{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:3A5S3SDDECTXRUALFZ7PNJVPFY","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":"19f064279f386967edce155a89b68ffac406ff3e562b73d3a78900693d33d682","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"hep-th","submitted_at":"2005-11-07T00:07:46Z","title_canon_sha256":"f447327441add732039193c9dc17511b291cc8e0bbb5b582963782ab1d4936b8"},"schema_version":"1.0","source":{"id":"hep-th/0511069","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0511069","created_at":"2026-05-18T04:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0511069v3","created_at":"2026-05-18T04:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0511069","created_at":"2026-05-18T04:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"3A5S3SDDECTX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"3A5S3SDDECTXRUAL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"3A5S3SDD","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:3ca74a444208b83d97174842f1306fa37b7dd008ee3aeccdea82517c86254e9a","target":"graph","created_at":"2026-05-18T04:34:46Z","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":"It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider the nonabelian dual of the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonlocal with one integration.","authors_text":"Andrei Mikhailov","cross_cats":["nlin.SI"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-11-07T00:07:46Z","title":"A nonlocal Poisson bracket of the sine-Gordon model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0511069","kind":"arxiv","version":3},"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:a3cd9d93e51975197ea98dba4a7041eca82b62a2518b1e7cdf3f4d21e4856794","target":"record","created_at":"2026-05-18T04:34:46Z","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":"19f064279f386967edce155a89b68ffac406ff3e562b73d3a78900693d33d682","cross_cats_sorted":["nlin.SI"],"license":"","primary_cat":"hep-th","submitted_at":"2005-11-07T00:07:46Z","title_canon_sha256":"f447327441add732039193c9dc17511b291cc8e0bbb5b582963782ab1d4936b8"},"schema_version":"1.0","source":{"id":"hep-th/0511069","kind":"arxiv","version":3}},"canonical_sha256":"d83b2dc86320a778d00b2e7ef6a6af2e1b03324463b3da4f05c9129e35a23023","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d83b2dc86320a778d00b2e7ef6a6af2e1b03324463b3da4f05c9129e35a23023","first_computed_at":"2026-05-18T04:34:46.591293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:46.591293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7nScDKaAS5k6VyJQ5Q1y9WHc2Nl1XIujTxuqI3g2SMI5KV8oe4f1ZPx6ocCjg8JB6oPgInapKSZhzFneNe7tCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:46.591754Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0511069","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3cd9d93e51975197ea98dba4a7041eca82b62a2518b1e7cdf3f4d21e4856794","sha256:3ca74a444208b83d97174842f1306fa37b7dd008ee3aeccdea82517c86254e9a"],"state_sha256":"b0826c6f7610307c58e8abe9ffd0017e54f65e4b82f541b1ce9e645d6979078e"}