc27e82533b","schema_version":"1.0","event_id":"sha256:3443ae08d7280ce7c26cbc0a7e262bd50a2664fcfbdffd2f9dcc1bc27e82533b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/bundle.json","state_url":"https://pith.science/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/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":"2026-08-12T04:35:47Z","links":{"resolver":"https://pith.science/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7","bundle":"https://pith.science/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/bundle.json","state":"https://pith.science/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6I2IGEIBNUJCYVOCDLKB3FT5W7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:6I2IGEIBNUJCYVOCDLKB3FT5W7","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":"fb6d69d79b4ea87692070e619b03d37b5efeaaccd0db002fdb60973553810c27","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T18:07:34Z","title_canon_sha256":"b59042b8dd967dc73e791c51c47685b375596153657483f021cddc45482eeef3"},"schema_version":"1.0","source":{"id":"1902.02309","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02309","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02309v4","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02309","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_12","alias_value":"6I2IGEIBNUJC","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_16","alias_value":"6I2IGEIBNUJCYVOC","created_at":"2026-07-05T01:03:57Z"},{"alias_kind":"pith_short_8","alias_value":"6I2IGEIB","created_at":"2026-07-05T01:03:57Z"}],"graph_snapshots":[{"event_id":"sha256:3443ae08d7280ce7c26cbc0a7e262bd50a2664fcfbdffd2f9dcc1bc27e82533b","target":"graph","created_at":"2026-07-05T01:03:57Z","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/1902.02309/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the soft-operators transform as conformal primary operators of various dimension and spin. Working in space-time dimensions $D=4$ and $6$, we study some properties of the conformal representations with the (leading) soft photon and graviton as the highest weight vectors. Typically these representations contain null-vectors. We argue, from the $S$-matrix point of view, ","authors_text":"Partha Paul, Pranjal Pandey, Shamik Banerjee","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T18:07:34Z","title":"Conformal properties of soft-operators - 1 : Use of null-states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02309","kind":"arxiv","version":4},"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":"sha256:22337a700565d1f5c0dc42b0385910d2af7724212c8d29cb24aef5e70b1d81b2","target":"record","created_at":"2026-07-05T01:03:57Z","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":"fb6d69d79b4ea87692070e619b03d37b5efeaaccd0db002fdb60973553810c27","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2019-02-06T18:07:34Z","title_canon_sha256":"b59042b8dd967dc73e791c51c47685b375596153657483f021cddc45482eeef3"},"schema_version":"1.0","source":{"id":"1902.02309","kind":"arxiv","version":4}},"canonical_sha256":"f2348311016d122c55c21ad41d967db7c9123aade037ea5e99767b157f353bb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2348311016d122c55c21ad41d967db7c9123aade037ea5e99767b157f353bb0","first_computed_at":"2026-07-05T01:03:57.879639Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:03:57.879639Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y5lbAGLYO1FVo7rhpP5VerNHKrWR1/eh+JMu5Wy9vfslexEnrDIRUxK3XCW7WQOzd3Uxopy1QHooEgugCQ+1BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:03:57.880040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02309","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22337a700565d1f5c0dc42b0385910d2af7724212c8d29cb24aef5e70b1d81b2","sha256:3443ae08d7280ce7c26cbc0a7e262bd50a2664fcfbdffd2f9dcc1bc27e82533b"],"state_sha256":"b28f0e17eedae2c90999e2033195b0fd85e3d5d322c4c714c0b6c90091f18b54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FyL02j6p/miZZ6FqnJbUs/mgZHIWfq4vC00PrclqP6Qg0zV2dkoFZZMboYs4DW/n8SaBPtWDSn4YVl7HjFeNBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T04:35:47.197975Z","bundle_sha256":"c1807e202bfe66c07fe699ef13b353c5f9170b035bb94663ec2bb48768a2eccd"}}