{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:MUGVXCTY5ZC2KY4FCNLRIBLX3F","short_pith_number":"pith:MUGVXCTY","canonical_record":{"source":{"id":"hep-th/0008248","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-08-31T13:38:25Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"629740846e645cde65d1dbdd29c966bf99b5f6eba7bf951d6250d4dfb0b35c5a","abstract_canon_sha256":"9e7df91d51bf0ffc8b0e2d98afb9eea94cd1bce0db5bb98e36c64cfdd1e2c1ea"},"schema_version":"1.0"},"canonical_sha256":"650d5b8a78ee45a563851357140577d959d24968409be7487610590aeaad18b3","source":{"kind":"arxiv","id":"hep-th/0008248","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0008248","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0008248v2","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0008248","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVXCTY5ZC2","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVXCTY5ZC2KY4F","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVXCTY","created_at":"2026-07-04T17:19:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:MUGVXCTY5ZC2KY4FCNLRIBLX3F","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0008248","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-08-31T13:38:25Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"629740846e645cde65d1dbdd29c966bf99b5f6eba7bf951d6250d4dfb0b35c5a","abstract_canon_sha256":"9e7df91d51bf0ffc8b0e2d98afb9eea94cd1bce0db5bb98e36c64cfdd1e2c1ea"},"schema_version":"1.0"},"canonical_sha256":"650d5b8a78ee45a563851357140577d959d24968409be7487610590aeaad18b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:19:00.964463Z","signature_b64":"6iTEr48g0MMVQlw6VGwYKHaqxz+rJqAMxybx9jUgkT9JyxC7pBFTbNPwlWwn+Cz2Bli3EYxZnl0WvFNJJYq0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650d5b8a78ee45a563851357140577d959d24968409be7487610590aeaad18b3","last_reissued_at":"2026-07-04T17:19:00.964073Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:19:00.964073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0008248","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":"2026-07-04T17:19:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dpc6F1iE9+5yuWdGXbXkFXMsL0n8mdLN+1wmfiju52wkJdVobpQJEV4G/qSwZxMIK/LSE8HYsWMctSGFtyQADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:09:37.220301Z"},"content_sha256":"3fed3dd85e4b12effcbbc5754c173cce9f028af5e3f9c041e73a0693edf72faa","schema_version":"1.0","event_id":"sha256:3fed3dd85e4b12effcbbc5754c173cce9f028af5e3f9c041e73a0693edf72faa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:MUGVXCTY5ZC2KY4FCNLRIBLX3F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization-group Calculation of Color-Coulomb Potential","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Attilio Cucchieri (Universitaet Bielefeld), Daniel Zwanziger (New York University)","submitted_at":"2000-08-31T13:38:25Z","abstract_excerpt":"We report here on the application of the perturbative renormalization-group to the Coulomb gauge in QCD. We use it to determine the high-momentum asymptotic form of the instantaneous color-Coulomb potential $V(\\vec{k})$ and of the vacuum polarization $P(\\vec{k}, k_4)$. These quantities are renormalization-group invariants, in the sense that they are independent of the renormalization scheme. A scheme-independent definition of the running coupling constant is provided by $\\vec{k}^2 V(\\vec{k}) = x_0 g^2(\\vec{k}/\\Lambda_{coul})$, and of $\\alpha_s \\equiv {{g^2(\\vec{k} / \\Lambda_{coul})} \\over {4\\p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0008248","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-th/0008248/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":"2026-07-04T17:19:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TCv0b4dO1RaDOARr4r2IpaOGmlgPm0HAWQBldDAERi4lGK/mXYfrxYKP1roaxYdcIna59yFEkCmP+hSToDDdAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:09:37.220794Z"},"content_sha256":"6f083ebe9267c11bb15a15a51fe91de780c148099e0b7e39b9e011e3351d1a1f","schema_version":"1.0","event_id":"sha256:6f083ebe9267c11bb15a15a51fe91de780c148099e0b7e39b9e011e3351d1a1f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/bundle.json","state_url":"https://pith.science/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/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":"2026-08-16T06:09:37Z","links":{"resolver":"https://pith.science/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F","bundle":"https://pith.science/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/bundle.json","state":"https://pith.science/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUGVXCTY5ZC2KY4FCNLRIBLX3F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:MUGVXCTY5ZC2KY4FCNLRIBLX3F","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":"9e7df91d51bf0ffc8b0e2d98afb9eea94cd1bce0db5bb98e36c64cfdd1e2c1ea","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-08-31T13:38:25Z","title_canon_sha256":"629740846e645cde65d1dbdd29c966bf99b5f6eba7bf951d6250d4dfb0b35c5a"},"schema_version":"1.0","source":{"id":"hep-th/0008248","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0008248","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0008248v2","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0008248","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVXCTY5ZC2","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVXCTY5ZC2KY4F","created_at":"2026-07-04T17:19:00Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVXCTY","created_at":"2026-07-04T17:19:00Z"}],"graph_snapshots":[{"event_id":"sha256:6f083ebe9267c11bb15a15a51fe91de780c148099e0b7e39b9e011e3351d1a1f","target":"graph","created_at":"2026-07-04T17:19:00Z","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-th/0008248/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report here on the application of the perturbative renormalization-group to the Coulomb gauge in QCD. We use it to determine the high-momentum asymptotic form of the instantaneous color-Coulomb potential $V(\\vec{k})$ and of the vacuum polarization $P(\\vec{k}, k_4)$. These quantities are renormalization-group invariants, in the sense that they are independent of the renormalization scheme. A scheme-independent definition of the running coupling constant is provided by $\\vec{k}^2 V(\\vec{k}) = x_0 g^2(\\vec{k}/\\Lambda_{coul})$, and of $\\alpha_s \\equiv {{g^2(\\vec{k} / \\Lambda_{coul})} \\over {4\\p","authors_text":"Attilio Cucchieri (Universitaet Bielefeld), Daniel Zwanziger (New York University)","cross_cats":["hep-lat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-08-31T13:38:25Z","title":"Renormalization-group Calculation of Color-Coulomb Potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0008248","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":"sha256:3fed3dd85e4b12effcbbc5754c173cce9f028af5e3f9c041e73a0693edf72faa","target":"record","created_at":"2026-07-04T17:19:00Z","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":"9e7df91d51bf0ffc8b0e2d98afb9eea94cd1bce0db5bb98e36c64cfdd1e2c1ea","cross_cats_sorted":["hep-lat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-08-31T13:38:25Z","title_canon_sha256":"629740846e645cde65d1dbdd29c966bf99b5f6eba7bf951d6250d4dfb0b35c5a"},"schema_version":"1.0","source":{"id":"hep-th/0008248","kind":"arxiv","version":2}},"canonical_sha256":"650d5b8a78ee45a563851357140577d959d24968409be7487610590aeaad18b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650d5b8a78ee45a563851357140577d959d24968409be7487610590aeaad18b3","first_computed_at":"2026-07-04T17:19:00.964073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:19:00.964073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6iTEr48g0MMVQlw6VGwYKHaqxz+rJqAMxybx9jUgkT9JyxC7pBFTbNPwlWwn+Cz2Bli3EYxZnl0WvFNJJYq0DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:19:00.964463Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0008248","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fed3dd85e4b12effcbbc5754c173cce9f028af5e3f9c041e73a0693edf72faa","sha256:6f083ebe9267c11bb15a15a51fe91de780c148099e0b7e39b9e011e3351d1a1f"],"state_sha256":"89bac5f0089ffdd651c820f780202172f40e5d7477244375e6627e2220d3fdf1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pwJNa3CJCu85SKUBHgkfIty681MwE8zObFkBqoctKBKjv6P32jf5a7wtYE5slFlb6m6avh0HzWCAuzxhtk5cBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T06:09:37.224299Z","bundle_sha256":"55f5fb30fa6560095f525fd2d961af2b8b728e8cbd16aa990d9da633e329f2b1"}}