{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:BNM6GGCENJKQFTQ52XTOLEPYLR","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":"3d30e938a8b9d2186482578c3654e5e39ca76d4840e6a0500acab242a3a435c1","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1997-04-29T16:52:12Z","title_canon_sha256":"50509f7e6f94e47c3399255f1cc70c42ca79741e2d2e5c36321695c6ee5fc70c"},"schema_version":"1.0","source":{"id":"hep-th/9704202","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9704202","created_at":"2026-07-04T16:05:34Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9704202v1","created_at":"2026-07-04T16:05:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9704202","created_at":"2026-07-04T16:05:34Z"},{"alias_kind":"pith_short_12","alias_value":"BNM6GGCENJKQ","created_at":"2026-07-04T16:05:34Z"},{"alias_kind":"pith_short_16","alias_value":"BNM6GGCENJKQFTQ5","created_at":"2026-07-04T16:05:34Z"},{"alias_kind":"pith_short_8","alias_value":"BNM6GGCE","created_at":"2026-07-04T16:05:34Z"}],"graph_snapshots":[{"event_id":"sha256:d8c3415441433310d86a226eea06004a2d097fadae1f0fbd3fcd6d09f8e7a855","target":"graph","created_at":"2026-07-04T16:05:34Z","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/9704202/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply a derivative expansion to the Legendre effective action flow equations of O(N) symmetric scalar field theory, making no other approximation. We calculate the critical exponents eta, nu, and omega at the both the leading and second order of the expansion, associated to the three dimensional Wilson-Fisher fixed points, at various values of N. In addition, we show how the derivative expansion reproduces exactly known results, at special values N=infinity,-2,-4, ... .","authors_text":"Michael D. Turner, Tim R. Morris","cross_cats":["cond-mat","hep-lat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-04-29T16:52:12Z","title":"Derivative expansion of the renormalization group in O(N) scalar field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9704202","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":"sha256:1060f1f66627d5c66fecf1f9c1623087f3d3a53540b76a6102b07084f5bd6532","target":"record","created_at":"2026-07-04T16:05:34Z","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":"3d30e938a8b9d2186482578c3654e5e39ca76d4840e6a0500acab242a3a435c1","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1997-04-29T16:52:12Z","title_canon_sha256":"50509f7e6f94e47c3399255f1cc70c42ca79741e2d2e5c36321695c6ee5fc70c"},"schema_version":"1.0","source":{"id":"hep-th/9704202","kind":"arxiv","version":1}},"canonical_sha256":"0b59e318446a5502ce1dd5e6e591f85c48e2c2c51a6344b14c68aece3f371596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b59e318446a5502ce1dd5e6e591f85c48e2c2c51a6344b14c68aece3f371596","first_computed_at":"2026-07-04T16:05:34.459758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:05:34.459758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QvklnKCZpMjlZUOYXWcHb5Xx7eUR5fvDDC6vzW/G8jjZJLInaDz9N8tCaygnoPFQDjMrkV6c6IqI9IbtnppZCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:05:34.460104Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9704202","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1060f1f66627d5c66fecf1f9c1623087f3d3a53540b76a6102b07084f5bd6532","sha256:d8c3415441433310d86a226eea06004a2d097fadae1f0fbd3fcd6d09f8e7a855"],"state_sha256":"93f6d531a50742b70939231287d1db1eb61cd42932a3d6c928fcefe4cba9a3b6"}