{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:B6WWSCWWXMD2VIRCVV24YVWDBI","short_pith_number":"pith:B6WWSCWW","canonical_record":{"source":{"id":"1312.6651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T19:22:55Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"7b88404a24716db4f2f5a78c71e6ceb16334e544eb9f6d73b0ea19364f862e3a","abstract_canon_sha256":"4f6daa70efdc7896955b44cac3712a126a5c413e9dc1694e822fad64a47271a8"},"schema_version":"1.0"},"canonical_sha256":"0fad690ad6bb07aaa222ad75cc56c30a29292fe1e6087d6feb057b1fddb3ecdf","source":{"kind":"arxiv","id":"1312.6651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6651","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6651v1","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6651","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"B6WWSCWWXMD2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"B6WWSCWWXMD2VIRC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"B6WWSCWW","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:B6WWSCWWXMD2VIRCVV24YVWDBI","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T19:22:55Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"7b88404a24716db4f2f5a78c71e6ceb16334e544eb9f6d73b0ea19364f862e3a","abstract_canon_sha256":"4f6daa70efdc7896955b44cac3712a126a5c413e9dc1694e822fad64a47271a8"},"schema_version":"1.0"},"canonical_sha256":"0fad690ad6bb07aaa222ad75cc56c30a29292fe1e6087d6feb057b1fddb3ecdf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:42.392648Z","signature_b64":"ioDzd0otuROFL1y52mU2sI3HzA9kEiLzHIp7byf7Pa56uLUq8V3Rt5hWkWNN3jUlD5pPwsExXDDqjtq5AXEFDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fad690ad6bb07aaa222ad75cc56c30a29292fe1e6087d6feb057b1fddb3ecdf","last_reissued_at":"2026-05-18T01:45:42.391880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:42.391880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6651","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":"2026-05-18T01:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xpf3KIUuF7WQb/iT0bpbVe6bvfU0FYnGM/FUuR1vn0yFb70p/UhK+zCMKlBu9PLFea9FNCApT/MvKYIosGzxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:52:43.952153Z"},"content_sha256":"acc0134682028be642be6be05ea303915ef98db2e9e1dbc445da295671fa03d9","schema_version":"1.0","event_id":"sha256:acc0134682028be642be6be05ea303915ef98db2e9e1dbc445da295671fa03d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:B6WWSCWWXMD2VIRCVV24YVWDBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of Loop Functions in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Antonio Vairo, Matthias Berwein, Nora Brambilla","submitted_at":"2013-12-23T19:22:55Z","abstract_excerpt":"We give a short overview of the renormalization properties of rectangular Wilson loops, the Polyakov loop correlator and the cyclic Wilson loop. We then discuss how to renormalize loops with more than one intersection, using the simplest non-trivial case as an illustrative example. Our findings expand on previous treatments. The generalized exponentiation theorem is applied to the Polyakov loop correlator and used to renormalize linear divergences in the cyclic Wilson loop."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6651","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":"2026-05-18T01:45:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQTA4bkKjXHroChMrZWK/nuvntJeVOx3NPZxoBYd1DC0eoF15A6fVNDFVbE4kYgDKJGShIYaD/NjmUtoyyUDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:52:43.952551Z"},"content_sha256":"7b5b2164d8263568603a37a76a3b9ae60a273f1bfed67badbf3272e83240b27a","schema_version":"1.0","event_id":"sha256:7b5b2164d8263568603a37a76a3b9ae60a273f1bfed67badbf3272e83240b27a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/bundle.json","state_url":"https://pith.science/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/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":"2026-05-31T03:52:43Z","links":{"resolver":"https://pith.science/pith/B6WWSCWWXMD2VIRCVV24YVWDBI","bundle":"https://pith.science/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/bundle.json","state":"https://pith.science/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6WWSCWWXMD2VIRCVV24YVWDBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:B6WWSCWWXMD2VIRCVV24YVWDBI","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":"4f6daa70efdc7896955b44cac3712a126a5c413e9dc1694e822fad64a47271a8","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T19:22:55Z","title_canon_sha256":"7b88404a24716db4f2f5a78c71e6ceb16334e544eb9f6d73b0ea19364f862e3a"},"schema_version":"1.0","source":{"id":"1312.6651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6651","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6651v1","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6651","created_at":"2026-05-18T01:45:42Z"},{"alias_kind":"pith_short_12","alias_value":"B6WWSCWWXMD2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"B6WWSCWWXMD2VIRC","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"B6WWSCWW","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:7b5b2164d8263568603a37a76a3b9ae60a273f1bfed67badbf3272e83240b27a","target":"graph","created_at":"2026-05-18T01:45:42Z","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 give a short overview of the renormalization properties of rectangular Wilson loops, the Polyakov loop correlator and the cyclic Wilson loop. We then discuss how to renormalize loops with more than one intersection, using the simplest non-trivial case as an illustrative example. Our findings expand on previous treatments. The generalized exponentiation theorem is applied to the Polyakov loop correlator and used to renormalize linear divergences in the cyclic Wilson loop.","authors_text":"Antonio Vairo, Matthias Berwein, Nora Brambilla","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T19:22:55Z","title":"Renormalization of Loop Functions in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6651","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:acc0134682028be642be6be05ea303915ef98db2e9e1dbc445da295671fa03d9","target":"record","created_at":"2026-05-18T01:45:42Z","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":"4f6daa70efdc7896955b44cac3712a126a5c413e9dc1694e822fad64a47271a8","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-23T19:22:55Z","title_canon_sha256":"7b88404a24716db4f2f5a78c71e6ceb16334e544eb9f6d73b0ea19364f862e3a"},"schema_version":"1.0","source":{"id":"1312.6651","kind":"arxiv","version":1}},"canonical_sha256":"0fad690ad6bb07aaa222ad75cc56c30a29292fe1e6087d6feb057b1fddb3ecdf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fad690ad6bb07aaa222ad75cc56c30a29292fe1e6087d6feb057b1fddb3ecdf","first_computed_at":"2026-05-18T01:45:42.391880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:42.391880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ioDzd0otuROFL1y52mU2sI3HzA9kEiLzHIp7byf7Pa56uLUq8V3Rt5hWkWNN3jUlD5pPwsExXDDqjtq5AXEFDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:42.392648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acc0134682028be642be6be05ea303915ef98db2e9e1dbc445da295671fa03d9","sha256:7b5b2164d8263568603a37a76a3b9ae60a273f1bfed67badbf3272e83240b27a"],"state_sha256":"dcfd840c46082d8a90f6bd650b7c69a2c7a4600bf49d0a3a6b107b6e44c51fb3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+fTha+KQJZ2Bmvk3fA3boL3ZoeS15unU09Jylui50ypM07qwXcNqn57+fAtc5boUprT+baDHNZXz/hCv3KlDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:52:43.956544Z","bundle_sha256":"5a1d3d681f6aebfe9af676f5de4010fb0a889186cc4cca2afa40e1a52d8d863d"}}