{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:NXSOYMQAQZJYE5HGPGCIPSIX5Y","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":"df963a9f980f5b479dc477f97a64d4b2aaf59527a4a08495a9cede1253b57014","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-01-14T16:41:04Z","title_canon_sha256":"b02c3f3fb17fafce734a17abd1585143b63b9b26d2dd7ab2c70dabd1104626d3"},"schema_version":"1.0","source":{"id":"0801.2114","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2114","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2114v2","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2114","created_at":"2026-05-17T23:53:20Z"},{"alias_kind":"pith_short_12","alias_value":"NXSOYMQAQZJY","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"NXSOYMQAQZJYE5HG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"NXSOYMQA","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:f08b5a52b0e5a1d31f7e3a5bedad6e3b3eecfb1afb1257e9cfec16f58bd1b684","target":"graph","created_at":"2026-05-17T23:53:20Z","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":"Using the Gille-Merkurjev norm principle we compute in a uniform way the image of the degree map for quadrics (Springer's theorem), for twisted forms of maximal orthogonal Grassmannians (theorem of Bayer-Fluckiger and Lenstra), for E6- (Rost's theorem), and E7-varieties.","authors_text":"Nikita Semenov, Philippe Gille","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-01-14T16:41:04Z","title":"Zero cycles on projective varieties and the norm principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2114","kind":"arxiv","version":2},"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":"sha256:9895d3a295f43380c916c41342e929ba9d0d62a80653e615113df80d839432b5","target":"record","created_at":"2026-05-17T23:53:20Z","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":"df963a9f980f5b479dc477f97a64d4b2aaf59527a4a08495a9cede1253b57014","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-01-14T16:41:04Z","title_canon_sha256":"b02c3f3fb17fafce734a17abd1585143b63b9b26d2dd7ab2c70dabd1104626d3"},"schema_version":"1.0","source":{"id":"0801.2114","kind":"arxiv","version":2}},"canonical_sha256":"6de4ec320086538274e6798487c917ee16ee0af436bf350e8fd2a89a63865e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6de4ec320086538274e6798487c917ee16ee0af436bf350e8fd2a89a63865e7d","first_computed_at":"2026-05-17T23:53:20.250990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:20.250990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eJU/7X77/vGTdl4qeZA0k3QMPtUfplsgN1+b8ZBeScg2XAfZAxuK6BSuvRyUM19IMm3QDIWZR45bpppDZ8jZAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:20.251531Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.2114","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9895d3a295f43380c916c41342e929ba9d0d62a80653e615113df80d839432b5","sha256:f08b5a52b0e5a1d31f7e3a5bedad6e3b3eecfb1afb1257e9cfec16f58bd1b684"],"state_sha256":"cda1ba209aaf647e0eda4d0cc0cf3c4d075947fe842a42f910907484e44202d5"}