{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YRRX3SNPSPSITDTHPVBUICS5KL","short_pith_number":"pith:YRRX3SNP","canonical_record":{"source":{"id":"1905.01728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-05-05T18:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"7ec98b3cd70f065894372ee9b2b9a4acfab5dc7aaa9bc927c506b182039333f0","abstract_canon_sha256":"61ff1a96b490ade653ffdf51ebd685fcb4a5eaf7052481589f9f94f3a91104eb"},"schema_version":"1.0"},"canonical_sha256":"c4637dc9af93e4898e677d43440a5d52c6b879cf231def6dfe68507748e32966","source":{"kind":"arxiv","id":"1905.01728","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01728","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01728v1","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01728","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"YRRX3SNPSPSI","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YRRX3SNPSPSITDTH","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YRRX3SNP","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YRRX3SNPSPSITDTHPVBUICS5KL","target":"record","payload":{"canonical_record":{"source":{"id":"1905.01728","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-05-05T18:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"7ec98b3cd70f065894372ee9b2b9a4acfab5dc7aaa9bc927c506b182039333f0","abstract_canon_sha256":"61ff1a96b490ade653ffdf51ebd685fcb4a5eaf7052481589f9f94f3a91104eb"},"schema_version":"1.0"},"canonical_sha256":"c4637dc9af93e4898e677d43440a5d52c6b879cf231def6dfe68507748e32966","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:57.624002Z","signature_b64":"k8LKy+S7vEIgP8i3T8WxiP3hfyS8Z2ESjEHY/B0KmABJSZyKO8Yur4AS+3cXFzldCsVjgY4pdGUA6rJ7n1lXDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4637dc9af93e4898e677d43440a5d52c6b879cf231def6dfe68507748e32966","last_reissued_at":"2026-05-17T23:46:57.623450Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:57.623450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.01728","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":"2026-05-17T23:46:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hsDq6Ig1xDn8KL+mHv5jhDHVESXXhssroH/Y+aTW3H7LViV/fN+s3na4j/f+/IcU3JUNsg9T2JY18w73jyr5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:20:44.958508Z"},"content_sha256":"07637c6472c7e6c67d0d4d1302c7e7089a0b12206272fd1b50c5a4bced02569a","schema_version":"1.0","event_id":"sha256:07637c6472c7e6c67d0d4d1302c7e7089a0b12206272fd1b50c5a4bced02569a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YRRX3SNPSPSITDTHPVBUICS5KL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness of a 3D ellipsoid with given intrinsic volumes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Alexander Tarasov, Fedor Petrov","submitted_at":"2019-05-05T18:23:08Z","abstract_excerpt":"Let $\\mathcal{E}$ be an ellipsoid in $\\mathbb{R}^n$. A. Gusakova and D. Zaporozhets conjectured that $\\mathcal{E}$ is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for $n = 3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01728","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":"2026-05-17T23:46:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hck7dyBXQtqiC3DCpuY0XmOmr0684xx1FrQrKgX/aYRDjzSICksN2g05PgHb1BjyLu0LLxrdwYvHVdxmhJtEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:20:44.958859Z"},"content_sha256":"0ef2ea25942806c1e21f481bd66fd6823c20d6e14a7597b46d6bd675204c042f","schema_version":"1.0","event_id":"sha256:0ef2ea25942806c1e21f481bd66fd6823c20d6e14a7597b46d6bd675204c042f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YRRX3SNPSPSITDTHPVBUICS5KL/bundle.json","state_url":"https://pith.science/pith/YRRX3SNPSPSITDTHPVBUICS5KL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YRRX3SNPSPSITDTHPVBUICS5KL/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":"2026-06-01T11:20:44Z","links":{"resolver":"https://pith.science/pith/YRRX3SNPSPSITDTHPVBUICS5KL","bundle":"https://pith.science/pith/YRRX3SNPSPSITDTHPVBUICS5KL/bundle.json","state":"https://pith.science/pith/YRRX3SNPSPSITDTHPVBUICS5KL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YRRX3SNPSPSITDTHPVBUICS5KL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YRRX3SNPSPSITDTHPVBUICS5KL","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":"61ff1a96b490ade653ffdf51ebd685fcb4a5eaf7052481589f9f94f3a91104eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-05-05T18:23:08Z","title_canon_sha256":"7ec98b3cd70f065894372ee9b2b9a4acfab5dc7aaa9bc927c506b182039333f0"},"schema_version":"1.0","source":{"id":"1905.01728","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01728","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01728v1","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01728","created_at":"2026-05-17T23:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"YRRX3SNPSPSI","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YRRX3SNPSPSITDTH","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YRRX3SNP","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:0ef2ea25942806c1e21f481bd66fd6823c20d6e14a7597b46d6bd675204c042f","target":"graph","created_at":"2026-05-17T23:46:57Z","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":"Let $\\mathcal{E}$ be an ellipsoid in $\\mathbb{R}^n$. A. Gusakova and D. Zaporozhets conjectured that $\\mathcal{E}$ is uniquely (up to rigid motions) determined by its intrinsic volumes. We prove this conjecture for $n = 3$.","authors_text":"Alexander Tarasov, Fedor Petrov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-05-05T18:23:08Z","title":"Uniqueness of a 3D ellipsoid with given intrinsic volumes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01728","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":"sha256:07637c6472c7e6c67d0d4d1302c7e7089a0b12206272fd1b50c5a4bced02569a","target":"record","created_at":"2026-05-17T23:46:57Z","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":"61ff1a96b490ade653ffdf51ebd685fcb4a5eaf7052481589f9f94f3a91104eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2019-05-05T18:23:08Z","title_canon_sha256":"7ec98b3cd70f065894372ee9b2b9a4acfab5dc7aaa9bc927c506b182039333f0"},"schema_version":"1.0","source":{"id":"1905.01728","kind":"arxiv","version":1}},"canonical_sha256":"c4637dc9af93e4898e677d43440a5d52c6b879cf231def6dfe68507748e32966","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4637dc9af93e4898e677d43440a5d52c6b879cf231def6dfe68507748e32966","first_computed_at":"2026-05-17T23:46:57.623450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:57.623450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8LKy+S7vEIgP8i3T8WxiP3hfyS8Z2ESjEHY/B0KmABJSZyKO8Yur4AS+3cXFzldCsVjgY4pdGUA6rJ7n1lXDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:57.624002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.01728","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07637c6472c7e6c67d0d4d1302c7e7089a0b12206272fd1b50c5a4bced02569a","sha256:0ef2ea25942806c1e21f481bd66fd6823c20d6e14a7597b46d6bd675204c042f"],"state_sha256":"7bc4f618f3824223b71f6e7012eec0a5d161327c1df502c3e85deb637886d41b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AgIxvUZkLyCJonOCtHoqSeRBnuNJlqY5kQWtAGW6eec4uN4M+JBeGKrHhERtc/xcOnLScy+YMmWNFBCrv4lzBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:20:44.961114Z","bundle_sha256":"300a738543fc59330229554c0348c99519432f8f410691d13f640d0618910eab"}}