{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YOVLP4MIIEAPQCQ2FLC6SSLWRH","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":"3e2d6ab8f9fc96cb179f236793ab8e5c5684f566d96eabd03afac27a8ede8c67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-22T13:03:00Z","title_canon_sha256":"5185cccc4c17faeca164b84408a8cae37624e8d6193cf0c470524e17b65e17cb"},"schema_version":"1.0","source":{"id":"1312.6378","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6378","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6378v2","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6378","created_at":"2026-05-18T02:48:00Z"},{"alias_kind":"pith_short_12","alias_value":"YOVLP4MIIEAP","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YOVLP4MIIEAPQCQ2","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YOVLP4MI","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:f1f9c8afb4eadd06412fcedf522acb39ba334b44c135d9ed3b19067db69b1766","target":"graph","created_at":"2026-05-18T02:48:00Z","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 extend Torleif Veen's calculation of higher topological Hochschild homology ${\\sf THH}^{[n]}_*(\\mathbb{F}_p)$ from $n\\leq 2p$ to $n\\leq 2p+2$ for $p$ odd, and from $n=2$ to $n\\leq 3$ for $p=2$. We calculate higher Hochschild homology ${\\sf HH}_*^{[n]}(k[x])$ over $k$ for any integral domain $k$, and ${\\sf HH}_*^{[n]}(\\mathbb{F}_p[x]/x^{p^\\ell})$ for all $n>0$. We use this and \\'etale descent to calculate ${\\sf HH}_*^{[n]}(\\mathbb{F}_p[G])$ for all $n>0$ for any cyclic group $G$, and therefore also for any finitely generated abelian group $G$. We show a splitting result for higher ${\\sf THH}","authors_text":"Ayelet Lindenstrauss, Birgit Richter, Inna Zakharevich, Irina Bobkova, Kate Poirier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-22T13:03:00Z","title":"On the higher topological Hochschild homology of $\\mathbb{F}_p$ and commutative $\\mathbb{F}_p$-group algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6378","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:abfa5522e495c6813c9274e2700b137c69c11de92a75bfa63d75a532a3235b61","target":"record","created_at":"2026-05-18T02:48:00Z","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":"3e2d6ab8f9fc96cb179f236793ab8e5c5684f566d96eabd03afac27a8ede8c67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-12-22T13:03:00Z","title_canon_sha256":"5185cccc4c17faeca164b84408a8cae37624e8d6193cf0c470524e17b65e17cb"},"schema_version":"1.0","source":{"id":"1312.6378","kind":"arxiv","version":2}},"canonical_sha256":"c3aab7f1884100f80a1a2ac5e9497689d0d999f5672c9aa0d11c53376821b0f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3aab7f1884100f80a1a2ac5e9497689d0d999f5672c9aa0d11c53376821b0f8","first_computed_at":"2026-05-18T02:48:00.938825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:00.938825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zd9GuqCeDp3cahLzkcyKDAa4oHyJNkZ0Z0eYfpW2sOtUTAtJiS/upcWkm/VmCJITwZsVW3+TFEnrKQNwhwKoBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:00.939301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6378","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abfa5522e495c6813c9274e2700b137c69c11de92a75bfa63d75a532a3235b61","sha256:f1f9c8afb4eadd06412fcedf522acb39ba334b44c135d9ed3b19067db69b1766"],"state_sha256":"25585e83df2888c3fb8a1fb0f5d222f8b12cd0bda4b1d3d6e78dac0cd6903431"}