{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IBOZAHG73GITTSFYIR4E2O73BK","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":"50409f589f09336bad1e73f3665349e6a1dbbe5fd66e3bef0d8068b3f81a15c1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-09-01T14:21:12Z","title_canon_sha256":"18b8d6167bf2e62e70fe95b344dfd77071841ba2e907b2881eeefaa83e0d82c5"},"schema_version":"1.0","source":{"id":"0709.0065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.0065","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"arxiv_version","alias_value":"0709.0065v1","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.0065","created_at":"2026-05-18T02:35:30Z"},{"alias_kind":"pith_short_12","alias_value":"IBOZAHG73GIT","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IBOZAHG73GITTSFY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IBOZAHG7","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:c1b6491b919bfb994ac542f5f2a58d717520cf3456e965b1d9953eb128321cfc","target":"graph","created_at":"2026-05-18T02:35:30Z","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":"The renormalization scheme for the Wick expansion of a modified version of the perturbative QCD introduced in previous works is discussed. Massless QCD is considered, by implementing the usual multiplicative scaling of the gluon and quark wave functions and vertices. However, also massive quark and gluon counter-terms are allowed in this mass less theory since the condensates are expected to generate masses. A natural set of expansion parameters of the physical quantities is introduced: the coupling itself and to masses $m_q$ and $m_g$ associated to quarks and gluons respectively. This procedu","authors_text":"Alejandro Cabo Montes de Oca","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-09-01T14:21:12Z","title":"Renormalized Wick expansion for a modified PQCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.0065","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":"sha256:21b683d146fb743a1d5425f7abea483fe2ad53b89853c41b8f0d587cb30dff15","target":"record","created_at":"2026-05-18T02:35:30Z","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":"50409f589f09336bad1e73f3665349e6a1dbbe5fd66e3bef0d8068b3f81a15c1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2007-09-01T14:21:12Z","title_canon_sha256":"18b8d6167bf2e62e70fe95b344dfd77071841ba2e907b2881eeefaa83e0d82c5"},"schema_version":"1.0","source":{"id":"0709.0065","kind":"arxiv","version":1}},"canonical_sha256":"405d901cdfd99139c8b844784d3bfb0a8744d002515d4f3313c95a5060fbebe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"405d901cdfd99139c8b844784d3bfb0a8744d002515d4f3313c95a5060fbebe1","first_computed_at":"2026-05-18T02:35:30.489059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:30.489059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eu6bNkSPJ9a8HMRJpJ/WfTt7JckJnz7CNQCfKCgL2ZcAXIBO8wx7TGXNE9/oUcINkkAoGL/AEHPjvNmuH/Y2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:30.489738Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.0065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21b683d146fb743a1d5425f7abea483fe2ad53b89853c41b8f0d587cb30dff15","sha256:c1b6491b919bfb994ac542f5f2a58d717520cf3456e965b1d9953eb128321cfc"],"state_sha256":"01b49c7e8cc771b6e77b7fd7f9f96b4b741861fcde7b91508936cabeb643455d"}