{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:IFGLTNWSWTYQ5ASGQS6D7SKRSI","short_pith_number":"pith:IFGLTNWS","canonical_record":{"source":{"id":"hep-ph/9710454","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-10-24T10:02:55Z","cross_cats_sorted":[],"title_canon_sha256":"ea9ddcf0b9f13f4aac3a365fb5611d2e3db24bcc77d5730197cfc67a69b89d1b","abstract_canon_sha256":"1b1688410bdb0233e6a68026c802b65e259e0dc3ff21264de8f8f7d05235f068"},"schema_version":"1.0"},"canonical_sha256":"414cb9b6d2b4f10e824684bc3fc951921bfafd353f55371958a00f580a58809d","source":{"kind":"arxiv","id":"hep-ph/9710454","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9710454","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9710454v2","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9710454","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_12","alias_value":"IFGLTNWSWTYQ","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_16","alias_value":"IFGLTNWSWTYQ5ASG","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_8","alias_value":"IFGLTNWS","created_at":"2026-07-04T14:30:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:IFGLTNWSWTYQ5ASGQS6D7SKRSI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9710454","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-10-24T10:02:55Z","cross_cats_sorted":[],"title_canon_sha256":"ea9ddcf0b9f13f4aac3a365fb5611d2e3db24bcc77d5730197cfc67a69b89d1b","abstract_canon_sha256":"1b1688410bdb0233e6a68026c802b65e259e0dc3ff21264de8f8f7d05235f068"},"schema_version":"1.0"},"canonical_sha256":"414cb9b6d2b4f10e824684bc3fc951921bfafd353f55371958a00f580a58809d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:30:23.734259Z","signature_b64":"RtOQu022XFyOee9rYriVdpFUJBs1BCU0naj+mq7pThBYtz4jP1bQlpIzwuM+4zvX7Ie2WE7zed9nArqXfFzVCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"414cb9b6d2b4f10e824684bc3fc951921bfafd353f55371958a00f580a58809d","last_reissued_at":"2026-07-04T14:30:23.733889Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:30:23.733889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9710454","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":"2026-07-04T14:30:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uZganfj4RfZ3myWLIa2ZEU76Nr8zutDJfIpsmYjApra9dQjDNZFSb3fgfIuhigUVPN0KLOhdAQFZKEuBS2uTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:38:04.305156Z"},"content_sha256":"1b8cbac8666daf2cb0684908d82b11b1c99f0b514f77e6027320fbb22690873d","schema_version":"1.0","event_id":"sha256:1b8cbac8666daf2cb0684908d82b11b1c99f0b514f77e6027320fbb22690873d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:IFGLTNWSWTYQ5ASGQS6D7SKRSI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of the Twist-3 Flavor Singlet Operators in a Covariant Gauge","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiroshi Tochimura (Hiroshima Univ.), Jiro Kodaira (Hiroshima Univ.), Kazuhiro Tanaka (Juntendo Univ.), Takashi Nasuno (Hiroshima Univ.), Yoshiaki Yasui (RIKEN-BNL)","submitted_at":"1997-10-24T10:02:55Z","abstract_excerpt":"We investigate the nucleon's transverse spin-dependent structure function g_2(x, Q^2) in the framework of the operator product expansion and the renormalization group. We construct the complete set of the twist-3 operators for the flavor singlet channel, and give the relations among them. We develop an efficient, covariant approach to derive the anomalous dimension matrix of the twist-3 singlet operators by computing the off-shell Green's functions. As an application, we investigate the Q^2-evolution of g_2(x, Q^{2}) for the lowest moment case, and discuss its experimental implication."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9710454","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-ph/9710454/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":"2026-07-04T14:30:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6QXXf715xuXQc3ZGOF4NSc7xGzzZFWsFilqwnqxdMNtVd+y/65IMAtPznattpPOmFYUw+S26uDNHhp4MZ4c0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:38:04.305551Z"},"content_sha256":"3bf8a66028d9423788dd8ac51e1c9f8ae581516b4306bad90f2d59252b199f50","schema_version":"1.0","event_id":"sha256:3bf8a66028d9423788dd8ac51e1c9f8ae581516b4306bad90f2d59252b199f50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/bundle.json","state_url":"https://pith.science/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/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":"2026-07-05T05:38:04Z","links":{"resolver":"https://pith.science/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI","bundle":"https://pith.science/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/bundle.json","state":"https://pith.science/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IFGLTNWSWTYQ5ASGQS6D7SKRSI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:IFGLTNWSWTYQ5ASGQS6D7SKRSI","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":"1b1688410bdb0233e6a68026c802b65e259e0dc3ff21264de8f8f7d05235f068","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-10-24T10:02:55Z","title_canon_sha256":"ea9ddcf0b9f13f4aac3a365fb5611d2e3db24bcc77d5730197cfc67a69b89d1b"},"schema_version":"1.0","source":{"id":"hep-ph/9710454","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9710454","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9710454v2","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9710454","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_12","alias_value":"IFGLTNWSWTYQ","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_16","alias_value":"IFGLTNWSWTYQ5ASG","created_at":"2026-07-04T14:30:23Z"},{"alias_kind":"pith_short_8","alias_value":"IFGLTNWS","created_at":"2026-07-04T14:30:23Z"}],"graph_snapshots":[{"event_id":"sha256:3bf8a66028d9423788dd8ac51e1c9f8ae581516b4306bad90f2d59252b199f50","target":"graph","created_at":"2026-07-04T14:30:23Z","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-ph/9710454/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the nucleon's transverse spin-dependent structure function g_2(x, Q^2) in the framework of the operator product expansion and the renormalization group. We construct the complete set of the twist-3 operators for the flavor singlet channel, and give the relations among them. We develop an efficient, covariant approach to derive the anomalous dimension matrix of the twist-3 singlet operators by computing the off-shell Green's functions. As an application, we investigate the Q^2-evolution of g_2(x, Q^{2}) for the lowest moment case, and discuss its experimental implication.","authors_text":"Hiroshi Tochimura (Hiroshima Univ.), Jiro Kodaira (Hiroshima Univ.), Kazuhiro Tanaka (Juntendo Univ.), Takashi Nasuno (Hiroshima Univ.), Yoshiaki Yasui (RIKEN-BNL)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1997-10-24T10:02:55Z","title":"Renormalization of the Twist-3 Flavor Singlet Operators in a Covariant Gauge"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9710454","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":"sha256:1b8cbac8666daf2cb0684908d82b11b1c99f0b514f77e6027320fbb22690873d","target":"record","created_at":"2026-07-04T14:30:23Z","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":"1b1688410bdb0233e6a68026c802b65e259e0dc3ff21264de8f8f7d05235f068","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1997-10-24T10:02:55Z","title_canon_sha256":"ea9ddcf0b9f13f4aac3a365fb5611d2e3db24bcc77d5730197cfc67a69b89d1b"},"schema_version":"1.0","source":{"id":"hep-ph/9710454","kind":"arxiv","version":2}},"canonical_sha256":"414cb9b6d2b4f10e824684bc3fc951921bfafd353f55371958a00f580a58809d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"414cb9b6d2b4f10e824684bc3fc951921bfafd353f55371958a00f580a58809d","first_computed_at":"2026-07-04T14:30:23.733889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:30:23.733889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RtOQu022XFyOee9rYriVdpFUJBs1BCU0naj+mq7pThBYtz4jP1bQlpIzwuM+4zvX7Ie2WE7zed9nArqXfFzVCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T14:30:23.734259Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9710454","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b8cbac8666daf2cb0684908d82b11b1c99f0b514f77e6027320fbb22690873d","sha256:3bf8a66028d9423788dd8ac51e1c9f8ae581516b4306bad90f2d59252b199f50"],"state_sha256":"3e0e07faf359b637dbbb3bc74957f50bcea0647f4c4313ce515eae21d71f35ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pfYY23D8pAQVkDoh3v4AuLO6PdGhcyqrWYQB1DQzDi7wHGzLTRGDrHsERAW34WgHAbnHAvpJ5ugzrrownI0TAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T05:38:04.307494Z","bundle_sha256":"ece262597ce703e60554d49693196656d1af8151f60eac0f670df49dc86cc034"}}