{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:KHG44B3TJREJGF6ABWY4BWZEHA","short_pith_number":"pith:KHG44B3T","canonical_record":{"source":{"id":"hep-lat/9909163","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-29T09:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"76ca2d65a10c4e71985cb03f55e07a54412c5dee8bea8ede806ed88fa8da3899","abstract_canon_sha256":"665a580a0340ae58409fae8e6f7f7faf585ce84569dbd4ef0327fc3889092988"},"schema_version":"1.0"},"canonical_sha256":"51cdce07734c489317c00db1c0db243827495f3e8dfcbc8b5ee60f7f3786d5f4","source":{"kind":"arxiv","id":"hep-lat/9909163","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909163","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909163v1","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909163","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"KHG44B3TJREJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KHG44B3TJREJGF6A","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KHG44B3T","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:KHG44B3TJREJGF6ABWY4BWZEHA","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9909163","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-29T09:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"76ca2d65a10c4e71985cb03f55e07a54412c5dee8bea8ede806ed88fa8da3899","abstract_canon_sha256":"665a580a0340ae58409fae8e6f7f7faf585ce84569dbd4ef0327fc3889092988"},"schema_version":"1.0"},"canonical_sha256":"51cdce07734c489317c00db1c0db243827495f3e8dfcbc8b5ee60f7f3786d5f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:10.451078Z","signature_b64":"YXraSRJSEpPMfJZ7u+1nAf2d2fdyOoWkB28yTPMwo4l65eVk9V3Ti3rx1bXnQu8t7+Ws4/4HIeXcfU1dH8eIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51cdce07734c489317c00db1c0db243827495f3e8dfcbc8b5ee60f7f3786d5f4","last_reissued_at":"2026-05-18T01:39:10.450674Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:10.450674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9909163","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":"2026-05-18T01:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6AzrIDXJi1aQULg8awFwHVQG/KtUSwuVerc6hK7vAe+Vt19NY4ag6L8ReMtFs0i0+PmY1oUbQaRQuUaNVYtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:18:44.996763Z"},"content_sha256":"065dd4475b384e3c9dcce717e9f9f65788108679f7246cdc856fb7a876d1702f","schema_version":"1.0","event_id":"sha256:065dd4475b384e3c9dcce717e9f9f65788108679f7246cdc856fb7a876d1702f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:KHG44B3TJREJGF6ABWY4BWZEHA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization constants of local operators within the Schr\\\"odinger functional scheme","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Andrea Shindler","submitted_at":"1999-09-29T09:48:42Z","abstract_excerpt":"We define, within the Schr\\\"odinger functional (SF) scheme, the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton density, and the first moment of singlet parton densities. We perform a lattice one-loop calculation that fixes the relation between the SF scheme and other common schemes and shows the main source of lattice artefacts. Few remarks on the improvement case are added."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909163","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":"2026-05-18T01:39:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TdJCCnfiAF8hP1Jz4OXp8u/0V93xnnDHSrYaLou1GMApN11D+esscqxDOP62zJEfxTEkr26RS6ZYhZsQ8vqeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:18:44.997492Z"},"content_sha256":"c586ade07e96fdaf59ca61501d42d5ee0aef24f4065cb30f2bea525342a39fc5","schema_version":"1.0","event_id":"sha256:c586ade07e96fdaf59ca61501d42d5ee0aef24f4065cb30f2bea525342a39fc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHG44B3TJREJGF6ABWY4BWZEHA/bundle.json","state_url":"https://pith.science/pith/KHG44B3TJREJGF6ABWY4BWZEHA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHG44B3TJREJGF6ABWY4BWZEHA/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":"2026-06-08T08:18:44Z","links":{"resolver":"https://pith.science/pith/KHG44B3TJREJGF6ABWY4BWZEHA","bundle":"https://pith.science/pith/KHG44B3TJREJGF6ABWY4BWZEHA/bundle.json","state":"https://pith.science/pith/KHG44B3TJREJGF6ABWY4BWZEHA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHG44B3TJREJGF6ABWY4BWZEHA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:KHG44B3TJREJGF6ABWY4BWZEHA","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":"665a580a0340ae58409fae8e6f7f7faf585ce84569dbd4ef0327fc3889092988","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-29T09:48:42Z","title_canon_sha256":"76ca2d65a10c4e71985cb03f55e07a54412c5dee8bea8ede806ed88fa8da3899"},"schema_version":"1.0","source":{"id":"hep-lat/9909163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9909163","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9909163v1","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9909163","created_at":"2026-05-18T01:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"KHG44B3TJREJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"KHG44B3TJREJGF6A","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"KHG44B3T","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:c586ade07e96fdaf59ca61501d42d5ee0aef24f4065cb30f2bea525342a39fc5","target":"graph","created_at":"2026-05-18T01:39:10Z","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 define, within the Schr\\\"odinger functional (SF) scheme, the matrix elements of the twist-2 operators corresponding to the first two moments of non-singlet parton density, and the first moment of singlet parton densities. We perform a lattice one-loop calculation that fixes the relation between the SF scheme and other common schemes and shows the main source of lattice artefacts. Few remarks on the improvement case are added.","authors_text":"Andrea Shindler","cross_cats":[],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1999-09-29T09:48:42Z","title":"Renormalization constants of local operators within the Schr\\\"odinger functional scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9909163","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":"sha256:065dd4475b384e3c9dcce717e9f9f65788108679f7246cdc856fb7a876d1702f","target":"record","created_at":"2026-05-18T01:39:10Z","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":"665a580a0340ae58409fae8e6f7f7faf585ce84569dbd4ef0327fc3889092988","cross_cats_sorted":[],"license":"","primary_cat":"hep-lat","submitted_at":"1999-09-29T09:48:42Z","title_canon_sha256":"76ca2d65a10c4e71985cb03f55e07a54412c5dee8bea8ede806ed88fa8da3899"},"schema_version":"1.0","source":{"id":"hep-lat/9909163","kind":"arxiv","version":1}},"canonical_sha256":"51cdce07734c489317c00db1c0db243827495f3e8dfcbc8b5ee60f7f3786d5f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51cdce07734c489317c00db1c0db243827495f3e8dfcbc8b5ee60f7f3786d5f4","first_computed_at":"2026-05-18T01:39:10.450674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:10.450674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YXraSRJSEpPMfJZ7u+1nAf2d2fdyOoWkB28yTPMwo4l65eVk9V3Ti3rx1bXnQu8t7+Ws4/4HIeXcfU1dH8eIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:10.451078Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9909163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:065dd4475b384e3c9dcce717e9f9f65788108679f7246cdc856fb7a876d1702f","sha256:c586ade07e96fdaf59ca61501d42d5ee0aef24f4065cb30f2bea525342a39fc5"],"state_sha256":"ce61a882e875e4f919a6c6568d7238ba7b5cad51d59cc627b64478906fd79020"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gS+9oBPgp/1lUdhxALI0O2A7H1s0gYstmrEjnx3A19pueVBIijOsxmfmXwz9UeeeGU+Ey+uIZtVXaKK/M5msDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T08:18:45.001685Z","bundle_sha256":"54f0f74879e60c4b00ef553e389a35fdc1a7c3215fcc76e3c5cdb1aafcec87c1"}}