{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SYBQIU7ZHVT5P7THPAAWTJFUMW","short_pith_number":"pith:SYBQIU7Z","canonical_record":{"source":{"id":"1011.2332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-11-10T10:10:58Z","cross_cats_sorted":[],"title_canon_sha256":"323d188b682c8dc97675242273cb217b52f3a4257b6da65a31a2ae3984311246","abstract_canon_sha256":"a4e77ed7b9cd9d884b95b772219c4a0499a435cef99abc732d91c4788de5c4d5"},"schema_version":"1.0"},"canonical_sha256":"96030453f93d67d7fe67780169a4b465b367e2d4e51ed3e019cfce80de045597","source":{"kind":"arxiv","id":"1011.2332","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2332","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2332v1","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2332","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"SYBQIU7ZHVT5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SYBQIU7ZHVT5P7TH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SYBQIU7Z","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SYBQIU7ZHVT5P7THPAAWTJFUMW","target":"record","payload":{"canonical_record":{"source":{"id":"1011.2332","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-11-10T10:10:58Z","cross_cats_sorted":[],"title_canon_sha256":"323d188b682c8dc97675242273cb217b52f3a4257b6da65a31a2ae3984311246","abstract_canon_sha256":"a4e77ed7b9cd9d884b95b772219c4a0499a435cef99abc732d91c4788de5c4d5"},"schema_version":"1.0"},"canonical_sha256":"96030453f93d67d7fe67780169a4b465b367e2d4e51ed3e019cfce80de045597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:11.232098Z","signature_b64":"zOwU/ERkIYMxxRrefyYOZS5aIoc56t8CtHSsuInP1rJn0uB3BqhtGtVZyWw/7tU4gVzin+E54Y44d/lvxjDhDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96030453f93d67d7fe67780169a4b465b367e2d4e51ed3e019cfce80de045597","last_reissued_at":"2026-05-18T04:22:11.231666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:11.231666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.2332","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S+ByB2JftD087V6PQWDE5rlLZBzXPagXF5bqWeTx94FQie6/k7BdPxIRTYtawk1KoLITz51BEkVW7m1UP2reAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:38:15.436389Z"},"content_sha256":"ae036168ecfd5dcfceeb5430f9fb5b99657f48ba8774521e03f5778e14a42b34","schema_version":"1.0","event_id":"sha256:ae036168ecfd5dcfceeb5430f9fb5b99657f48ba8774521e03f5778e14a42b34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SYBQIU7ZHVT5P7THPAAWTJFUMW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Running of the SF-coupling with four massless flavours","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Fatih Tekin, Rainer Sommer, Ulli Wolff","submitted_at":"2010-11-10T10:10:58Z","abstract_excerpt":"We discuss the status of different determinations of alpha_s, motivating a precise and reliable computation from lattice QCD. In order to suppress perturbative errors, the non-perturbative computation has to reach high energy scales mu. Such results already exist in the SF-scheme for N_f=0,2 and N_f=3. We recently added the running with four massless flavours in a range of alpha from about 0.07 to 0.3 . It is based on our recent determination of the Sheikholeslami Wohlert coefficient in the four-flavour theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2332","kind":"arxiv","version":1},"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":"2026-05-18T04:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OHiNZEsYG89o4pPOfK6uJ/7uABF/7k3Lkvf7Kv1pnA55IC4c3swq3QZ6MlyNAJSe1gFtgx5sDGXkKjhaPM+UCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:38:15.437070Z"},"content_sha256":"4bf708bbe1e7f6d9f7c9313aabec3aff9409ac46fc3512f3ec876a994c3f8603","schema_version":"1.0","event_id":"sha256:4bf708bbe1e7f6d9f7c9313aabec3aff9409ac46fc3512f3ec876a994c3f8603"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/bundle.json","state_url":"https://pith.science/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/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":"2026-05-27T17:38:15Z","links":{"resolver":"https://pith.science/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW","bundle":"https://pith.science/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/bundle.json","state":"https://pith.science/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SYBQIU7ZHVT5P7THPAAWTJFUMW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SYBQIU7ZHVT5P7THPAAWTJFUMW","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":"a4e77ed7b9cd9d884b95b772219c4a0499a435cef99abc732d91c4788de5c4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-11-10T10:10:58Z","title_canon_sha256":"323d188b682c8dc97675242273cb217b52f3a4257b6da65a31a2ae3984311246"},"schema_version":"1.0","source":{"id":"1011.2332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.2332","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"1011.2332v1","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.2332","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"SYBQIU7ZHVT5","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SYBQIU7ZHVT5P7TH","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SYBQIU7Z","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:4bf708bbe1e7f6d9f7c9313aabec3aff9409ac46fc3512f3ec876a994c3f8603","target":"graph","created_at":"2026-05-18T04:22:11Z","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":"We discuss the status of different determinations of alpha_s, motivating a precise and reliable computation from lattice QCD. In order to suppress perturbative errors, the non-perturbative computation has to reach high energy scales mu. Such results already exist in the SF-scheme for N_f=0,2 and N_f=3. We recently added the running with four massless flavours in a range of alpha from about 0.07 to 0.3 . It is based on our recent determination of the Sheikholeslami Wohlert coefficient in the four-flavour theory.","authors_text":"Fatih Tekin, Rainer Sommer, Ulli Wolff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-11-10T10:10:58Z","title":"Running of the SF-coupling with four massless flavours"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.2332","kind":"arxiv","version":1},"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:ae036168ecfd5dcfceeb5430f9fb5b99657f48ba8774521e03f5778e14a42b34","target":"record","created_at":"2026-05-18T04:22:11Z","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":"a4e77ed7b9cd9d884b95b772219c4a0499a435cef99abc732d91c4788de5c4d5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-11-10T10:10:58Z","title_canon_sha256":"323d188b682c8dc97675242273cb217b52f3a4257b6da65a31a2ae3984311246"},"schema_version":"1.0","source":{"id":"1011.2332","kind":"arxiv","version":1}},"canonical_sha256":"96030453f93d67d7fe67780169a4b465b367e2d4e51ed3e019cfce80de045597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96030453f93d67d7fe67780169a4b465b367e2d4e51ed3e019cfce80de045597","first_computed_at":"2026-05-18T04:22:11.231666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:11.231666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zOwU/ERkIYMxxRrefyYOZS5aIoc56t8CtHSsuInP1rJn0uB3BqhtGtVZyWw/7tU4gVzin+E54Y44d/lvxjDhDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:11.232098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.2332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae036168ecfd5dcfceeb5430f9fb5b99657f48ba8774521e03f5778e14a42b34","sha256:4bf708bbe1e7f6d9f7c9313aabec3aff9409ac46fc3512f3ec876a994c3f8603"],"state_sha256":"1671c4a95f5b7e2fc38e9f813098d7d2707a6695e657c57aa55e9cdbc1fa1446"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KouHzI5pUYrOe+poeQfA1oLMCrXa0/etPrIeC1I7tvahLODkP1PlFNacripbKwKo3QUA+Gs+4wr8sgvkbBIpAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:38:15.440762Z","bundle_sha256":"171ba6bd9dbdfb2c90d7e794804439caea7885146c2463edb418287c08c19b88"}}