{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C2RDUMXQMBAP6IWGXQDCHVFGIC","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":"94fd07e2a12e8f4b551fe20056e506ffc569f2c2ceb4fafbd5793a259d878b2d","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-23T23:42:34Z","title_canon_sha256":"05b6f1abcbd5110bd272110d9ecc1d936b320cc9193e1cc27c0e7630a2eaba7e"},"schema_version":"1.0","source":{"id":"1306.5489","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5489","created_at":"2026-05-18T02:59:44Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5489v2","created_at":"2026-05-18T02:59:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5489","created_at":"2026-05-18T02:59:44Z"},{"alias_kind":"pith_short_12","alias_value":"C2RDUMXQMBAP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C2RDUMXQMBAP6IWG","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C2RDUMXQ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:029ae50a79b492889f1fc0dbd8949afb0f95eda38bd5b5ae50856eeebf1d0430","target":"graph","created_at":"2026-05-18T02:59:44Z","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 introduce a method for constructing J-complex discs. The method only uses the standard scheme for solving the Beltrami equation and the Schauder principle. As an application, we give a short self-contained proof of Gromov's Non-Squeezing Theorem.","authors_text":"A. Sukhov, A. Tumanov","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-23T23:42:34Z","title":"Gromov's Non-Squeezing Theorem and Beltrami type equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5489","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":"sha256:946c5c5bfe684f49683be21c831fa933f54b1f02b3b5dad540546363eaca355e","target":"record","created_at":"2026-05-18T02:59:44Z","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":"94fd07e2a12e8f4b551fe20056e506ffc569f2c2ceb4fafbd5793a259d878b2d","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-23T23:42:34Z","title_canon_sha256":"05b6f1abcbd5110bd272110d9ecc1d936b320cc9193e1cc27c0e7630a2eaba7e"},"schema_version":"1.0","source":{"id":"1306.5489","kind":"arxiv","version":2}},"canonical_sha256":"16a23a32f06040ff22c6bc0623d4a6409fcae471efdaa0987bdd5e879d42390e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a23a32f06040ff22c6bc0623d4a6409fcae471efdaa0987bdd5e879d42390e","first_computed_at":"2026-05-18T02:59:44.432855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:44.432855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qYpn8nuiwp02OOYayQPnm72dPaejJPUrBat/Vu4IwkSusqPCVZjNYL0JWMfVLiPQI36blVOyd4sz88Sn683VAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:44.433743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5489","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:946c5c5bfe684f49683be21c831fa933f54b1f02b3b5dad540546363eaca355e","sha256:029ae50a79b492889f1fc0dbd8949afb0f95eda38bd5b5ae50856eeebf1d0430"],"state_sha256":"3c70e8945568eb0349c0c5e1c5d7919b6511f486494843b3da40e4a3bc38aafd"}