{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:6K3UF6KUPDUEJZKIIZRSVHGQMV","short_pith_number":"pith:6K3UF6KU","canonical_record":{"source":{"id":"0712.0807","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-12-05T19:33:50Z","cross_cats_sorted":[],"title_canon_sha256":"4b62c82e1abf0e966ca672468c74bf6aef21bd3ccb1e94dc8dfb35ea6b622f5b","abstract_canon_sha256":"a83f9938be29afb611613698d36e3afb4e9fa60d50555f050a02810a00a0494b"},"schema_version":"1.0"},"canonical_sha256":"f2b742f95478e844e54846632a9cd0654c7af0767c646193562b20a8232ca447","source":{"kind":"arxiv","id":"0712.0807","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0807","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0807v1","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0807","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"6K3UF6KUPDUE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6K3UF6KUPDUEJZKI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6K3UF6KU","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:6K3UF6KUPDUEJZKIIZRSVHGQMV","target":"record","payload":{"canonical_record":{"source":{"id":"0712.0807","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2007-12-05T19:33:50Z","cross_cats_sorted":[],"title_canon_sha256":"4b62c82e1abf0e966ca672468c74bf6aef21bd3ccb1e94dc8dfb35ea6b622f5b","abstract_canon_sha256":"a83f9938be29afb611613698d36e3afb4e9fa60d50555f050a02810a00a0494b"},"schema_version":"1.0"},"canonical_sha256":"f2b742f95478e844e54846632a9cd0654c7af0767c646193562b20a8232ca447","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:44.875336Z","signature_b64":"TKkeqbN7fZCwNGAqmo9Ua8YBx2RCHlmyvvUIYdiRjPwyllTt4Tyu01SGd/x13sjRZuBRF7B8hecdW/TLGmL6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2b742f95478e844e54846632a9cd0654c7af0767c646193562b20a8232ca447","last_reissued_at":"2026-05-18T04:42:44.874842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:44.874842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.0807","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":"2026-05-18T04:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ax8lbNflaMCPzF72ky5rbKYmz5bqavlsVxF7lXUJI32r2QQyD89m7TDYNSh8FZ9H52p5hBHE0OAnjsKBx1zEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:00:58.422964Z"},"content_sha256":"6dc777335b74c2ae96da37eeae9b59308adfb70231a6c77d8c7c27790512c769","schema_version":"1.0","event_id":"sha256:6dc777335b74c2ae96da37eeae9b59308adfb70231a6c77d8c7c27790512c769"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:6K3UF6KUPDUEJZKIIZRSVHGQMV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal deformation of spacelike surfaces in Minkowski space","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Emilio Musso, Lorenzo Nicolodi","submitted_at":"2007-12-05T19:33:50Z","abstract_excerpt":"We address the problem of second order conformal deformation of spacelike surfaces in compactified Minkowski 4-space. We explain the construction of the exterior differential system of conformal deformations and discuss its general and singular solutions. In particular, we show that isothermic surfaces are singular solutions of the system, which implies that a generic second order deformable surface is not isothermic. This differs from the situation in 3-dimensional conformal geometry, where isothermic surfaces coincide with deformable surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0807","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":"2026-05-18T04:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W2dpUWS7J/wOn+bWyRIoF1j+mi8afc+gFKUcQcAuK2HIct/3hnGFc3luKdH1la5kFfF0AZ3DH5ICyVcI9BTyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:00:58.423306Z"},"content_sha256":"4a1277cb866d377f01665ea93a6853fbce2eeb5e2014f15938441d606084fa86","schema_version":"1.0","event_id":"sha256:4a1277cb866d377f01665ea93a6853fbce2eeb5e2014f15938441d606084fa86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/bundle.json","state_url":"https://pith.science/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/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":"2026-06-03T23:00:58Z","links":{"resolver":"https://pith.science/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV","bundle":"https://pith.science/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/bundle.json","state":"https://pith.science/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6K3UF6KUPDUEJZKIIZRSVHGQMV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6K3UF6KUPDUEJZKIIZRSVHGQMV","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":"a83f9938be29afb611613698d36e3afb4e9fa60d50555f050a02810a00a0494b","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2007-12-05T19:33:50Z","title_canon_sha256":"4b62c82e1abf0e966ca672468c74bf6aef21bd3ccb1e94dc8dfb35ea6b622f5b"},"schema_version":"1.0","source":{"id":"0712.0807","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.0807","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"0712.0807v1","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.0807","created_at":"2026-05-18T04:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"6K3UF6KUPDUE","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6K3UF6KUPDUEJZKI","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6K3UF6KU","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:4a1277cb866d377f01665ea93a6853fbce2eeb5e2014f15938441d606084fa86","target":"graph","created_at":"2026-05-18T04:42:44Z","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 address the problem of second order conformal deformation of spacelike surfaces in compactified Minkowski 4-space. We explain the construction of the exterior differential system of conformal deformations and discuss its general and singular solutions. In particular, we show that isothermic surfaces are singular solutions of the system, which implies that a generic second order deformable surface is not isothermic. This differs from the situation in 3-dimensional conformal geometry, where isothermic surfaces coincide with deformable surfaces.","authors_text":"Emilio Musso, Lorenzo Nicolodi","cross_cats":[],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2007-12-05T19:33:50Z","title":"Conformal deformation of spacelike surfaces in Minkowski space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.0807","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":"sha256:6dc777335b74c2ae96da37eeae9b59308adfb70231a6c77d8c7c27790512c769","target":"record","created_at":"2026-05-18T04:42:44Z","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":"a83f9938be29afb611613698d36e3afb4e9fa60d50555f050a02810a00a0494b","cross_cats_sorted":[],"license":"","primary_cat":"math.DG","submitted_at":"2007-12-05T19:33:50Z","title_canon_sha256":"4b62c82e1abf0e966ca672468c74bf6aef21bd3ccb1e94dc8dfb35ea6b622f5b"},"schema_version":"1.0","source":{"id":"0712.0807","kind":"arxiv","version":1}},"canonical_sha256":"f2b742f95478e844e54846632a9cd0654c7af0767c646193562b20a8232ca447","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2b742f95478e844e54846632a9cd0654c7af0767c646193562b20a8232ca447","first_computed_at":"2026-05-18T04:42:44.874842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:44.874842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TKkeqbN7fZCwNGAqmo9Ua8YBx2RCHlmyvvUIYdiRjPwyllTt4Tyu01SGd/x13sjRZuBRF7B8hecdW/TLGmL6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:44.875336Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.0807","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dc777335b74c2ae96da37eeae9b59308adfb70231a6c77d8c7c27790512c769","sha256:4a1277cb866d377f01665ea93a6853fbce2eeb5e2014f15938441d606084fa86"],"state_sha256":"940b02730b7c979a765c9401fe3f9dd8a1095092e2f2989b4c1cc0ddec17823d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pV8YFQ1C335xPXGybkRiHc2vY451F7ZaJXyHXTYQLVT0ByrviLgkV6pF78s72+UGw2pN3rhb2L5O3IcA3/9Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T23:00:58.425253Z","bundle_sha256":"2fc44b52830c100616eeb27920f9d64a4c175b542788e9b559efbfdec7488477"}}