{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JR5UX4CMWBXGGUXNPJHRUOSI7S","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":"dbd64c5a9a593a6f1014c8941f0e683f5e32cbca64636c650bcec0625d2bcddf","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-01-02T04:57:45Z","title_canon_sha256":"3d7a28e68ade0166c990b68655a7bb0113f7ac44fc873a251770f44a6a3f452b"},"schema_version":"1.0","source":{"id":"1901.00264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00264","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00264v1","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00264","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"JR5UX4CMWBXG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"JR5UX4CMWBXGGUXN","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"JR5UX4CM","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:0d8f365d8b2d59d66362b8eeb64d586ff0cb9c9014109012e27b95c2e45036a7","target":"graph","created_at":"2026-05-17T23:57:06Z","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 calculate the algebraic $K$-theory of the coordinate ring of a planar cuspidal curve over a regular $\\mathbb{F}_p$-algebra, thereby verifying a conjecture due to Hesselholt. In the course of the proof we compute the Picard group of the homotopy category of $p$-complete genuine $C_{p^n}$-spectra.","authors_text":"Vigleik Angeltveit","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-01-02T04:57:45Z","title":"Picard groups and the K-theory of curves with cuspidal singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00264","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:b6bc9700812883ee024e5d7d6ac2a22ab866b2f526d133745c6cdcb828b11439","target":"record","created_at":"2026-05-17T23:57:06Z","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":"dbd64c5a9a593a6f1014c8941f0e683f5e32cbca64636c650bcec0625d2bcddf","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-01-02T04:57:45Z","title_canon_sha256":"3d7a28e68ade0166c990b68655a7bb0113f7ac44fc873a251770f44a6a3f452b"},"schema_version":"1.0","source":{"id":"1901.00264","kind":"arxiv","version":1}},"canonical_sha256":"4c7b4bf04cb06e6352ed7a4f1a3a48fcb98c8f0ded94df575131e47256cbc8aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c7b4bf04cb06e6352ed7a4f1a3a48fcb98c8f0ded94df575131e47256cbc8aa","first_computed_at":"2026-05-17T23:57:06.541181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:06.541181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xnaj+7ZCRuRIa/GZHhxfEJCOPdlwTS67hvowbJktwIUR2MkufWszA6yjnSI6a1ytFGL5yxep8pYbq/egY/dXDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:06.541703Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6bc9700812883ee024e5d7d6ac2a22ab866b2f526d133745c6cdcb828b11439","sha256:0d8f365d8b2d59d66362b8eeb64d586ff0cb9c9014109012e27b95c2e45036a7"],"state_sha256":"c31c05e9697627ea6b27d7b65aa4171e54e5221724e55572149ca30b871aed82"}