{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:QUDJSP6ZFZQ4C7LSQ65QXGNRFF","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":"4e861bd93cad520c8ba9c85a71e39aab4f7e257bbff1e6a4e109174750822c4c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-08-01T11:33:10Z","title_canon_sha256":"99f4d306d5df11d49e1ff785051b07851b5745cb7c098e671236f892f9d7e6de"},"schema_version":"1.0","source":{"id":"hep-ph/0208008","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0208008","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0208008v3","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0208008","created_at":"2026-05-18T01:09:00Z"},{"alias_kind":"pith_short_12","alias_value":"QUDJSP6ZFZQ4","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"QUDJSP6ZFZQ4C7LS","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"QUDJSP6Z","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:6641cd08be29321859d168d229a2b7145cd05d3c93d18926d027dfbb4d863057","target":"graph","created_at":"2026-05-18T01:09:00Z","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"},"paper":{"abstract_excerpt":"We give a more transparent understanding of the vacuum expectation value of the renormalised local operator A^2 by relating it to the gluon propagator integrated over the momentum. The quadratically divergent perturbative contribution is subtracted and the remainder, dominantly due to the O(1/p^2) correction to the perturbative propagator at large p^2 is logarithmically divergent. This provides a transparent derivation of the fact that this O(1/p^2) term is related to the vacuum expectation value of the local A^2 operator and confirms a previous claim based on the operator product expansion (O","authors_text":"A. Le Yaouanc, F. de Soto, H. Moutarde, J. Micheli, J.P. Leroy, J. Rodr\\'iguez-Quintero, O. P\\`ene, Ph. Boucaud","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2002-08-01T11:33:10Z","title":"A transparent expression of the A^2-Condensate's renormalisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0208008","kind":"arxiv","version":3},"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:ba16fe0a20914ff526f6cbc27fa2e6f00830b43c7e87e2e68392675eb69be864","target":"record","created_at":"2026-05-18T01:09:00Z","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":"4e861bd93cad520c8ba9c85a71e39aab4f7e257bbff1e6a4e109174750822c4c","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2002-08-01T11:33:10Z","title_canon_sha256":"99f4d306d5df11d49e1ff785051b07851b5745cb7c098e671236f892f9d7e6de"},"schema_version":"1.0","source":{"id":"hep-ph/0208008","kind":"arxiv","version":3}},"canonical_sha256":"8506993fd92e61c17d7287bb0b99b1295b07c1d920d8a4f067d4e124f898f8a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8506993fd92e61c17d7287bb0b99b1295b07c1d920d8a4f067d4e124f898f8a1","first_computed_at":"2026-05-18T01:09:00.283666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:00.283666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"43eJkBOiXSlUeIZ9Vb6dd1Lqx3pykPI5KUhTH/U+oj6VD5w28lHYdnKHtnR5UW4cX51/zpBfFRFrz37y69dXCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:00.284074Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0208008","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba16fe0a20914ff526f6cbc27fa2e6f00830b43c7e87e2e68392675eb69be864","sha256:6641cd08be29321859d168d229a2b7145cd05d3c93d18926d027dfbb4d863057"],"state_sha256":"4e690a5a706561e3e62db1a38a2f10fa45d16ec91fc716cc237d86465560f15f"}