{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AN7IOYZDQL5Q45IOL4RUZNCOKT","short_pith_number":"pith:AN7IOYZD","canonical_record":{"source":{"id":"1711.04356","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-12T21:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"ac3b53711695e2881a7a9cf3f4066bc0eacdce1bef0b2f0b048d6b57f158ad26","abstract_canon_sha256":"ce377a936fc79a4ddb649da21143a165f82cd661dfc5a7768f87caab6b317955"},"schema_version":"1.0"},"canonical_sha256":"037e87632382fb0e750e5f234cb44e54d06fd2477aea9da8fc3bc04659e96596","source":{"kind":"arxiv","id":"1711.04356","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04356","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04356v4","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04356","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"AN7IOYZDQL5Q","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AN7IOYZDQL5Q45IO","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AN7IOYZD","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AN7IOYZDQL5Q45IOL4RUZNCOKT","target":"record","payload":{"canonical_record":{"source":{"id":"1711.04356","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-12T21:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"ac3b53711695e2881a7a9cf3f4066bc0eacdce1bef0b2f0b048d6b57f158ad26","abstract_canon_sha256":"ce377a936fc79a4ddb649da21143a165f82cd661dfc5a7768f87caab6b317955"},"schema_version":"1.0"},"canonical_sha256":"037e87632382fb0e750e5f234cb44e54d06fd2477aea9da8fc3bc04659e96596","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:48.796527Z","signature_b64":"ger0LHMtQAOHY6PEHNIfJuS1SZmHrI/shzEaQk39eGEDQR9CKSJahvSOK5CJAR9UOrndPRahjsg6np5bfQ8FAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"037e87632382fb0e750e5f234cb44e54d06fd2477aea9da8fc3bc04659e96596","last_reissued_at":"2026-05-17T23:57:48.796106Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:48.796106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.04356","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:57:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bsqeKcgBd/n8qhrkUjH8w803MGpW5WqI4VZv67pM6mKjeHpQYdvsNM9T6fFVjiAHSgLEetLTsDa8Dar/8w4zBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:17:38.379453Z"},"content_sha256":"277e55cbde6cd614ff816e41297c2a092a5db83b2bcbc2d0bf0cb839c918e74f","schema_version":"1.0","event_id":"sha256:277e55cbde6cd614ff816e41297c2a092a5db83b2bcbc2d0bf0cb839c918e74f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AN7IOYZDQL5Q45IOL4RUZNCOKT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hasse principle for Rost motives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Maksim Zhykhovich, Mikhail Borovoi, Nikita Semenov","submitted_at":"2017-11-12T21:07:04Z","abstract_excerpt":"We prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04356","kind":"arxiv","version":4},"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":"2026-05-17T23:57:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yb6m42TF84WVxJvadNtNQKDa/ia/reVjF99uk+IDQ365wpoWjpYbKtN7XxKHk1J+Yihl+YTRSnUfw47trrrFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T12:17:38.379930Z"},"content_sha256":"1d826b9a6adc3c8d8b0fa83b380efe87d952b4e47b01978a37caa7147afb0fc9","schema_version":"1.0","event_id":"sha256:1d826b9a6adc3c8d8b0fa83b380efe87d952b4e47b01978a37caa7147afb0fc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/bundle.json","state_url":"https://pith.science/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/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":"2026-06-03T12:17:38Z","links":{"resolver":"https://pith.science/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT","bundle":"https://pith.science/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/bundle.json","state":"https://pith.science/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AN7IOYZDQL5Q45IOL4RUZNCOKT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AN7IOYZDQL5Q45IOL4RUZNCOKT","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":"ce377a936fc79a4ddb649da21143a165f82cd661dfc5a7768f87caab6b317955","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-12T21:07:04Z","title_canon_sha256":"ac3b53711695e2881a7a9cf3f4066bc0eacdce1bef0b2f0b048d6b57f158ad26"},"schema_version":"1.0","source":{"id":"1711.04356","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04356","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04356v4","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04356","created_at":"2026-05-17T23:57:48Z"},{"alias_kind":"pith_short_12","alias_value":"AN7IOYZDQL5Q","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AN7IOYZDQL5Q45IO","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AN7IOYZD","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:1d826b9a6adc3c8d8b0fa83b380efe87d952b4e47b01978a37caa7147afb0fc9","target":"graph","created_at":"2026-05-17T23:57:48Z","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 prove a Hasse principle for binary direct summands of the Chow motive of a smooth projective quadric Q over a number field F. Besides, we show that such summands are twists of Rost motives. In the case when F has at most one real embedding we describe a complete motivic decomposition of Q.","authors_text":"Maksim Zhykhovich, Mikhail Borovoi, Nikita Semenov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-12T21:07:04Z","title":"Hasse principle for Rost motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04356","kind":"arxiv","version":4},"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":"sha256:277e55cbde6cd614ff816e41297c2a092a5db83b2bcbc2d0bf0cb839c918e74f","target":"record","created_at":"2026-05-17T23:57:48Z","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":"ce377a936fc79a4ddb649da21143a165f82cd661dfc5a7768f87caab6b317955","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-12T21:07:04Z","title_canon_sha256":"ac3b53711695e2881a7a9cf3f4066bc0eacdce1bef0b2f0b048d6b57f158ad26"},"schema_version":"1.0","source":{"id":"1711.04356","kind":"arxiv","version":4}},"canonical_sha256":"037e87632382fb0e750e5f234cb44e54d06fd2477aea9da8fc3bc04659e96596","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"037e87632382fb0e750e5f234cb44e54d06fd2477aea9da8fc3bc04659e96596","first_computed_at":"2026-05-17T23:57:48.796106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:48.796106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ger0LHMtQAOHY6PEHNIfJuS1SZmHrI/shzEaQk39eGEDQR9CKSJahvSOK5CJAR9UOrndPRahjsg6np5bfQ8FAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:48.796527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04356","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:277e55cbde6cd614ff816e41297c2a092a5db83b2bcbc2d0bf0cb839c918e74f","sha256:1d826b9a6adc3c8d8b0fa83b380efe87d952b4e47b01978a37caa7147afb0fc9"],"state_sha256":"60e831e918848aa3424a7f6116de385a08f3e9357d8cc68051f1b68ac46e4697"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z4mx453aowWhJBPL+YT9877eKsvIce0/ks/9ZB01yD84lRTw+9nkAFDM/TxXvPxxs9eB+wdAoLmKoi0cfN1vDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T12:17:38.382532Z","bundle_sha256":"1d65062d86dea3358a4d43f504c372d2b4db703971a10538dc15cceb99e6e6af"}}