{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MGPM7CWFBSHT54H3V6Q4YRYDJV","short_pith_number":"pith:MGPM7CWF","schema_version":"1.0","canonical_sha256":"619ecf8ac50c8f3ef0fbafa1cc47034d4f32f304e770db7099eae20b0ad2b576","source":{"kind":"arxiv","id":"2410.03649","version":2},"attestation_state":"computed","paper":{"title":"An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hugo Duminil-Copin, Romain Panis","submitted_at":"2024-10-04T17:54:27Z","abstract_excerpt":"This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions $d>4$. Among other results, we obtain up-to-constant estimates for the full-space and half-space two-point functions in the critical and near-critical regimes. A companion paper proposes a similar analysis for spread-out Bernoulli percolation in dimensions $d>6$."},"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":"2410.03649","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-10-04T17:54:27Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"57061018cd42bd239404e5f4ef522f0660f0d4f5e9a30c46637434d59646a50a","abstract_canon_sha256":"72502f10a30bdd63069a674e4166565c61c4c0e8836720a39c9c3d9204aa67e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:43:07.639000Z","signature_b64":"58BP3DAlwo8Dzpzkt/9Sclp3T3Fg4FbrQQfRu61eVnOcn8kabGIgzGNUqD/felPJA0Y4uLDNq3OH7zedzAByDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"619ecf8ac50c8f3ef0fbafa1cc47034d4f32f304e770db7099eae20b0ad2b576","last_reissued_at":"2026-07-05T11:43:07.638544Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:43:07.638544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hugo Duminil-Copin, Romain Panis","submitted_at":"2024-10-04T17:54:27Z","abstract_excerpt":"This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions $d>4$. Among other results, we obtain up-to-constant estimates for the full-space and half-space two-point functions in the critical and near-critical regimes. A companion paper proposes a similar analysis for spread-out Bernoulli percolation in dimensions $d>6$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.03649","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.03649/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":"2410.03649","created_at":"2026-07-05T11:43:07.638600+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.03649v2","created_at":"2026-07-05T11:43:07.638600+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.03649","created_at":"2026-07-05T11:43:07.638600+00:00"},{"alias_kind":"pith_short_12","alias_value":"MGPM7CWFBSHT","created_at":"2026-07-05T11:43:07.638600+00:00"},{"alias_kind":"pith_short_16","alias_value":"MGPM7CWFBSHT54H3","created_at":"2026-07-05T11:43:07.638600+00:00"},{"alias_kind":"pith_short_8","alias_value":"MGPM7CWF","created_at":"2026-07-05T11:43:07.638600+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/MGPM7CWFBSHT54H3V6Q4YRYDJV","json":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV.json","graph_json":"https://pith.science/api/pith-number/MGPM7CWFBSHT54H3V6Q4YRYDJV/graph.json","events_json":"https://pith.science/api/pith-number/MGPM7CWFBSHT54H3V6Q4YRYDJV/events.json","paper":"https://pith.science/paper/MGPM7CWF"},"agent_actions":{"view_html":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV","download_json":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV.json","view_paper":"https://pith.science/paper/MGPM7CWF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.03649&json=true","fetch_graph":"https://pith.science/api/pith-number/MGPM7CWFBSHT54H3V6Q4YRYDJV/graph.json","fetch_events":"https://pith.science/api/pith-number/MGPM7CWFBSHT54H3V6Q4YRYDJV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV/action/storage_attestation","attest_author":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV/action/author_attestation","sign_citation":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV/action/citation_signature","submit_replication":"https://pith.science/pith/MGPM7CWFBSHT54H3V6Q4YRYDJV/action/replication_record"}},"created_at":"2026-07-05T11:43:07.638600+00:00","updated_at":"2026-07-05T11:43:07.638600+00:00"}