{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:TJIJVNQKCEHUOBTHBFEQH7OO4M","short_pith_number":"pith:TJIJVNQK","schema_version":"1.0","canonical_sha256":"9a509ab60a110f470667094903fdcee32f7379d5d0e832bc2160bfa4500677ec","source":{"kind":"arxiv","id":"cond-mat/0408407","version":1},"attestation_state":"computed","paper":{"title":"Statistical Mechanics of Self-Avoiding Manifolds (Part II)","license":"","headline":"","cross_cats":["cond-mat.soft","hep-th","math-ph","math.MP","math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bertrand Duplantier","submitted_at":"2004-08-18T17:06:05Z","abstract_excerpt":"We consider a model of a D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. Use of intrinsic distance geometry provides a rigorous definition of the analytic continuation of the perturbative expansion for arbitrary D, 0 < D < 2. Its one-loop renormalizability is first established by direct resummation. A renormalization operation R is then described, which ensures renormalizability to all orders. The similar question of the renormalizability of the self-avoiding manifold (SAM) Edwards model is then considered, first at one-loop, then to all orders. We de"},"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":"cond-mat/0408407","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2004-08-18T17:06:05Z","cross_cats_sorted":["cond-mat.soft","hep-th","math-ph","math.MP","math.PR"],"title_canon_sha256":"eea3dae420985d7b0c25f03365459087e41dae7134ee845864acfb41a3f21f7c","abstract_canon_sha256":"fe64a14612ce7dc16582be96ca8e16fa78047063ec6138076128d008423827a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:19.726559Z","signature_b64":"fRK8j2501SOEULjtb7Zlv6PD232ZbkL8NbhFw+FGtudxBei4vIA35JvCM6xAAJ1mzjutMk9B/bkHTTW3cB4tDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a509ab60a110f470667094903fdcee32f7379d5d0e832bc2160bfa4500677ec","last_reissued_at":"2026-05-18T00:57:19.726021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:19.726021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statistical Mechanics of Self-Avoiding Manifolds (Part II)","license":"","headline":"","cross_cats":["cond-mat.soft","hep-th","math-ph","math.MP","math.PR"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bertrand Duplantier","submitted_at":"2004-08-18T17:06:05Z","abstract_excerpt":"We consider a model of a D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. Use of intrinsic distance geometry provides a rigorous definition of the analytic continuation of the perturbative expansion for arbitrary D, 0 < D < 2. Its one-loop renormalizability is first established by direct resummation. A renormalization operation R is then described, which ensures renormalizability to all orders. The similar question of the renormalizability of the self-avoiding manifold (SAM) Edwards model is then considered, first at one-loop, then to all orders. We de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0408407","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":""},"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":"cond-mat/0408407","created_at":"2026-05-18T00:57:19.726109+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0408407v1","created_at":"2026-05-18T00:57:19.726109+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0408407","created_at":"2026-05-18T00:57:19.726109+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJIJVNQKCEHU","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJIJVNQKCEHUOBTH","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJIJVNQK","created_at":"2026-05-18T12:25:52.687210+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/TJIJVNQKCEHUOBTHBFEQH7OO4M","json":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M.json","graph_json":"https://pith.science/api/pith-number/TJIJVNQKCEHUOBTHBFEQH7OO4M/graph.json","events_json":"https://pith.science/api/pith-number/TJIJVNQKCEHUOBTHBFEQH7OO4M/events.json","paper":"https://pith.science/paper/TJIJVNQK"},"agent_actions":{"view_html":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M","download_json":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M.json","view_paper":"https://pith.science/paper/TJIJVNQK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0408407&json=true","fetch_graph":"https://pith.science/api/pith-number/TJIJVNQKCEHUOBTHBFEQH7OO4M/graph.json","fetch_events":"https://pith.science/api/pith-number/TJIJVNQKCEHUOBTHBFEQH7OO4M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M/action/storage_attestation","attest_author":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M/action/author_attestation","sign_citation":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M/action/citation_signature","submit_replication":"https://pith.science/pith/TJIJVNQKCEHUOBTHBFEQH7OO4M/action/replication_record"}},"created_at":"2026-05-18T00:57:19.726109+00:00","updated_at":"2026-05-18T00:57:19.726109+00:00"}