{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CICZVGGOBAWPN2RN3BKQZWKMXV","short_pith_number":"pith:CICZVGGO","canonical_record":{"source":{"id":"1601.07210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-26T22:27:36Z","cross_cats_sorted":[],"title_canon_sha256":"3dc52b6b152bae35e6433429ea2a436c8b4a17b43021efb6c5dd439c27ea63d0","abstract_canon_sha256":"c7b3542d98fb069c90e4dbd4526aaff1aa4c70f2e95c0b98879b50cd0c7f1c59"},"schema_version":"1.0"},"canonical_sha256":"12059a98ce082cf6ea2dd8550cd94cbd4e865019a3541579fd1b6f2babf77b18","source":{"kind":"arxiv","id":"1601.07210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07210","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07210v1","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07210","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"CICZVGGOBAWP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CICZVGGOBAWPN2RN","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CICZVGGO","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CICZVGGOBAWPN2RN3BKQZWKMXV","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-26T22:27:36Z","cross_cats_sorted":[],"title_canon_sha256":"3dc52b6b152bae35e6433429ea2a436c8b4a17b43021efb6c5dd439c27ea63d0","abstract_canon_sha256":"c7b3542d98fb069c90e4dbd4526aaff1aa4c70f2e95c0b98879b50cd0c7f1c59"},"schema_version":"1.0"},"canonical_sha256":"12059a98ce082cf6ea2dd8550cd94cbd4e865019a3541579fd1b6f2babf77b18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:46.523218Z","signature_b64":"EldmM+nzJTHVNcl/9dbDIcpansGBesmKZi9e0C+O3S/NtDMEOLFgqtc6/mOpyNT3sEc2iwt+2Y++2WNURcrVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12059a98ce082cf6ea2dd8550cd94cbd4e865019a3541579fd1b6f2babf77b18","last_reissued_at":"2026-05-18T01:21:46.522515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:46.522515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07210","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":"2026-05-18T01:21:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d2xGy7wj0gizZcy3hOQU/Cqql02SQnjPWIyebc2igmzdEHX2YB5hWCqnqkn1OgFBPI9gnwDTGRqyqXftBhptCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:44:55.298577Z"},"content_sha256":"56b33b15f34c8a43e04b08f4a9a4a92ae403875356a58adf291d4e62ee5781f3","schema_version":"1.0","event_id":"sha256:56b33b15f34c8a43e04b08f4a9a4a92ae403875356a58adf291d4e62ee5781f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CICZVGGOBAWPN2RN3BKQZWKMXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dmitriy Drusvyatskiy, Giorgio Ottaviani, Hon-leung Lee, Rekha R. Thomas","submitted_at":"2016-01-26T22:27:36Z","abstract_excerpt":"We show that the Euclidean distance degree of a real orthogonally invariant matrix variety equals the Euclidean distance degree of its restriction to diagonal matrices. We illustrate how this result can greatly simplify calculations in concrete circumstances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07210","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":"2026-05-18T01:21:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MARqIWlIIxDgaN/749dKPINMTppHM2WnZjK9a/aOqbhLUbBJTMCBVmrJfaMRkRkyn0d0RQyQ4ChuGJ7GVwdCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:44:55.298921Z"},"content_sha256":"ea9a1a739fed270edd2c1060aea66fd4c2f7de05455cca479134c5d50496a307","schema_version":"1.0","event_id":"sha256:ea9a1a739fed270edd2c1060aea66fd4c2f7de05455cca479134c5d50496a307"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/bundle.json","state_url":"https://pith.science/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/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":"2026-05-30T02:44:55Z","links":{"resolver":"https://pith.science/pith/CICZVGGOBAWPN2RN3BKQZWKMXV","bundle":"https://pith.science/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/bundle.json","state":"https://pith.science/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CICZVGGOBAWPN2RN3BKQZWKMXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CICZVGGOBAWPN2RN3BKQZWKMXV","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":"c7b3542d98fb069c90e4dbd4526aaff1aa4c70f2e95c0b98879b50cd0c7f1c59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-26T22:27:36Z","title_canon_sha256":"3dc52b6b152bae35e6433429ea2a436c8b4a17b43021efb6c5dd439c27ea63d0"},"schema_version":"1.0","source":{"id":"1601.07210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07210","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07210v1","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07210","created_at":"2026-05-18T01:21:46Z"},{"alias_kind":"pith_short_12","alias_value":"CICZVGGOBAWP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CICZVGGOBAWPN2RN","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CICZVGGO","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:ea9a1a739fed270edd2c1060aea66fd4c2f7de05455cca479134c5d50496a307","target":"graph","created_at":"2026-05-18T01:21:46Z","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 show that the Euclidean distance degree of a real orthogonally invariant matrix variety equals the Euclidean distance degree of its restriction to diagonal matrices. We illustrate how this result can greatly simplify calculations in concrete circumstances.","authors_text":"Dmitriy Drusvyatskiy, Giorgio Ottaviani, Hon-leung Lee, Rekha R. Thomas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-26T22:27:36Z","title":"The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07210","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":"sha256:56b33b15f34c8a43e04b08f4a9a4a92ae403875356a58adf291d4e62ee5781f3","target":"record","created_at":"2026-05-18T01:21:46Z","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":"c7b3542d98fb069c90e4dbd4526aaff1aa4c70f2e95c0b98879b50cd0c7f1c59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-01-26T22:27:36Z","title_canon_sha256":"3dc52b6b152bae35e6433429ea2a436c8b4a17b43021efb6c5dd439c27ea63d0"},"schema_version":"1.0","source":{"id":"1601.07210","kind":"arxiv","version":1}},"canonical_sha256":"12059a98ce082cf6ea2dd8550cd94cbd4e865019a3541579fd1b6f2babf77b18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12059a98ce082cf6ea2dd8550cd94cbd4e865019a3541579fd1b6f2babf77b18","first_computed_at":"2026-05-18T01:21:46.522515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:46.522515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EldmM+nzJTHVNcl/9dbDIcpansGBesmKZi9e0C+O3S/NtDMEOLFgqtc6/mOpyNT3sEc2iwt+2Y++2WNURcrVAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:46.523218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56b33b15f34c8a43e04b08f4a9a4a92ae403875356a58adf291d4e62ee5781f3","sha256:ea9a1a739fed270edd2c1060aea66fd4c2f7de05455cca479134c5d50496a307"],"state_sha256":"6eff5923ec90f50931cc01476e51facee1dccf5515b310995c63d96380e41b66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCOzR9xp+ExDiPfO7X/pXuegwI1HIYDt39h8igj6zzXwu8S38iVBnqvhz4bPc4Jml71OPKmCfQyJCSg+TJk3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:44:55.300867Z","bundle_sha256":"57ad2d2935a73d5db6c6a4ac7475ddc8df5d37df85e0a39ef6181d385748d387"}}