{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:6FFN3IQACWGIZEV2PCLI3O6CHM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a83546031921df82e2ea5c366c18580a049ee6a6388ef6b790abff268169e4dc","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-12-24T17:49:55Z","title_canon_sha256":"311ebf99829a5434136dbf913e3f241797baced5d19a955f0dd6dae79188bc74"},"schema_version":"1.0","source":{"id":"hep-th/0112228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0112228","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0112228v2","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0112228","created_at":"2026-05-18T01:38:50Z"},{"alias_kind":"pith_short_12","alias_value":"6FFN3IQACWGI","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"6FFN3IQACWGIZEV2","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"6FFN3IQA","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:7ef2f1d9befdd5fc692cf1183ed837372e813c4467ed398b66e4fe9551ce6cb2","target":"graph","created_at":"2026-05-18T01:38:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background there are many string field theories corresponding to different decomposition of moduli space of Riemann surfaces. It is shown that any classical open string field theories on a fixed conformal background are $A_\\infty$-quasi-isomorphic to each other. This indicates that they have isomorphic moduli space of classical solutions. The minimal model theorem in $A_\\infty$-algebras plays a key role in these results. Its natural and geometric ","authors_text":"Hiroshige Kajiura","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-12-24T17:49:55Z","title":"Homotopy Algebra Morphism and Geometry of Classical String Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0112228","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a1d8a71911672f5ff7b97ea848a920d3d0d5c423b08086e494443cd38c83c0d9","target":"record","created_at":"2026-05-18T01:38:50Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a83546031921df82e2ea5c366c18580a049ee6a6388ef6b790abff268169e4dc","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2001-12-24T17:49:55Z","title_canon_sha256":"311ebf99829a5434136dbf913e3f241797baced5d19a955f0dd6dae79188bc74"},"schema_version":"1.0","source":{"id":"hep-th/0112228","kind":"arxiv","version":2}},"canonical_sha256":"f14adda200158c8c92ba78968dbbc23b03d5a2d733ef9f5d051df1ef81b49ae4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f14adda200158c8c92ba78968dbbc23b03d5a2d733ef9f5d051df1ef81b49ae4","first_computed_at":"2026-05-18T01:38:50.107872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:50.107872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3KkluiYDUQxwPZ1mAuvlcYaDrxKZ7yK00p+mNDe/U5fqSmZGRoPXR6t2FREqvLRthk/jhqYPz7obYmBdvYp8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:50.108558Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0112228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1d8a71911672f5ff7b97ea848a920d3d0d5c423b08086e494443cd38c83c0d9","sha256:7ef2f1d9befdd5fc692cf1183ed837372e813c4467ed398b66e4fe9551ce6cb2"],"state_sha256":"b9027324d8ea55e315a8674ed079adcd985446550ff10e4e36fe6f8255e9946d"}