{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:N7GEYSTJFGCY2SVPVUIGLV4IOT","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":"9bce15d0f7128a80d753a197b3ba57da2680a335242d236025966f947452afc6","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-22T06:46:45Z","title_canon_sha256":"d3fa38b1235e8b3fa2a83471371a70bb3439c050d4010d19d52e98ed42281538"},"schema_version":"1.0","source":{"id":"1702.06688","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06688","created_at":"2026-05-18T00:47:03Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06688v1","created_at":"2026-05-18T00:47:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06688","created_at":"2026-05-18T00:47:03Z"},{"alias_kind":"pith_short_12","alias_value":"N7GEYSTJFGCY","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"N7GEYSTJFGCY2SVP","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"N7GEYSTJ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:a6fd6a40d899a22ab40b8fb040a97420a0857e1e6101c05007e092b43ef3c31d","target":"graph","created_at":"2026-05-18T00:47:03Z","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 study two-dimensional Finsler metrics of constant flag curvature and show that such Finsler metrics that admit a Killing field can be written in a normal form that depends on two arbitrary functions of one variable. Furthermore, we find an approach to calculate these functions for spherically symmetric Finsler surfaces of constant flag curvature. In particular, we obtain the normal form of the Funk metric on the unit disk D^2.","authors_text":"L. Huang, R. L. Bryant, X. Mo","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-22T06:46:45Z","title":"On Finsler surfaces of constant flag curvature with a Killing field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06688","kind":"arxiv","version":1},"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":"sha256:7b264051cf683bc8bf0dbe040507d5c8b4ba7b3f8f916fce7d0bb702dc0022dd","target":"record","created_at":"2026-05-18T00:47:03Z","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":"9bce15d0f7128a80d753a197b3ba57da2680a335242d236025966f947452afc6","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-22T06:46:45Z","title_canon_sha256":"d3fa38b1235e8b3fa2a83471371a70bb3439c050d4010d19d52e98ed42281538"},"schema_version":"1.0","source":{"id":"1702.06688","kind":"arxiv","version":1}},"canonical_sha256":"6fcc4c4a6929858d4aafad1065d78874d4e45e89883530f7d3e9edb89c31fa26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fcc4c4a6929858d4aafad1065d78874d4e45e89883530f7d3e9edb89c31fa26","first_computed_at":"2026-05-18T00:47:03.221310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:03.221310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6erZX3zedaeSImrtiDqlRl9UhPflapIHGXQxK+wHLZCXT3Ud+8qZ7Nac8I5596bCs4IzV1GbN7oMp7kZ+uWLBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:03.221786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06688","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b264051cf683bc8bf0dbe040507d5c8b4ba7b3f8f916fce7d0bb702dc0022dd","sha256:a6fd6a40d899a22ab40b8fb040a97420a0857e1e6101c05007e092b43ef3c31d"],"state_sha256":"9765ee113b72318ebfcf253e486cc24a2b9d8a44a7fd7a47da362e97b66edcc2"}