{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:3VFWBYQW55F3C6DTLBDS2EIAWH","short_pith_number":"pith:3VFWBYQW","schema_version":"1.0","canonical_sha256":"dd4b60e216ef4bb1787358472d1100b1f66f4fc5ac49cacd797daf0b64f66379","source":{"kind":"arxiv","id":"cond-mat/9803279","version":1},"attestation_state":"computed","paper":{"title":"A geometric generalization of field theory to manifolds of arbitrary dimension","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"Kay Joerg Wiese, Mehran Kardar","submitted_at":"1998-03-23T18:47:36Z","abstract_excerpt":"We introduce a generalization of the O(N) field theory to N-colored membranes of arbitrary inner dimension D. The O(N) model is obtained for D->1, while N->0 leads to self-avoiding tethered membranes (as the O(N) model reduces to self-avoiding polymers). The model is studied perturbatively by a 1-loop renormalization group analysis, and exactly as N->infinity. Freedom to choose the expansion point D, leads to precise estimates of critical exponents of the O(N) model. Insights gained from this generalization include a conjecture on the nature of droplets dominating the 3d-Ising model at critica"},"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/9803279","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1998-03-23T18:47:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d0d9331c391982f33f8478c3e533353b7b4386a19a656f5670374c7cb7929337","abstract_canon_sha256":"6fca888a6b335d98927b017e9a999a00cdf082e9d844c8fe277b1267d1dad2bf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:18.794773Z","signature_b64":"HJ9+yHUzFF8Zw4HaUUYnTVqhPshZ1QSLlnkQyCC+DNlhdHwf3GFDJzjMlx2PzSqTyfZSi5tZSogA//ZHnrxKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd4b60e216ef4bb1787358472d1100b1f66f4fc5ac49cacd797daf0b64f66379","last_reissued_at":"2026-05-18T04:11:18.794148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:18.794148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A geometric generalization of field theory to manifolds of arbitrary dimension","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"Kay Joerg Wiese, Mehran Kardar","submitted_at":"1998-03-23T18:47:36Z","abstract_excerpt":"We introduce a generalization of the O(N) field theory to N-colored membranes of arbitrary inner dimension D. The O(N) model is obtained for D->1, while N->0 leads to self-avoiding tethered membranes (as the O(N) model reduces to self-avoiding polymers). The model is studied perturbatively by a 1-loop renormalization group analysis, and exactly as N->infinity. Freedom to choose the expansion point D, leads to precise estimates of critical exponents of the O(N) model. Insights gained from this generalization include a conjecture on the nature of droplets dominating the 3d-Ising model at critica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9803279","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/9803279","created_at":"2026-05-18T04:11:18.794244+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9803279v1","created_at":"2026-05-18T04:11:18.794244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9803279","created_at":"2026-05-18T04:11:18.794244+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VFWBYQW55F3","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VFWBYQW55F3C6DT","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VFWBYQW","created_at":"2026-05-18T12:25:49.038998+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/3VFWBYQW55F3C6DTLBDS2EIAWH","json":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH.json","graph_json":"https://pith.science/api/pith-number/3VFWBYQW55F3C6DTLBDS2EIAWH/graph.json","events_json":"https://pith.science/api/pith-number/3VFWBYQW55F3C6DTLBDS2EIAWH/events.json","paper":"https://pith.science/paper/3VFWBYQW"},"agent_actions":{"view_html":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH","download_json":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH.json","view_paper":"https://pith.science/paper/3VFWBYQW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9803279&json=true","fetch_graph":"https://pith.science/api/pith-number/3VFWBYQW55F3C6DTLBDS2EIAWH/graph.json","fetch_events":"https://pith.science/api/pith-number/3VFWBYQW55F3C6DTLBDS2EIAWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH/action/storage_attestation","attest_author":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH/action/author_attestation","sign_citation":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH/action/citation_signature","submit_replication":"https://pith.science/pith/3VFWBYQW55F3C6DTLBDS2EIAWH/action/replication_record"}},"created_at":"2026-05-18T04:11:18.794244+00:00","updated_at":"2026-05-18T04:11:18.794244+00:00"}