{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ZSYWZ2RIAONYOIZIIVJ6WBN722","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":"d31cd787218d7239b26a431575458fa9efb7e145106d08f183b9f28b51e35279","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-02-29T16:59:48Z","title_canon_sha256":"baa61b2f1697e880e6f9d1b22e223dac1fd0bf0d34b66d8351edf650ba7c5a66"},"schema_version":"1.0","source":{"id":"hep-th/0002254","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0002254","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0002254v2","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0002254","created_at":"2026-05-18T04:23:55Z"},{"alias_kind":"pith_short_12","alias_value":"ZSYWZ2RIAONY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZSYWZ2RIAONYOIZI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZSYWZ2RI","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:318e2c2591311956b667362521d69070c5809e3873af62551201e71b32ad8aa9","target":"graph","created_at":"2026-05-18T04:23:55Z","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":"Using the local potential approximation of the exact renormalization group (RG) equation, we show the various domains of values of the parameters of the O(1)-symmetric scalar Hamiltonian. In three dimensions, in addition to the usual critical surface $S_{c}$ (attraction domain of the Wilson-Fisher fixed point), we explicitly show the existence of a first-order phase transition domain $S_{f}$ separated from $S_{c}$ by the tricritical surface $S_{t}$ (attraction domain of the Gaussian fixed point). $S_{f}$ and $S_{c}$ are two distinct domains of repulsion for the Gaussian fixed point, but $S_{f}","authors_text":"C. Bagnuls, C. Bervillier","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-02-29T16:59:48Z","title":"Renormalization group domains of the scalar Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0002254","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:dbc91e168817b0306eb86e2e5d7d25d15fbfffcbddd8c1313e3b7477197df491","target":"record","created_at":"2026-05-18T04:23:55Z","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":"d31cd787218d7239b26a431575458fa9efb7e145106d08f183b9f28b51e35279","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"hep-th","submitted_at":"2000-02-29T16:59:48Z","title_canon_sha256":"baa61b2f1697e880e6f9d1b22e223dac1fd0bf0d34b66d8351edf650ba7c5a66"},"schema_version":"1.0","source":{"id":"hep-th/0002254","kind":"arxiv","version":2}},"canonical_sha256":"ccb16cea28039b8723284553eb05bfd6a079da14b1d69f5c3a4bc3b85d8a7289","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccb16cea28039b8723284553eb05bfd6a079da14b1d69f5c3a4bc3b85d8a7289","first_computed_at":"2026-05-18T04:23:55.031873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:55.031873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+lXhXEe+opak2zk+S+XP+wZgP/QZryMyLOrp7LVrd6OZoSr6g2ZNr0zMXENdQJmMWFrVvnVYk7JVVsuBUcpZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:55.032411Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0002254","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbc91e168817b0306eb86e2e5d7d25d15fbfffcbddd8c1313e3b7477197df491","sha256:318e2c2591311956b667362521d69070c5809e3873af62551201e71b32ad8aa9"],"state_sha256":"19bb48b18f2f6b68af69ac240e0a93fc8295c082fe124f98c2f9a63dad62aace"}