{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EAFSRYSL4X7MCLSZH7WNZV2XGM","short_pith_number":"pith:EAFSRYSL","canonical_record":{"source":{"id":"1302.5402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-21T20:21:58Z","cross_cats_sorted":[],"title_canon_sha256":"a7d2b4c8cb05f572beb301ebc9e6f22983339a7dbad3ecc3f3cdaec4632fa742","abstract_canon_sha256":"92622711cc124b1915cd6d7cf15e4c4c0f5fc1a86d2a990404d1c7a88fae8aa2"},"schema_version":"1.0"},"canonical_sha256":"200b28e24be5fec12e593fecdcd757331e1ba9c43483bebedfe620997ca597d4","source":{"kind":"arxiv","id":"1302.5402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5402","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5402v1","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5402","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"pith_short_12","alias_value":"EAFSRYSL4X7M","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EAFSRYSL4X7MCLSZ","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EAFSRYSL","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EAFSRYSL4X7MCLSZH7WNZV2XGM","target":"record","payload":{"canonical_record":{"source":{"id":"1302.5402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-21T20:21:58Z","cross_cats_sorted":[],"title_canon_sha256":"a7d2b4c8cb05f572beb301ebc9e6f22983339a7dbad3ecc3f3cdaec4632fa742","abstract_canon_sha256":"92622711cc124b1915cd6d7cf15e4c4c0f5fc1a86d2a990404d1c7a88fae8aa2"},"schema_version":"1.0"},"canonical_sha256":"200b28e24be5fec12e593fecdcd757331e1ba9c43483bebedfe620997ca597d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:57.751347Z","signature_b64":"b/ZFkZA2V4gFSxITt0EEtiQfqn2OBgJdXhgh7gwAVhqFkAOCtdCzghy+wJfg35ipp34+yDb2NXq/zUYTlrhACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"200b28e24be5fec12e593fecdcd757331e1ba9c43483bebedfe620997ca597d4","last_reissued_at":"2026-05-18T03:32:57.749280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:57.749280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.5402","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":"2026-05-18T03:32:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mddLDdagXUk22T3962bMtgHRTAdjLXbaG+ZDleJkQkeuad3Mm6UCOdRrs8e/Hs8OJSeg7jigsK3/ATnmp1inDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:26:00.743178Z"},"content_sha256":"96dbba16d2b487eae695300be17430d4943f7ea67e5789c42bad5ad553abd354","schema_version":"1.0","event_id":"sha256:96dbba16d2b487eae695300be17430d4943f7ea67e5789c42bad5ad553abd354"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EAFSRYSL4X7MCLSZH7WNZV2XGM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructing isothermal curvature line coordinates on surfaces which admit them","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Eugenio Aulisa, Magdalena Toda, Zeynep Kose","submitted_at":"2013-02-21T20:21:58Z","abstract_excerpt":"Isothermic parameterizations} are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5402","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":"2026-05-18T03:32:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S+eoyCXr8Ens6Fnr9nvasIbrZz43qq0RVeNut2Ovc8DtP5vw+y3cdNs8HXR0ZVL2Wh+nTSF/SuvIHAEjnNRlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:26:00.743550Z"},"content_sha256":"70caa1ddb30994b10989a21f4ad8f176f81a7a300a1f80744e9193c7b4ea08ec","schema_version":"1.0","event_id":"sha256:70caa1ddb30994b10989a21f4ad8f176f81a7a300a1f80744e9193c7b4ea08ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/bundle.json","state_url":"https://pith.science/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/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":"2026-06-01T11:26:00Z","links":{"resolver":"https://pith.science/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM","bundle":"https://pith.science/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/bundle.json","state":"https://pith.science/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EAFSRYSL4X7MCLSZH7WNZV2XGM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EAFSRYSL4X7MCLSZH7WNZV2XGM","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":"92622711cc124b1915cd6d7cf15e4c4c0f5fc1a86d2a990404d1c7a88fae8aa2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-21T20:21:58Z","title_canon_sha256":"a7d2b4c8cb05f572beb301ebc9e6f22983339a7dbad3ecc3f3cdaec4632fa742"},"schema_version":"1.0","source":{"id":"1302.5402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5402","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5402v1","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5402","created_at":"2026-05-18T03:32:57Z"},{"alias_kind":"pith_short_12","alias_value":"EAFSRYSL4X7M","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EAFSRYSL4X7MCLSZ","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EAFSRYSL","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:70caa1ddb30994b10989a21f4ad8f176f81a7a300a1f80744e9193c7b4ea08ec","target":"graph","created_at":"2026-05-18T03:32:57Z","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":"Isothermic parameterizations} are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.","authors_text":"Eugenio Aulisa, Magdalena Toda, Zeynep Kose","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-21T20:21:58Z","title":"Constructing isothermal curvature line coordinates on surfaces which admit them"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5402","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":"sha256:96dbba16d2b487eae695300be17430d4943f7ea67e5789c42bad5ad553abd354","target":"record","created_at":"2026-05-18T03:32:57Z","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":"92622711cc124b1915cd6d7cf15e4c4c0f5fc1a86d2a990404d1c7a88fae8aa2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-21T20:21:58Z","title_canon_sha256":"a7d2b4c8cb05f572beb301ebc9e6f22983339a7dbad3ecc3f3cdaec4632fa742"},"schema_version":"1.0","source":{"id":"1302.5402","kind":"arxiv","version":1}},"canonical_sha256":"200b28e24be5fec12e593fecdcd757331e1ba9c43483bebedfe620997ca597d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"200b28e24be5fec12e593fecdcd757331e1ba9c43483bebedfe620997ca597d4","first_computed_at":"2026-05-18T03:32:57.749280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:57.749280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b/ZFkZA2V4gFSxITt0EEtiQfqn2OBgJdXhgh7gwAVhqFkAOCtdCzghy+wJfg35ipp34+yDb2NXq/zUYTlrhACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:57.751347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96dbba16d2b487eae695300be17430d4943f7ea67e5789c42bad5ad553abd354","sha256:70caa1ddb30994b10989a21f4ad8f176f81a7a300a1f80744e9193c7b4ea08ec"],"state_sha256":"e27e2ee58c03b2f958df2e8de475af14ae4c3abdad04c700bd155fcd34babc1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bhw1Rjei+REcszZkzlKwnn4BCStA69XmoVGPTAvZTrqLDbbWmsJwdyiR2N0AkJr4hvT/BSznZGBuytGjpX33Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:26:00.745657Z","bundle_sha256":"3c18983a72b7ea5968e764e69ca4d2ba6a8a21a90077c1d45a856ce1bf62a3f0"}}