{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GR2HWCXJHINBEN2XT7MXVQAPT4","short_pith_number":"pith:GR2HWCXJ","canonical_record":{"source":{"id":"1410.0086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-10-01T01:42:38Z","cross_cats_sorted":[],"title_canon_sha256":"ca66c14877340263248c62e41e9ecdb9a30f57dd44cf5df8c314e69d6bd95779","abstract_canon_sha256":"07fddbeecd5c690e0879014d30e021f9a106103709b02c8ca73ac8527857ecd3"},"schema_version":"1.0"},"canonical_sha256":"34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3","source":{"kind":"arxiv","id":"1410.0086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0086","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0086v1","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0086","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"GR2HWCXJHINB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GR2HWCXJHINBEN2X","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GR2HWCXJ","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GR2HWCXJHINBEN2XT7MXVQAPT4","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-10-01T01:42:38Z","cross_cats_sorted":[],"title_canon_sha256":"ca66c14877340263248c62e41e9ecdb9a30f57dd44cf5df8c314e69d6bd95779","abstract_canon_sha256":"07fddbeecd5c690e0879014d30e021f9a106103709b02c8ca73ac8527857ecd3"},"schema_version":"1.0"},"canonical_sha256":"34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:18.066406Z","signature_b64":"PuB5vi94lqcNsEEjHp6lxwnRiFEnsyyyuuXvFcJ8duhqqEgCfw8fFK3mZLaqXev6bpHH71OUQj6rDbFN/J1cBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3","last_reissued_at":"2026-05-18T02:41:18.065913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:18.065913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0086","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":"2026-05-18T02:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IRUrib79cIebC85ThNCaCP/k1gBZkW4V11wIe0OVDDgQ0uptKdjPu8d2e76i1tBNNHqY71vOq0TOQPGQubfFDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:36:11.131070Z"},"content_sha256":"9726b4176aa10c429fc864f66c40e2596faad8f3cfc221bf6457892e735b8c2b","schema_version":"1.0","event_id":"sha256:9726b4176aa10c429fc864f66c40e2596faad8f3cfc221bf6457892e735b8c2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GR2HWCXJHINBEN2XT7MXVQAPT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CR rigidity of pseudo harmonic maps and pseudo biharmonic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Hajime Urakawa","submitted_at":"2014-10-01T01:42:38Z","abstract_excerpt":"The CR analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with parallel pseudo mean curvature vector fields, will be characterized. Several examples of pseudo biharmonic maps will be given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0086","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":"2026-05-18T02:41:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLoxXm8VcTVIssl6ikjepeZyJNvCHa5Nhew8/lsojtoMVr5Q97cx9pY3OdXksjCKoYn46A3xpY2S171jflgsBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:36:11.131430Z"},"content_sha256":"effd7ca3f57c6c809e3bf912781a196ee2466fcb7411b67d6e2b6cb0c9e7e344","schema_version":"1.0","event_id":"sha256:effd7ca3f57c6c809e3bf912781a196ee2466fcb7411b67d6e2b6cb0c9e7e344"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/bundle.json","state_url":"https://pith.science/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/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":"2026-06-03T22:36:11Z","links":{"resolver":"https://pith.science/pith/GR2HWCXJHINBEN2XT7MXVQAPT4","bundle":"https://pith.science/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/bundle.json","state":"https://pith.science/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GR2HWCXJHINBEN2XT7MXVQAPT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GR2HWCXJHINBEN2XT7MXVQAPT4","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":"07fddbeecd5c690e0879014d30e021f9a106103709b02c8ca73ac8527857ecd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-10-01T01:42:38Z","title_canon_sha256":"ca66c14877340263248c62e41e9ecdb9a30f57dd44cf5df8c314e69d6bd95779"},"schema_version":"1.0","source":{"id":"1410.0086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0086","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0086v1","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0086","created_at":"2026-05-18T02:41:18Z"},{"alias_kind":"pith_short_12","alias_value":"GR2HWCXJHINB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GR2HWCXJHINBEN2X","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GR2HWCXJ","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:effd7ca3f57c6c809e3bf912781a196ee2466fcb7411b67d6e2b6cb0c9e7e344","target":"graph","created_at":"2026-05-18T02:41:18Z","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 CR analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with parallel pseudo mean curvature vector fields, will be characterized. Several examples of pseudo biharmonic maps will be given.","authors_text":"Hajime Urakawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-10-01T01:42:38Z","title":"CR rigidity of pseudo harmonic maps and pseudo biharmonic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0086","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":"sha256:9726b4176aa10c429fc864f66c40e2596faad8f3cfc221bf6457892e735b8c2b","target":"record","created_at":"2026-05-18T02:41:18Z","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":"07fddbeecd5c690e0879014d30e021f9a106103709b02c8ca73ac8527857ecd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-10-01T01:42:38Z","title_canon_sha256":"ca66c14877340263248c62e41e9ecdb9a30f57dd44cf5df8c314e69d6bd95779"},"schema_version":"1.0","source":{"id":"1410.0086","kind":"arxiv","version":1}},"canonical_sha256":"34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34747b0ae93a1a1237579fd97ac00f9f051d487a7fda8817d404d58ed02217b3","first_computed_at":"2026-05-18T02:41:18.065913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:18.065913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PuB5vi94lqcNsEEjHp6lxwnRiFEnsyyyuuXvFcJ8duhqqEgCfw8fFK3mZLaqXev6bpHH71OUQj6rDbFN/J1cBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:18.066406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9726b4176aa10c429fc864f66c40e2596faad8f3cfc221bf6457892e735b8c2b","sha256:effd7ca3f57c6c809e3bf912781a196ee2466fcb7411b67d6e2b6cb0c9e7e344"],"state_sha256":"05795d83986769a9312447c9cd533b5cdb3c95b5d2c9bff657200657e8f60395"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBI2CYhaqSWxdmlYSyLwulLh9YhWYE+E79FrDtIjDFuzHuFyL5rt9HDDXprOpcj+g97+Y/FtSWcT9yh6MeSgCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:36:11.133532Z","bundle_sha256":"2eb81cb1d39cb334b0f4c158d09f08aa8514411617393c57566f673b03a45ff0"}}