{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:N6D4IFY5GWBMV5HI267IBC5GWR","short_pith_number":"pith:N6D4IFY5","canonical_record":{"source":{"id":"1301.6326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-27T07:26:57Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"04dd0101ba009fb4518cc5071f997dc4aea5a6bf8b97324d1c4c45b773f9a4fc","abstract_canon_sha256":"21752ed54e9aaedea90f2f6e8069fb30ca985f99ce2100d6669a0f54508cdc5e"},"schema_version":"1.0"},"canonical_sha256":"6f87c4171d3582caf4e8d7be808ba6b44ff1d96b9632c2c29e3093f68933d07f","source":{"kind":"arxiv","id":"1301.6326","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6326","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6326v3","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6326","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"N6D4IFY5GWBM","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N6D4IFY5GWBMV5HI","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N6D4IFY5","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:N6D4IFY5GWBMV5HI267IBC5GWR","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6326","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-27T07:26:57Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"04dd0101ba009fb4518cc5071f997dc4aea5a6bf8b97324d1c4c45b773f9a4fc","abstract_canon_sha256":"21752ed54e9aaedea90f2f6e8069fb30ca985f99ce2100d6669a0f54508cdc5e"},"schema_version":"1.0"},"canonical_sha256":"6f87c4171d3582caf4e8d7be808ba6b44ff1d96b9632c2c29e3093f68933d07f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:32.548357Z","signature_b64":"48KjjqimS8xJCymD4LVKo1hHyxtMLeny85eImNY2VcXw3RRqy4XP5vuDjXYOgrBGNAhsYbGG3Td+NbdhGdlqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f87c4171d3582caf4e8d7be808ba6b44ff1d96b9632c2c29e3093f68933d07f","last_reissued_at":"2026-05-18T02:50:32.547927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:32.547927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6326","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZIR08FFEGnvTwdqPWOyEoIWnZnRnGqUm+7dSk2KDgtyS5PHNI8lVIXrKJHyODIg3DgWJIv9sQd8sGINmHbehCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:36:33.625149Z"},"content_sha256":"7f0838c203f699dbc14a4e7c943e77091b597fd9d9f089552149e483f8b55b28","schema_version":"1.0","event_id":"sha256:7f0838c203f699dbc14a4e7c943e77091b597fd9d9f089552149e483f8b55b28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:N6D4IFY5GWBMV5HI267IBC5GWR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Tate conjecture for K3 surfaces in odd characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Keerthi Madapusi Pera","submitted_at":"2013-01-27T07:26:57Z","abstract_excerpt":"We show that the classical Kuga-Satake construction gives rise, away from characteristic 2, to an open immersion from the moduli of primitively polarized K3 surfaces (of any fixed degree) to a certain regular integral model for a Shimura variety of orthogonal type. This allows us to attach to every polarized K3 surface in odd characteristic an abelian variety such that divisors on the surface can be identified with certain endomorphisms of the attached abelian variety. In turn, this reduces the Tate conjecture for K3 surfaces over finitely generated fields of odd characteristic to a version of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6326","kind":"arxiv","version":3},"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":"2026-05-18T02:50:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pdCvy/VACJSFmmUf0ZxafXRHrCbnvttyEoIhXCXN3Ea/idtDclVDr+SkpPq18J8UEr3fzCKQpv76wBhzNbS8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:36:33.625500Z"},"content_sha256":"4f875d759a0414f7a2bfc2d680779e614aa5e7a9624cb88f546381cf6e54508c","schema_version":"1.0","event_id":"sha256:4f875d759a0414f7a2bfc2d680779e614aa5e7a9624cb88f546381cf6e54508c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N6D4IFY5GWBMV5HI267IBC5GWR/bundle.json","state_url":"https://pith.science/pith/N6D4IFY5GWBMV5HI267IBC5GWR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N6D4IFY5GWBMV5HI267IBC5GWR/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":"2026-06-08T23:36:33Z","links":{"resolver":"https://pith.science/pith/N6D4IFY5GWBMV5HI267IBC5GWR","bundle":"https://pith.science/pith/N6D4IFY5GWBMV5HI267IBC5GWR/bundle.json","state":"https://pith.science/pith/N6D4IFY5GWBMV5HI267IBC5GWR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N6D4IFY5GWBMV5HI267IBC5GWR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:N6D4IFY5GWBMV5HI267IBC5GWR","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":"21752ed54e9aaedea90f2f6e8069fb30ca985f99ce2100d6669a0f54508cdc5e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-27T07:26:57Z","title_canon_sha256":"04dd0101ba009fb4518cc5071f997dc4aea5a6bf8b97324d1c4c45b773f9a4fc"},"schema_version":"1.0","source":{"id":"1301.6326","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6326","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6326v3","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6326","created_at":"2026-05-18T02:50:32Z"},{"alias_kind":"pith_short_12","alias_value":"N6D4IFY5GWBM","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"N6D4IFY5GWBMV5HI","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"N6D4IFY5","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:4f875d759a0414f7a2bfc2d680779e614aa5e7a9624cb88f546381cf6e54508c","target":"graph","created_at":"2026-05-18T02:50:32Z","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 classical Kuga-Satake construction gives rise, away from characteristic 2, to an open immersion from the moduli of primitively polarized K3 surfaces (of any fixed degree) to a certain regular integral model for a Shimura variety of orthogonal type. This allows us to attach to every polarized K3 surface in odd characteristic an abelian variety such that divisors on the surface can be identified with certain endomorphisms of the attached abelian variety. In turn, this reduces the Tate conjecture for K3 surfaces over finitely generated fields of odd characteristic to a version of","authors_text":"Keerthi Madapusi Pera","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-27T07:26:57Z","title":"The Tate conjecture for K3 surfaces in odd characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6326","kind":"arxiv","version":3},"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":"sha256:7f0838c203f699dbc14a4e7c943e77091b597fd9d9f089552149e483f8b55b28","target":"record","created_at":"2026-05-18T02:50:32Z","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":"21752ed54e9aaedea90f2f6e8069fb30ca985f99ce2100d6669a0f54508cdc5e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-01-27T07:26:57Z","title_canon_sha256":"04dd0101ba009fb4518cc5071f997dc4aea5a6bf8b97324d1c4c45b773f9a4fc"},"schema_version":"1.0","source":{"id":"1301.6326","kind":"arxiv","version":3}},"canonical_sha256":"6f87c4171d3582caf4e8d7be808ba6b44ff1d96b9632c2c29e3093f68933d07f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f87c4171d3582caf4e8d7be808ba6b44ff1d96b9632c2c29e3093f68933d07f","first_computed_at":"2026-05-18T02:50:32.547927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:32.547927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"48KjjqimS8xJCymD4LVKo1hHyxtMLeny85eImNY2VcXw3RRqy4XP5vuDjXYOgrBGNAhsYbGG3Td+NbdhGdlqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:32.548357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6326","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f0838c203f699dbc14a4e7c943e77091b597fd9d9f089552149e483f8b55b28","sha256:4f875d759a0414f7a2bfc2d680779e614aa5e7a9624cb88f546381cf6e54508c"],"state_sha256":"d1e470e34a4c6688a377b71458cb8056ef04790a54632c495bc3eabfe2df78bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"89dFUjHm8XfA+Yw1YTEsDmW5gyAIjByq9Tvg0JXW1TE55Y4RX5lR4gD6dUqpGiRPXTKUxgNh/WS/U0F/RNaSCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:36:33.627391Z","bundle_sha256":"533f1823c68682aa222fac0fbb827df98cf538854b251294a7d54163b6b662c8"}}