{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OFSOIIM72I6FPQD67SOZUCYNKR","short_pith_number":"pith:OFSOIIM7","schema_version":"1.0","canonical_sha256":"7164e4219fd23c57c07efc9d9a0b0d5444437b5c959854ddb8c36aca8e224db6","source":{"kind":"arxiv","id":"1209.4650","version":2},"attestation_state":"computed","paper":{"title":"Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1, 2+1 and 3+1 dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"L\\'eonie Canet, Nicol\\'as Wschebor, Thomas Kloss","submitted_at":"2012-09-20T20:00:25Z","abstract_excerpt":"We investigate the strong-coupling regime of the stationary Kardar-Parisi-Zhang equation for interfaces growing on a substrate of dimension d=1, 2, and 3 using a nonperturbative renormalization group (NPRG) approach. We compute critical exponents, correlation and response functions, extract the related scaling functions and calculate universal amplitude ratios. We work with a simplified implementation of the second-order (in the response field) approximation proposed in a previous work [PRE 84, 061128 (2011) and Erratum 86, 019904 (2012)], which greatly simplifies the frequency sector of the N"},"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":"1209.4650","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-09-20T20:00:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"636678f9e375ca1e9e6ee8446e27a44e25ab583d88f04a656e4b5b8a8b8c398d","abstract_canon_sha256":"7d4b30a924684ce054975e1860bb3402aebd9f564bface169f8d79a1185902af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:19.176777Z","signature_b64":"Gja6jrH13HIEURmGO2AI5cJkZTVnUbe5u8+dB/ixhWSgcJomQpnn4T6PTVMvHx1RTM85kFLaBHy4c1e5i15PDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7164e4219fd23c57c07efc9d9a0b0d5444437b5c959854ddb8c36aca8e224db6","last_reissued_at":"2026-05-18T03:16:19.176233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:19.176233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1, 2+1 and 3+1 dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"L\\'eonie Canet, Nicol\\'as Wschebor, Thomas Kloss","submitted_at":"2012-09-20T20:00:25Z","abstract_excerpt":"We investigate the strong-coupling regime of the stationary Kardar-Parisi-Zhang equation for interfaces growing on a substrate of dimension d=1, 2, and 3 using a nonperturbative renormalization group (NPRG) approach. We compute critical exponents, correlation and response functions, extract the related scaling functions and calculate universal amplitude ratios. We work with a simplified implementation of the second-order (in the response field) approximation proposed in a previous work [PRE 84, 061128 (2011) and Erratum 86, 019904 (2012)], which greatly simplifies the frequency sector of the N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4650","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":"1209.4650","created_at":"2026-05-18T03:16:19.176327+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.4650v2","created_at":"2026-05-18T03:16:19.176327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4650","created_at":"2026-05-18T03:16:19.176327+00:00"},{"alias_kind":"pith_short_12","alias_value":"OFSOIIM72I6F","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"OFSOIIM72I6FPQD6","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"OFSOIIM7","created_at":"2026-05-18T12:27:16.716162+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/OFSOIIM72I6FPQD67SOZUCYNKR","json":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR.json","graph_json":"https://pith.science/api/pith-number/OFSOIIM72I6FPQD67SOZUCYNKR/graph.json","events_json":"https://pith.science/api/pith-number/OFSOIIM72I6FPQD67SOZUCYNKR/events.json","paper":"https://pith.science/paper/OFSOIIM7"},"agent_actions":{"view_html":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR","download_json":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR.json","view_paper":"https://pith.science/paper/OFSOIIM7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.4650&json=true","fetch_graph":"https://pith.science/api/pith-number/OFSOIIM72I6FPQD67SOZUCYNKR/graph.json","fetch_events":"https://pith.science/api/pith-number/OFSOIIM72I6FPQD67SOZUCYNKR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR/action/storage_attestation","attest_author":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR/action/author_attestation","sign_citation":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR/action/citation_signature","submit_replication":"https://pith.science/pith/OFSOIIM72I6FPQD67SOZUCYNKR/action/replication_record"}},"created_at":"2026-05-18T03:16:19.176327+00:00","updated_at":"2026-05-18T03:16:19.176327+00:00"}