{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:VXTHM5JLA5ALVUX3YC42MFRUIN","short_pith_number":"pith:VXTHM5JL","schema_version":"1.0","canonical_sha256":"ade676752b0740bad2fbc0b9a616344350fa774b0757067e76e81a92f37f3c42","source":{"kind":"arxiv","id":"hep-th/0010095","version":2},"attestation_state":"computed","paper":{"title":"Towards an accurate determination of the critical exponents with the Renormalization Group flow equations","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Bonanno, D.Zappal\\`a","submitted_at":"2000-10-12T08:53:26Z","abstract_excerpt":"The determination of the critical exponents by means of the Exact Renormalizion Group approach is still a topic of debate. The general flow equation is by construction scheme independent, but the use of the truncated derivative expansion generates a model dependence in the determination of the universal quantities. We derive new nonperturbative flow equations for the one-component, $Z_2$ symmetric scalar field to the next-to-leading order of the derivative expansion by means of a class of proper time regulators. The critical exponents $\\eta$, $\\nu$ and $\\omega$ for the Wilson-Fisher fixed poin"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-th/0010095","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-10-12T08:53:26Z","cross_cats_sorted":[],"title_canon_sha256":"6a80b232ffc19b7f905ee880fd5af0cd9eb1c470a0aad96b822053ab1f06ee26","abstract_canon_sha256":"8a226f3e30d76a4040c604326a8001f87b6ea97980e3071f57964dc7767415e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:36.865103Z","signature_b64":"tkumMGhqiiE8/f90d9k61nKp4xAWTuzIDvdeO1VZnuzF/rUUT/94+jPy5jNUFSKSSNQXFrmZS0dDNl2ZciClDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ade676752b0740bad2fbc0b9a616344350fa774b0757067e76e81a92f37f3c42","last_reissued_at":"2026-05-18T04:17:36.864657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:36.864657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards an accurate determination of the critical exponents with the Renormalization Group flow equations","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Bonanno, D.Zappal\\`a","submitted_at":"2000-10-12T08:53:26Z","abstract_excerpt":"The determination of the critical exponents by means of the Exact Renormalizion Group approach is still a topic of debate. The general flow equation is by construction scheme independent, but the use of the truncated derivative expansion generates a model dependence in the determination of the universal quantities. We derive new nonperturbative flow equations for the one-component, $Z_2$ symmetric scalar field to the next-to-leading order of the derivative expansion by means of a class of proper time regulators. The critical exponents $\\eta$, $\\nu$ and $\\omega$ for the Wilson-Fisher fixed poin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0010095","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0010095","created_at":"2026-05-18T04:17:36.864728+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0010095v2","created_at":"2026-05-18T04:17:36.864728+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0010095","created_at":"2026-05-18T04:17:36.864728+00:00"},{"alias_kind":"pith_short_12","alias_value":"VXTHM5JLA5AL","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"VXTHM5JLA5ALVUX3","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"VXTHM5JL","created_at":"2026-05-18T12:25:50.254431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.00807","citing_title":"Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2604.03033","citing_title":"Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow","ref_index":80,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10338","citing_title":"Fifth-Force Constraints from UV-Complete Scalar-Tensor Gravity","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2604.25103","citing_title":"Rethinking Dimensional Regularization in Critical Phenomena","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN","json":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN.json","graph_json":"https://pith.science/api/pith-number/VXTHM5JLA5ALVUX3YC42MFRUIN/graph.json","events_json":"https://pith.science/api/pith-number/VXTHM5JLA5ALVUX3YC42MFRUIN/events.json","paper":"https://pith.science/paper/VXTHM5JL"},"agent_actions":{"view_html":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN","download_json":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN.json","view_paper":"https://pith.science/paper/VXTHM5JL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0010095&json=true","fetch_graph":"https://pith.science/api/pith-number/VXTHM5JLA5ALVUX3YC42MFRUIN/graph.json","fetch_events":"https://pith.science/api/pith-number/VXTHM5JLA5ALVUX3YC42MFRUIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN/action/storage_attestation","attest_author":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN/action/author_attestation","sign_citation":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN/action/citation_signature","submit_replication":"https://pith.science/pith/VXTHM5JLA5ALVUX3YC42MFRUIN/action/replication_record"}},"created_at":"2026-05-18T04:17:36.864728+00:00","updated_at":"2026-05-18T04:17:36.864728+00:00"}