{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YYFD7TJHKLL2T34ZUDXXDD2H4T","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":"4e14cac13860811fef11d67b9d16ea69589047461988aabe8509beaa8384e871","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T11:36:19Z","title_canon_sha256":"0f6280866347dbda9827956e7dd9fca1810ba92f2228618d5f7bcc25ed6d8bf5"},"schema_version":"1.0","source":{"id":"1104.4001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4001","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4001v2","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4001","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"YYFD7TJHKLL2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YYFD7TJHKLL2T34Z","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YYFD7TJH","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:fadb7d59cc1d002a06ba70edc9a7de11e246a42c9bf62097dcbf35623740b132","target":"graph","created_at":"2026-05-18T03:54:27Z","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 estimate the distance in the curve graph of a surface S of finite type using Teichmueller geodesics and assuming to be able to detect curves of distance at least three.","authors_text":"Ursula Hamenstaedt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T11:36:19Z","title":"Distance in the curve graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4001","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":"sha256:4fc00df112bbb56c9dd9edf66668c7ac7bc9363826f2ae7ba7f09ab53c35f71d","target":"record","created_at":"2026-05-18T03:54:27Z","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":"4e14cac13860811fef11d67b9d16ea69589047461988aabe8509beaa8384e871","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-04-20T11:36:19Z","title_canon_sha256":"0f6280866347dbda9827956e7dd9fca1810ba92f2228618d5f7bcc25ed6d8bf5"},"schema_version":"1.0","source":{"id":"1104.4001","kind":"arxiv","version":2}},"canonical_sha256":"c60a3fcd2752d7a9ef99a0ef718f47e4e1bcab6140879bd891fdaca6883e5d13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c60a3fcd2752d7a9ef99a0ef718f47e4e1bcab6140879bd891fdaca6883e5d13","first_computed_at":"2026-05-18T03:54:27.784596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:27.784596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EiGdtnwjxgoiiqKmYG46+pZ9h4BJZC7YgzZg83woSLIlM0wG9Z29JWzlnVNgrcXsnCKfCMzd3CiSBUSBqG3NBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:27.785068Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fc00df112bbb56c9dd9edf66668c7ac7bc9363826f2ae7ba7f09ab53c35f71d","sha256:fadb7d59cc1d002a06ba70edc9a7de11e246a42c9bf62097dcbf35623740b132"],"state_sha256":"27d38cca8b089f158e8617bf78b5575a234fd06547ef6945a9a62d886c01ebd2"}