{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:IK2JKLVKNL5TYXIK5PPSGG7N3B","short_pith_number":"pith:IK2JKLVK","schema_version":"1.0","canonical_sha256":"42b4952eaa6afb3c5d0aebdf231bedd8702be0616a42ca088d8e51489396739d","source":{"kind":"arxiv","id":"2602.11369","version":1},"attestation_state":"computed","paper":{"title":"Renormalization group analysis of directed percolation process: Towards multiloop calculation of scaling functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Luk\\'a\\v{s} Mi\\v{z}i\\v{s}in, Matej Kecer, Michal Hnati\\v{c}, Tom\\'a\\v{s} Lu\\v{c}ivjansk\\'y","submitted_at":"2026-02-11T20:59:06Z","abstract_excerpt":"In this work, we employ a field-theoretic renormalization group approach to study a paradigmatic model of directed percolation. We focus on the perturbative calculation of the equation of state, extending the analysis to the three-loop order in the expansion parameter $\\varepsilon = 4-d$. We show that a large group of the necessary three-loop Feynman diagrams can be mapped onto already existing three-loop results, and develop a technique for the calculation of the remaining -- truly novel -- ones. The described semi-analytic procedure is further used to verify existing two-loop results. The ma"},"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":"2602.11369","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-02-11T20:59:06Z","cross_cats_sorted":[],"title_canon_sha256":"c86c6350fa40fc2ccae463e9597549e1a1b71f0194efabc14bdfd73dc090b727","abstract_canon_sha256":"3a1c92072e4a7ea7df1f69f7c22fa7dcda46c7cda57084e18abaf552593ae52f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:11:20.746525Z","signature_b64":"rvsQ3GUgOiGaoClJzcR4WRq65DxMbF2SptBFdt77+oH8brRyldhg5lAtqonN+xncQMWwKtaSVDY24j/PSZdLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42b4952eaa6afb3c5d0aebdf231bedd8702be0616a42ca088d8e51489396739d","last_reissued_at":"2026-06-19T16:11:20.746093Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:11:20.746093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization group analysis of directed percolation process: Towards multiloop calculation of scaling functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Luk\\'a\\v{s} Mi\\v{z}i\\v{s}in, Matej Kecer, Michal Hnati\\v{c}, Tom\\'a\\v{s} Lu\\v{c}ivjansk\\'y","submitted_at":"2026-02-11T20:59:06Z","abstract_excerpt":"In this work, we employ a field-theoretic renormalization group approach to study a paradigmatic model of directed percolation. We focus on the perturbative calculation of the equation of state, extending the analysis to the three-loop order in the expansion parameter $\\varepsilon = 4-d$. We show that a large group of the necessary three-loop Feynman diagrams can be mapped onto already existing three-loop results, and develop a technique for the calculation of the remaining -- truly novel -- ones. The described semi-analytic procedure is further used to verify existing two-loop results. The ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.11369","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.11369/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2602.11369","created_at":"2026-06-19T16:11:20.746149+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.11369v1","created_at":"2026-06-19T16:11:20.746149+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.11369","created_at":"2026-06-19T16:11:20.746149+00:00"},{"alias_kind":"pith_short_12","alias_value":"IK2JKLVKNL5T","created_at":"2026-06-19T16:11:20.746149+00:00"},{"alias_kind":"pith_short_16","alias_value":"IK2JKLVKNL5TYXIK","created_at":"2026-06-19T16:11:20.746149+00:00"},{"alias_kind":"pith_short_8","alias_value":"IK2JKLVK","created_at":"2026-06-19T16:11:20.746149+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B","json":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B.json","graph_json":"https://pith.science/api/pith-number/IK2JKLVKNL5TYXIK5PPSGG7N3B/graph.json","events_json":"https://pith.science/api/pith-number/IK2JKLVKNL5TYXIK5PPSGG7N3B/events.json","paper":"https://pith.science/paper/IK2JKLVK"},"agent_actions":{"view_html":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B","download_json":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B.json","view_paper":"https://pith.science/paper/IK2JKLVK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.11369&json=true","fetch_graph":"https://pith.science/api/pith-number/IK2JKLVKNL5TYXIK5PPSGG7N3B/graph.json","fetch_events":"https://pith.science/api/pith-number/IK2JKLVKNL5TYXIK5PPSGG7N3B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B/action/storage_attestation","attest_author":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B/action/author_attestation","sign_citation":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B/action/citation_signature","submit_replication":"https://pith.science/pith/IK2JKLVKNL5TYXIK5PPSGG7N3B/action/replication_record"}},"created_at":"2026-06-19T16:11:20.746149+00:00","updated_at":"2026-06-19T16:11:20.746149+00:00"}