{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QGKWTXFPZSP5MKZ2U2YK6KFYZA","short_pith_number":"pith:QGKWTXFP","canonical_record":{"source":{"id":"1704.07541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-25T04:57:13Z","cross_cats_sorted":[],"title_canon_sha256":"eda1a3c7a6597b8fe7dd5146d571718ef9a7e7c923f78a91d3327a8e3df1ace7","abstract_canon_sha256":"0cc9ee74baaeed47c7ab50c1c9fac14c78bc890d6013cffd0a3d661b7a8e9c0d"},"schema_version":"1.0"},"canonical_sha256":"819569dcafcc9fd62b3aa6b0af28b8c81ec9a03068336bfb329330241840cc4f","source":{"kind":"arxiv","id":"1704.07541","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07541","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07541v1","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07541","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"pith_short_12","alias_value":"QGKWTXFPZSP5","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QGKWTXFPZSP5MKZ2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QGKWTXFP","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QGKWTXFPZSP5MKZ2U2YK6KFYZA","target":"record","payload":{"canonical_record":{"source":{"id":"1704.07541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-25T04:57:13Z","cross_cats_sorted":[],"title_canon_sha256":"eda1a3c7a6597b8fe7dd5146d571718ef9a7e7c923f78a91d3327a8e3df1ace7","abstract_canon_sha256":"0cc9ee74baaeed47c7ab50c1c9fac14c78bc890d6013cffd0a3d661b7a8e9c0d"},"schema_version":"1.0"},"canonical_sha256":"819569dcafcc9fd62b3aa6b0af28b8c81ec9a03068336bfb329330241840cc4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:37.735855Z","signature_b64":"u4rRmXgUE85VkwARIXlYQ/cOFlO3CAaoa+fEtPfT+RxCR1cj0BwwE5ayCA/AXM2o6d+sPoL+5BLTP5ozYtpyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"819569dcafcc9fd62b3aa6b0af28b8c81ec9a03068336bfb329330241840cc4f","last_reissued_at":"2026-05-18T00:45:37.734592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:37.734592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.07541","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":"2026-05-18T00:45:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/MalwZS49wmFON+tzOTN65QfQqyy0KY1SmDanFmJERkJAdrWmwhV8T+MZ4Qz7ZcRFlyQq2ZK3c0baX/vKdNyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:39:58.660661Z"},"content_sha256":"6e16c0adbb9bce50d0f0eead8a4024625c559568e2637a1dd37dda22c4c70a89","schema_version":"1.0","event_id":"sha256:6e16c0adbb9bce50d0f0eead8a4024625c559568e2637a1dd37dda22c4c70a89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QGKWTXFPZSP5MKZ2U2YK6KFYZA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Biharmonic orbits of isotropy representations of symmetric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Shinji Ohno","submitted_at":"2017-04-25T04:57:13Z","abstract_excerpt":"In this paper, we give a necessarly and sufficient condition for orbits of linear isotropy representations of Riemannian symmetric spaces are biharmonic submanifolds in hyperspheres in Euclidean spaces. In particular, we obtain examples of biharmonic submanifolds in hyperspheres whose co-dimension is greater than one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07541","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":"2026-05-18T00:45:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jPycMc+fV6sCjlYkAq8ANYR7rqlg86EwoLQkTnnRc2HYluHAd6T2R82aqwX54hBCWXN8xOIHaYnvmFeVPz98Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:39:58.661002Z"},"content_sha256":"657bdc8278ac1c72e6d988f41ce5a5a6fabb2bc1723349c70bfe6c765e01c51f","schema_version":"1.0","event_id":"sha256:657bdc8278ac1c72e6d988f41ce5a5a6fabb2bc1723349c70bfe6c765e01c51f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/bundle.json","state_url":"https://pith.science/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/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":"2026-06-23T15:39:58Z","links":{"resolver":"https://pith.science/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA","bundle":"https://pith.science/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/bundle.json","state":"https://pith.science/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGKWTXFPZSP5MKZ2U2YK6KFYZA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QGKWTXFPZSP5MKZ2U2YK6KFYZA","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":"0cc9ee74baaeed47c7ab50c1c9fac14c78bc890d6013cffd0a3d661b7a8e9c0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-25T04:57:13Z","title_canon_sha256":"eda1a3c7a6597b8fe7dd5146d571718ef9a7e7c923f78a91d3327a8e3df1ace7"},"schema_version":"1.0","source":{"id":"1704.07541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.07541","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"arxiv_version","alias_value":"1704.07541v1","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.07541","created_at":"2026-05-18T00:45:37Z"},{"alias_kind":"pith_short_12","alias_value":"QGKWTXFPZSP5","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QGKWTXFPZSP5MKZ2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QGKWTXFP","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:657bdc8278ac1c72e6d988f41ce5a5a6fabb2bc1723349c70bfe6c765e01c51f","target":"graph","created_at":"2026-05-18T00:45:37Z","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":"In this paper, we give a necessarly and sufficient condition for orbits of linear isotropy representations of Riemannian symmetric spaces are biharmonic submanifolds in hyperspheres in Euclidean spaces. In particular, we obtain examples of biharmonic submanifolds in hyperspheres whose co-dimension is greater than one.","authors_text":"Shinji Ohno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-25T04:57:13Z","title":"Biharmonic orbits of isotropy representations of symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.07541","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":"sha256:6e16c0adbb9bce50d0f0eead8a4024625c559568e2637a1dd37dda22c4c70a89","target":"record","created_at":"2026-05-18T00:45:37Z","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":"0cc9ee74baaeed47c7ab50c1c9fac14c78bc890d6013cffd0a3d661b7a8e9c0d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-25T04:57:13Z","title_canon_sha256":"eda1a3c7a6597b8fe7dd5146d571718ef9a7e7c923f78a91d3327a8e3df1ace7"},"schema_version":"1.0","source":{"id":"1704.07541","kind":"arxiv","version":1}},"canonical_sha256":"819569dcafcc9fd62b3aa6b0af28b8c81ec9a03068336bfb329330241840cc4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"819569dcafcc9fd62b3aa6b0af28b8c81ec9a03068336bfb329330241840cc4f","first_computed_at":"2026-05-18T00:45:37.734592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:37.734592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u4rRmXgUE85VkwARIXlYQ/cOFlO3CAaoa+fEtPfT+RxCR1cj0BwwE5ayCA/AXM2o6d+sPoL+5BLTP5ozYtpyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:37.735855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.07541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e16c0adbb9bce50d0f0eead8a4024625c559568e2637a1dd37dda22c4c70a89","sha256:657bdc8278ac1c72e6d988f41ce5a5a6fabb2bc1723349c70bfe6c765e01c51f"],"state_sha256":"04078d0b957766b668cb6122698e7fd5913c8c0105086de33522f3acd2b35573"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xOhfUC4ny3PqOKV2Da5uwO6jd+iDumwyahN3kiSs9F+nF08BoRRYzVzSq1fu+ulAtBjFGvM7KLnbsjq37RfKDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:39:58.671848Z","bundle_sha256":"b93c8621a0db0e712c03cedabd720d30fb754e2f53dd643aa9222e322ac610bd"}}