{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ULY542WIAQE2QLH6WUVIAWHMVK","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":"7930874fcfda21c586860889a45e103f11d41d29d52bca80dfde3b28f686bcea","cross_cats_sorted":["quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-22T20:32:10Z","title_canon_sha256":"086f350139bd8377ad908a7ce2400a5ced8d3df4b155ce8472e313728d370b4d"},"schema_version":"1.0","source":{"id":"hep-th/0602236","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0602236","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602236v3","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602236","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"ULY542WIAQE2","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ULY542WIAQE2QLH6","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ULY542WI","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:89af35005b6e52ce409add3698d6027f98687da96c01e394491781a35d511dda","target":"graph","created_at":"2026-05-18T04:28:28Z","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":"By averaging over an ensemble of field configurations, a classical field theory can display many of the characteristics of quantum field theory, including Lorentz invariance, a loop expansion, and renormalization effects. There is additional freedom in how the ensemble is chosen. When the field mode amplitudes have a Gaussian distribution, and the mode phases are randomly distributed, we review the known differences between the classical and quantum theories. When the mode amplitudes are fixed, or have a nongaussian distribution, the quartic and higher correlations among the free fields are mo","authors_text":"B. Holdom","cross_cats":["quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-02-22T20:32:10Z","title":"Approaching quantum behavior with classical fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602236","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:a1a5d49359c198a22601b5983d79492eab03cc6b73fca9e343903df2cb9f1fcf","target":"record","created_at":"2026-05-18T04:28:28Z","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":"7930874fcfda21c586860889a45e103f11d41d29d52bca80dfde3b28f686bcea","cross_cats_sorted":["quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2006-02-22T20:32:10Z","title_canon_sha256":"086f350139bd8377ad908a7ce2400a5ced8d3df4b155ce8472e313728d370b4d"},"schema_version":"1.0","source":{"id":"hep-th/0602236","kind":"arxiv","version":3}},"canonical_sha256":"a2f1de6ac80409a82cfeb52a8058ecaa8e321de938648529bb3e662b01c14bd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2f1de6ac80409a82cfeb52a8058ecaa8e321de938648529bb3e662b01c14bd9","first_computed_at":"2026-05-18T04:28:28.623088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.623088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6cRDqyHLrUCqL00aoNLxxmBQO6w3UpCHIAEE6mkeoftjlMlFTiaPbXJhsnpZog48Tl9wUDXBa3nQT8QLIxIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.623504Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0602236","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1a5d49359c198a22601b5983d79492eab03cc6b73fca9e343903df2cb9f1fcf","sha256:89af35005b6e52ce409add3698d6027f98687da96c01e394491781a35d511dda"],"state_sha256":"46e037c7abee91fedbc1d40173eba727e31aa3f41073b0889e1a99faf7d5cbd4"}