{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DTSQUJ34PMRXFVRIX2OTQ472IV","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":"0fece6cf7a298f443d6e9d5de3b0c151006aa5b963b3d0acf59af792127549c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T04:26:23Z","title_canon_sha256":"be80f7ef85f6c66c8dd2daccda6600bb724b5dbfcf021a2cbf9968a845164cdb"},"schema_version":"1.0","source":{"id":"2409.19549","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.19549","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"2409.19549v2","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19549","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"DTSQUJ34PMRX","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_16","alias_value":"DTSQUJ34PMRXFVRI","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_8","alias_value":"DTSQUJ34","created_at":"2026-07-05T09:48:36Z"}],"graph_snapshots":[{"event_id":"sha256:501b5bcb800d0e0f3d766e16f77d99186e3326432270fa5c24e8e3d81203d87b","target":"graph","created_at":"2026-07-05T09:48:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.19549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct elements in the motivic cohomology of certain rank 4 weight 3 Calabi--Yau motives, and write down explicit expressions for the regulators of these elements in the context of conjectures on $L$-values such as those of Beilinson or Bloch-Kato. We apply a combination of three ideas: (i) that a motive can be made to vary in a family in such a way that a desired motivic cohomology class is realized by relative cohomology; (ii)~that there are ways to construct higher-rank (such as $2\\times 2$) regulators from a single family; and (iii) that one can arrange elements in $H^4_{\\text{Mot}}(","authors_text":"Matt Kerr, Vasily Golyshev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T04:26:23Z","title":"The arithmetic of Calabi-Yau motives and mobile higher regulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19549","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":"sha256:0135c26fc1178b36b950d1d04dfc805edee6df473e49c21f1aed7a99396beceb","target":"record","created_at":"2026-07-05T09:48:36Z","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":"0fece6cf7a298f443d6e9d5de3b0c151006aa5b963b3d0acf59af792127549c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T04:26:23Z","title_canon_sha256":"be80f7ef85f6c66c8dd2daccda6600bb724b5dbfcf021a2cbf9968a845164cdb"},"schema_version":"1.0","source":{"id":"2409.19549","kind":"arxiv","version":2}},"canonical_sha256":"1ce50a277c7b2372d628be9d3873fa4572d22de929394acfd0b3b8ff4816edb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ce50a277c7b2372d628be9d3873fa4572d22de929394acfd0b3b8ff4816edb0","first_computed_at":"2026-07-05T09:48:36.378487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:36.378487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DhTNdhzp9Qaw158PhfdufIfZKJSoxKjQP5F4joeNXgaAouec8frbbRan/J94eNmxjpuwA7w/bS1mMV+aFNMYAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:36.378934Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.19549","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0135c26fc1178b36b950d1d04dfc805edee6df473e49c21f1aed7a99396beceb","sha256:501b5bcb800d0e0f3d766e16f77d99186e3326432270fa5c24e8e3d81203d87b"],"state_sha256":"b3f65bc6d82a77e70b72089f433503500fdb81fa33b942477f81e749223bded1"}