{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:5FVEKNLSFY7GPD4YMVSILHDNQS","short_pith_number":"pith:5FVEKNLS","canonical_record":{"source":{"id":"hep-lat/9908044","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-25T21:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"64de4bfb85316ce8d0f5d202b90063fc341edcf3add5c313d05d820ea939646d","abstract_canon_sha256":"64b1812e2109f849120c0bc172f132e5d1f82aa547eb4ab2fed3deb2d9f4cac6"},"schema_version":"1.0"},"canonical_sha256":"e96a4535722e3e678f986564859c6d84a0f1632d3f65a6eb40819f03417b2ba8","source":{"kind":"arxiv","id":"hep-lat/9908044","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9908044","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9908044v4","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9908044","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"5FVEKNLSFY7G","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"5FVEKNLSFY7GPD4Y","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"5FVEKNLS","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:5FVEKNLSFY7GPD4YMVSILHDNQS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9908044","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-25T21:15:44Z","cross_cats_sorted":[],"title_canon_sha256":"64de4bfb85316ce8d0f5d202b90063fc341edcf3add5c313d05d820ea939646d","abstract_canon_sha256":"64b1812e2109f849120c0bc172f132e5d1f82aa547eb4ab2fed3deb2d9f4cac6"},"schema_version":"1.0"},"canonical_sha256":"e96a4535722e3e678f986564859c6d84a0f1632d3f65a6eb40819f03417b2ba8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:11.405687Z","signature_b64":"o5P6XSAcGcshswJ4u1vTYchNVacD+7RC7l9jH4XnBj1bzfno5yl44uMgbYnv8qNix8jYtq7vXA0RYbq69mJIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e96a4535722e3e678f986564859c6d84a0f1632d3f65a6eb40819f03417b2ba8","last_reissued_at":"2026-05-18T01:39:11.405221Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:11.405221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9908044","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":"2026-05-18T01:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSILNane0G/4PBMLe7LyNBP+qtpuy0rE3kI+op1I3fuZHaVLEKwJCycdu4bce6HeAIe/hDZOA+DWaP75tpBPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:31:44.677239Z"},"content_sha256":"6ae434ba82d4ef0d6de2afa2aa1f90ee974ad89d6d443771363c68c7273b73f4","schema_version":"1.0","event_id":"sha256:6ae434ba82d4ef0d6de2afa2aa1f90ee974ad89d6d443771363c68c7273b73f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:5FVEKNLSFY7GPD4YMVSILHDNQS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two loop lattice expansion of the Schroedinger functional coupling in improved QCD","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Bode, P. Weisz, U. Wolff","submitted_at":"1999-08-25T21:15:44Z","abstract_excerpt":"The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3). These coefficients are required for the second order relation of lattice data to the MSbar-coupling. By taking into account all improvement coefficients we are able to improve the Schroedinger functional to two loop order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9908044","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":""},"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":"2026-05-18T01:39:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AiewNjJyH3i/f9HnPkHpy5qa5rQp6ZX3FUOdimqI5A6S+6u0EEmHFT/weUcW1x5hefiGYcgMYPOmhLiY7+kZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:31:44.677604Z"},"content_sha256":"80f7ac02ecb2fbe75be254cc2e65ba22fe06fdd69e0f14a0374dd986a1859ecb","schema_version":"1.0","event_id":"sha256:80f7ac02ecb2fbe75be254cc2e65ba22fe06fdd69e0f14a0374dd986a1859ecb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/bundle.json","state_url":"https://pith.science/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/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":"2026-06-02T06:31:44Z","links":{"resolver":"https://pith.science/pith/5FVEKNLSFY7GPD4YMVSILHDNQS","bundle":"https://pith.science/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/bundle.json","state":"https://pith.science/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FVEKNLSFY7GPD4YMVSILHDNQS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:5FVEKNLSFY7GPD4YMVSILHDNQS","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":"64b1812e2109f849120c0bc172f132e5d1f82aa547eb4ab2fed3deb2d9f4cac6","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-25T21:15:44Z","title_canon_sha256":"64de4bfb85316ce8d0f5d202b90063fc341edcf3add5c313d05d820ea939646d"},"schema_version":"1.0","source":{"id":"hep-lat/9908044","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9908044","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9908044v4","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9908044","created_at":"2026-05-18T01:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"5FVEKNLSFY7G","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"5FVEKNLSFY7GPD4Y","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"5FVEKNLS","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:80f7ac02ecb2fbe75be254cc2e65ba22fe06fdd69e0f14a0374dd986a1859ecb","target":"graph","created_at":"2026-05-18T01:39:11Z","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"},"paper":{"abstract_excerpt":"The contributions of the improved fermion action of Sheikholeslami and Wohlert to the two loop coefficient of the expansion of the Schroedinger functional coupling in terms of the lattice coupling are calculated for the gauge group SU(3). These coefficients are required for the second order relation of lattice data to the MSbar-coupling. By taking into account all improvement coefficients we are able to improve the Schroedinger functional to two loop order.","authors_text":"A. Bode, P. Weisz, U. Wolff","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-08-25T21:15:44Z","title":"Two loop lattice expansion of the Schroedinger functional coupling in improved QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9908044","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":"sha256:6ae434ba82d4ef0d6de2afa2aa1f90ee974ad89d6d443771363c68c7273b73f4","target":"record","created_at":"2026-05-18T01:39:11Z","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":"64b1812e2109f849120c0bc172f132e5d1f82aa547eb4ab2fed3deb2d9f4cac6","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-08-25T21:15:44Z","title_canon_sha256":"64de4bfb85316ce8d0f5d202b90063fc341edcf3add5c313d05d820ea939646d"},"schema_version":"1.0","source":{"id":"hep-lat/9908044","kind":"arxiv","version":4}},"canonical_sha256":"e96a4535722e3e678f986564859c6d84a0f1632d3f65a6eb40819f03417b2ba8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e96a4535722e3e678f986564859c6d84a0f1632d3f65a6eb40819f03417b2ba8","first_computed_at":"2026-05-18T01:39:11.405221Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:11.405221Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o5P6XSAcGcshswJ4u1vTYchNVacD+7RC7l9jH4XnBj1bzfno5yl44uMgbYnv8qNix8jYtq7vXA0RYbq69mJIBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:11.405687Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9908044","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ae434ba82d4ef0d6de2afa2aa1f90ee974ad89d6d443771363c68c7273b73f4","sha256:80f7ac02ecb2fbe75be254cc2e65ba22fe06fdd69e0f14a0374dd986a1859ecb"],"state_sha256":"d3ed5704602f29681d79da68e38f675890f83c5662f900d54ca9be29229b952e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OQNeOkkkiV3BO4DEwxqBxRZltsPBFji6UmciGywmrLqe+f4yjjJuSIdtitxp/TuZeasFmcD+GvPjPVmGCU2+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:31:44.679510Z","bundle_sha256":"082db59d133f0ac8b18eb86b58ebbc9a18753ef050940cc117eafd6a7dd2a735"}}