{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:IL7SI475RRD4P2RPB7SY3FPTHV","short_pith_number":"pith:IL7SI475","canonical_record":{"source":{"id":"0906.1692","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-06-09T11:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"306ac45300f7f8883250c7e18b79655826746085875ed038293ddc94997c1bfb","abstract_canon_sha256":"1a10ddeb872a1b1ea13dbd4f229633b877cb62e245d3ec555549cc24704a81e7"},"schema_version":"1.0"},"canonical_sha256":"42ff2473fd8c47c7ea2f0fe58d95f33d6a3d78986604b8d63fb56eeac50d4332","source":{"kind":"arxiv","id":"0906.1692","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1692","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1692v2","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1692","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"IL7SI475RRD4","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IL7SI475RRD4P2RP","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IL7SI475","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:IL7SI475RRD4P2RPB7SY3FPTHV","target":"record","payload":{"canonical_record":{"source":{"id":"0906.1692","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-06-09T11:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"306ac45300f7f8883250c7e18b79655826746085875ed038293ddc94997c1bfb","abstract_canon_sha256":"1a10ddeb872a1b1ea13dbd4f229633b877cb62e245d3ec555549cc24704a81e7"},"schema_version":"1.0"},"canonical_sha256":"42ff2473fd8c47c7ea2f0fe58d95f33d6a3d78986604b8d63fb56eeac50d4332","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:17.888094Z","signature_b64":"jIE4XbpUjUntuH8WwsWjlp2O9yip1kt+gYGZHYCjoWpAc+dyifCvagGXqZ/KnLZP1YBtJrwYCoWAStQCVGEMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42ff2473fd8c47c7ea2f0fe58d95f33d6a3d78986604b8d63fb56eeac50d4332","last_reissued_at":"2026-05-18T04:06:17.887360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:17.887360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.1692","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N8kNAMEDe3wyLKS7I8oSj1bn/U/NQVaEwarhGIm4Ux4+q9eMoMYfO/ZxFT8EFtY/IsSVjxBwKA/YaE4NI4kuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:31:55.325294Z"},"content_sha256":"520078e3fb607f418a0b7c60c64f3be7a9acd26f7861323747eb56a21d27d204","schema_version":"1.0","event_id":"sha256:520078e3fb607f418a0b7c60c64f3be7a9acd26f7861323747eb56a21d27d204"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:IL7SI475RRD4P2RPB7SY3FPTHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isothermic submanifolds of symmetric $R$-spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"F.E. Burstall, F. Pedit, N.M. Donaldson, U. Pinkall","submitted_at":"2009-06-09T11:08:31Z","abstract_excerpt":"We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric $R$-spaces with essentially no loss of integrable structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1692","kind":"arxiv","version":2},"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":"2026-05-18T04:06:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gqt896l0bjEYZzag/xYwMuhnFSyZzOiDSKrPtwr4QfhRcPK1DR8EwoQPY/4EvFjCqt3rbiuHyVmZwVOCACVhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:31:55.325658Z"},"content_sha256":"041bc611e0bd2e3e3014823c4381307c7d32106e98d672cd15a3af4250321bbd","schema_version":"1.0","event_id":"sha256:041bc611e0bd2e3e3014823c4381307c7d32106e98d672cd15a3af4250321bbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IL7SI475RRD4P2RPB7SY3FPTHV/bundle.json","state_url":"https://pith.science/pith/IL7SI475RRD4P2RPB7SY3FPTHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IL7SI475RRD4P2RPB7SY3FPTHV/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":"2026-06-30T04:31:55Z","links":{"resolver":"https://pith.science/pith/IL7SI475RRD4P2RPB7SY3FPTHV","bundle":"https://pith.science/pith/IL7SI475RRD4P2RPB7SY3FPTHV/bundle.json","state":"https://pith.science/pith/IL7SI475RRD4P2RPB7SY3FPTHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IL7SI475RRD4P2RPB7SY3FPTHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:IL7SI475RRD4P2RPB7SY3FPTHV","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":"1a10ddeb872a1b1ea13dbd4f229633b877cb62e245d3ec555549cc24704a81e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-06-09T11:08:31Z","title_canon_sha256":"306ac45300f7f8883250c7e18b79655826746085875ed038293ddc94997c1bfb"},"schema_version":"1.0","source":{"id":"0906.1692","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1692","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1692v2","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1692","created_at":"2026-05-18T04:06:17Z"},{"alias_kind":"pith_short_12","alias_value":"IL7SI475RRD4","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"IL7SI475RRD4P2RP","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"IL7SI475","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:041bc611e0bd2e3e3014823c4381307c7d32106e98d672cd15a3af4250321bbd","target":"graph","created_at":"2026-05-18T04:06:17Z","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 extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric $R$-spaces with essentially no loss of integrable structure.","authors_text":"F.E. Burstall, F. Pedit, N.M. Donaldson, U. Pinkall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-06-09T11:08:31Z","title":"Isothermic submanifolds of symmetric $R$-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1692","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":"sha256:520078e3fb607f418a0b7c60c64f3be7a9acd26f7861323747eb56a21d27d204","target":"record","created_at":"2026-05-18T04:06:17Z","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":"1a10ddeb872a1b1ea13dbd4f229633b877cb62e245d3ec555549cc24704a81e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-06-09T11:08:31Z","title_canon_sha256":"306ac45300f7f8883250c7e18b79655826746085875ed038293ddc94997c1bfb"},"schema_version":"1.0","source":{"id":"0906.1692","kind":"arxiv","version":2}},"canonical_sha256":"42ff2473fd8c47c7ea2f0fe58d95f33d6a3d78986604b8d63fb56eeac50d4332","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42ff2473fd8c47c7ea2f0fe58d95f33d6a3d78986604b8d63fb56eeac50d4332","first_computed_at":"2026-05-18T04:06:17.887360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:06:17.887360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jIE4XbpUjUntuH8WwsWjlp2O9yip1kt+gYGZHYCjoWpAc+dyifCvagGXqZ/KnLZP1YBtJrwYCoWAStQCVGEMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:06:17.888094Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.1692","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:520078e3fb607f418a0b7c60c64f3be7a9acd26f7861323747eb56a21d27d204","sha256:041bc611e0bd2e3e3014823c4381307c7d32106e98d672cd15a3af4250321bbd"],"state_sha256":"717c98e75198b7b835061350dfe114ca4212ffc808ef571b38489dbb42dbadd8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BZMj8P5mz4mW7THQO1H2pLnnr2Hh/yJlR1oz701dRZdEhPEAaJ9b7TCudaHIgimLb4ryptn+UDHcLuh3LQunDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T04:31:55.327699Z","bundle_sha256":"db6d7b04b42c761e81059c9fae424e3f30340ae77deb61169202252d2b38ee79"}}