{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LNZ5FUKGF7AXGAREQU42TAC2RF","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":"cf842285dcafd150e465a4faca022974a3bb502bf17a84675eeb02b41d3e5572","cross_cats_sorted":["math.AT","math.NT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.KT","submitted_at":"2018-10-23T21:00:06Z","title_canon_sha256":"fad0ad4b44cf3cdf4619a2aac10162b48d83c1c762a4bf71f36e10c92f569e91"},"schema_version":"1.0","source":{"id":"1810.10088","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10088","created_at":"2026-07-05T05:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10088v4","created_at":"2026-07-05T05:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10088","created_at":"2026-07-05T05:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"LNZ5FUKGF7AX","created_at":"2026-07-05T05:06:06Z"},{"alias_kind":"pith_short_16","alias_value":"LNZ5FUKGF7AXGARE","created_at":"2026-07-05T05:06:06Z"},{"alias_kind":"pith_short_8","alias_value":"LNZ5FUKG","created_at":"2026-07-05T05:06:06Z"}],"graph_snapshots":[{"event_id":"sha256:44867caadc062e5805f24c22476ae5f9eac85e796f44c65e36e1b8eae3f51633","target":"graph","created_at":"2026-07-05T05:06:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1810.10088/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-theory groups. The Ausoni--Rognes red-shift conjectures generalize the LQC to higher chromatic heights in a precise sense. In this paper, we propose an alternate generalization of the LQC to higher chromatic heights and give evidence for it at height two. In particular, if the $n$-th Greek letter family is detected by a commutative ring spectrum $R$, then we conjecture that the $n+1$-st Greek letter family will be detected by the algebraic K-theory of $R$. We prove this in the case $n=1$ for $R=\\t","authors_text":"Gabriel Angelini-Knoll","cross_cats":["math.AT","math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.KT","submitted_at":"2018-10-23T21:00:06Z","title":"Detecting $\\beta$ elements in iterated algebraic K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10088","kind":"arxiv","version":4},"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":"sha256:566b2b1bc83ad0b21203c3d2adfd670370eb612b140b02db921a946503fa9f6f","target":"record","created_at":"2026-07-05T05:06:06Z","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":"cf842285dcafd150e465a4faca022974a3bb502bf17a84675eeb02b41d3e5572","cross_cats_sorted":["math.AT","math.NT"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.KT","submitted_at":"2018-10-23T21:00:06Z","title_canon_sha256":"fad0ad4b44cf3cdf4619a2aac10162b48d83c1c762a4bf71f36e10c92f569e91"},"schema_version":"1.0","source":{"id":"1810.10088","kind":"arxiv","version":4}},"canonical_sha256":"5b73d2d1462fc17302248539a9805a8957979283f1df325bd765aa2caacb6bbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b73d2d1462fc17302248539a9805a8957979283f1df325bd765aa2caacb6bbb","first_computed_at":"2026-07-05T05:06:06.158416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:06:06.158416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zYxeMH1VG+k6787Lz3+1mf7aM0dKbXa4gmNhMWbYG5uvNotXtegS7g3RBRUKT5lqfjzYnBzh5yTeFosKLMWoDg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:06:06.158844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10088","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:566b2b1bc83ad0b21203c3d2adfd670370eb612b140b02db921a946503fa9f6f","sha256:44867caadc062e5805f24c22476ae5f9eac85e796f44c65e36e1b8eae3f51633"],"state_sha256":"9a074d7eafef8ad41101a98bc8b13d328ec6b0e6038767e0fd0a37c36ff197b9"}