{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5KPC7UXIXPMRJZ7JWOVEWXVPPE","short_pith_number":"pith:5KPC7UXI","schema_version":"1.0","canonical_sha256":"ea9e2fd2e8bbd914e7e9b3aa4b5eaf792bf635b6ece6fbfffb1c6c8613e3db0a","source":{"kind":"arxiv","id":"1111.2389","version":2},"attestation_state":"computed","paper":{"title":"Winding Number in String Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hiroyuki Hata, Toshiko Kojita","submitted_at":"2011-11-10T04:22:30Z","abstract_excerpt":"Motivated by the similarity between cubic string field theory (CSFT) and the Chern-Simons theory in three dimensions, we study the possibility of interpreting N=(\\pi^2/3)\\int(U Q_B U^{-1})^3 as a kind of winding number in CSFT taking quantized values. In particular, we focus on the expression of N as the integration of a BRST-exact quantity, N=\\int Q_B A, which vanishes identically in naive treatments. For realizing non-trivial N, we need a regularization for divergences from the zero eigenvalue of the operator K in the KBc algebra. This regularization must at same time violate the BRST-exactn"},"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":"1111.2389","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-11-10T04:22:30Z","cross_cats_sorted":[],"title_canon_sha256":"de102e41d82484292a913742073d2ef9cffa146027242b8d50992e474da06830","abstract_canon_sha256":"88cd086ece32e69b45d738089ae4fb0898fdee832079ebb105509b6b4d361a27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:42.823639Z","signature_b64":"21VnAwS4oCWxw4byw2dEowM9wzPZmnGAmEfY9Dyj5nuzUCOxioca4lType9itFj8BLSqpYVzRMzkVw/GZ0OpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea9e2fd2e8bbd914e7e9b3aa4b5eaf792bf635b6ece6fbfffb1c6c8613e3db0a","last_reissued_at":"2026-05-18T01:59:42.822902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:42.822902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Winding Number in String Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hiroyuki Hata, Toshiko Kojita","submitted_at":"2011-11-10T04:22:30Z","abstract_excerpt":"Motivated by the similarity between cubic string field theory (CSFT) and the Chern-Simons theory in three dimensions, we study the possibility of interpreting N=(\\pi^2/3)\\int(U Q_B U^{-1})^3 as a kind of winding number in CSFT taking quantized values. In particular, we focus on the expression of N as the integration of a BRST-exact quantity, N=\\int Q_B A, which vanishes identically in naive treatments. For realizing non-trivial N, we need a regularization for divergences from the zero eigenvalue of the operator K in the KBc algebra. This regularization must at same time violate the BRST-exactn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2389","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":"1111.2389","created_at":"2026-05-18T01:59:42.823007+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2389v2","created_at":"2026-05-18T01:59:42.823007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2389","created_at":"2026-05-18T01:59:42.823007+00:00"},{"alias_kind":"pith_short_12","alias_value":"5KPC7UXIXPMR","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"5KPC7UXIXPMRJZ7J","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"5KPC7UXI","created_at":"2026-05-18T12:26:20.644004+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/5KPC7UXIXPMRJZ7JWOVEWXVPPE","json":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE.json","graph_json":"https://pith.science/api/pith-number/5KPC7UXIXPMRJZ7JWOVEWXVPPE/graph.json","events_json":"https://pith.science/api/pith-number/5KPC7UXIXPMRJZ7JWOVEWXVPPE/events.json","paper":"https://pith.science/paper/5KPC7UXI"},"agent_actions":{"view_html":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE","download_json":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE.json","view_paper":"https://pith.science/paper/5KPC7UXI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2389&json=true","fetch_graph":"https://pith.science/api/pith-number/5KPC7UXIXPMRJZ7JWOVEWXVPPE/graph.json","fetch_events":"https://pith.science/api/pith-number/5KPC7UXIXPMRJZ7JWOVEWXVPPE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE/action/storage_attestation","attest_author":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE/action/author_attestation","sign_citation":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE/action/citation_signature","submit_replication":"https://pith.science/pith/5KPC7UXIXPMRJZ7JWOVEWXVPPE/action/replication_record"}},"created_at":"2026-05-18T01:59:42.823007+00:00","updated_at":"2026-05-18T01:59:42.823007+00:00"}