{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7GOH366CMR6MWRZOJPYJNQRNXU","short_pith_number":"pith:7GOH366C","canonical_record":{"source":{"id":"1408.3747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-16T16:58:17Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"32473c45f10d18dfd242ff96bb5b853d60121ae69632ce3a903a3713f210b46f","abstract_canon_sha256":"9dd625309e4a7189bb02fe6f0af2d4807338cc9bc32d34f70e7065666fa7c20f"},"schema_version":"1.0"},"canonical_sha256":"f99c7dfbc2647ccb472e4bf096c22dbd3b6ba44c959bd09f5b7a1e60acc86152","source":{"kind":"arxiv","id":"1408.3747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3747","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3747v1","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3747","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"pith_short_12","alias_value":"7GOH366CMR6M","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7GOH366CMR6MWRZO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7GOH366C","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7GOH366CMR6MWRZOJPYJNQRNXU","target":"record","payload":{"canonical_record":{"source":{"id":"1408.3747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-16T16:58:17Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"32473c45f10d18dfd242ff96bb5b853d60121ae69632ce3a903a3713f210b46f","abstract_canon_sha256":"9dd625309e4a7189bb02fe6f0af2d4807338cc9bc32d34f70e7065666fa7c20f"},"schema_version":"1.0"},"canonical_sha256":"f99c7dfbc2647ccb472e4bf096c22dbd3b6ba44c959bd09f5b7a1e60acc86152","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:03.437806Z","signature_b64":"iw/5b7Nvo4nq5q6+LWw8wrtivJoZ4ZyzTCnctHYlSMSvpQ2WKKRHA81NUcw4OzBWRARVEQ06FPO+dH5siBYVDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f99c7dfbc2647ccb472e4bf096c22dbd3b6ba44c959bd09f5b7a1e60acc86152","last_reissued_at":"2026-05-18T02:45:03.437232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:03.437232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.3747","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mopolM9ksJ+jlJWFV1UTWPjamfTofp51QfIVHnE8MOhfVzoBI2TplotquI60lnQvwGuF1MZ5gIThDaojF0L6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:13:23.983595Z"},"content_sha256":"7178a6e1fae3a9308556e9e7f07949410f8281f9af26f89b022bfe56a93a9a5f","schema_version":"1.0","event_id":"sha256:7178a6e1fae3a9308556e9e7f07949410f8281f9af26f89b022bfe56a93a9a5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7GOH366CMR6MWRZOJPYJNQRNXU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.DG","authors_text":"J. Jeronimo-Castro, S. Tabachnikov","submitted_at":"2014-08-16T16:58:17Z","abstract_excerpt":"The equitangent locus of a convex plane curve consists of the points from which the two tangent segments to the curve have equal length. The equitangent problem concerns the relation between the curve and its equitangent locus. An equitangent n-gon of a convex curve is a circumscribed n-gon whose vertices belong to the equitangent locus. We are interested in curves that admit 1-parameter families of equitangent n-gons. We use methods of sub-Riemannian geometry: we define a distribution on the space of polygons and study its bracket generating properties. 1-parameter families of equitangent pol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3747","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:45:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vx0Si3v56020GKsaqnQG/RQ8T2BGgBft76kCileVPTTms+Hq+bVck1zE/s+s14X6AsdQUv7pyi94ybrGOK3fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:13:23.983935Z"},"content_sha256":"38b256b2baaedfbb4569691d0465829012767494fbcd69ba77a2ed60ed50f7b9","schema_version":"1.0","event_id":"sha256:38b256b2baaedfbb4569691d0465829012767494fbcd69ba77a2ed60ed50f7b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GOH366CMR6MWRZOJPYJNQRNXU/bundle.json","state_url":"https://pith.science/pith/7GOH366CMR6MWRZOJPYJNQRNXU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GOH366CMR6MWRZOJPYJNQRNXU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T06:13:23Z","links":{"resolver":"https://pith.science/pith/7GOH366CMR6MWRZOJPYJNQRNXU","bundle":"https://pith.science/pith/7GOH366CMR6MWRZOJPYJNQRNXU/bundle.json","state":"https://pith.science/pith/7GOH366CMR6MWRZOJPYJNQRNXU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GOH366CMR6MWRZOJPYJNQRNXU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7GOH366CMR6MWRZOJPYJNQRNXU","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":"9dd625309e4a7189bb02fe6f0af2d4807338cc9bc32d34f70e7065666fa7c20f","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-16T16:58:17Z","title_canon_sha256":"32473c45f10d18dfd242ff96bb5b853d60121ae69632ce3a903a3713f210b46f"},"schema_version":"1.0","source":{"id":"1408.3747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3747","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3747v1","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3747","created_at":"2026-05-18T02:45:03Z"},{"alias_kind":"pith_short_12","alias_value":"7GOH366CMR6M","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7GOH366CMR6MWRZO","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7GOH366C","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:38b256b2baaedfbb4569691d0465829012767494fbcd69ba77a2ed60ed50f7b9","target":"graph","created_at":"2026-05-18T02:45:03Z","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":"The equitangent locus of a convex plane curve consists of the points from which the two tangent segments to the curve have equal length. The equitangent problem concerns the relation between the curve and its equitangent locus. An equitangent n-gon of a convex curve is a circumscribed n-gon whose vertices belong to the equitangent locus. We are interested in curves that admit 1-parameter families of equitangent n-gons. We use methods of sub-Riemannian geometry: we define a distribution on the space of polygons and study its bracket generating properties. 1-parameter families of equitangent pol","authors_text":"J. Jeronimo-Castro, S. Tabachnikov","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-16T16:58:17Z","title":"Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3747","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":"sha256:7178a6e1fae3a9308556e9e7f07949410f8281f9af26f89b022bfe56a93a9a5f","target":"record","created_at":"2026-05-18T02:45:03Z","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":"9dd625309e4a7189bb02fe6f0af2d4807338cc9bc32d34f70e7065666fa7c20f","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-16T16:58:17Z","title_canon_sha256":"32473c45f10d18dfd242ff96bb5b853d60121ae69632ce3a903a3713f210b46f"},"schema_version":"1.0","source":{"id":"1408.3747","kind":"arxiv","version":1}},"canonical_sha256":"f99c7dfbc2647ccb472e4bf096c22dbd3b6ba44c959bd09f5b7a1e60acc86152","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f99c7dfbc2647ccb472e4bf096c22dbd3b6ba44c959bd09f5b7a1e60acc86152","first_computed_at":"2026-05-18T02:45:03.437232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:03.437232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iw/5b7Nvo4nq5q6+LWw8wrtivJoZ4ZyzTCnctHYlSMSvpQ2WKKRHA81NUcw4OzBWRARVEQ06FPO+dH5siBYVDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:03.437806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.3747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7178a6e1fae3a9308556e9e7f07949410f8281f9af26f89b022bfe56a93a9a5f","sha256:38b256b2baaedfbb4569691d0465829012767494fbcd69ba77a2ed60ed50f7b9"],"state_sha256":"00bfaa13e3ab09c664bcae594e841de6195ac2de2cef36c37a7c5174df3438e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ows2Aj7/b1BUKWlsUXhqMyAW5X5dLWUUxTWS3eXetzkqwUojPVmFZM5E9duOAE/E4ikhmjvk8ltR16JXaesTAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T06:13:23.985803Z","bundle_sha256":"2238a26c60f847dc93b0381181cd47e3c8640c0e6c046c7cbd014872a9daa9ff"}}