{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:B7SY6NFRMXWJPUNBE7A27AWSTW","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":"47f8d40ac3e98e0eed201745d7c692eab47f58c79d1cccf6d4aff1248791df14","cross_cats_sorted":["math.KT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-03-05T17:51:06Z","title_canon_sha256":"4da71917888517a56a29ca0501b81a8e40fad058819e447c1306fd0439a4aadf"},"schema_version":"1.0","source":{"id":"2303.02729","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.02729","created_at":"2026-07-05T11:30:34Z"},{"alias_kind":"arxiv_version","alias_value":"2303.02729v3","created_at":"2026-07-05T11:30:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.02729","created_at":"2026-07-05T11:30:34Z"},{"alias_kind":"pith_short_12","alias_value":"B7SY6NFRMXWJ","created_at":"2026-07-05T11:30:34Z"},{"alias_kind":"pith_short_16","alias_value":"B7SY6NFRMXWJPUNB","created_at":"2026-07-05T11:30:34Z"},{"alias_kind":"pith_short_8","alias_value":"B7SY6NFR","created_at":"2026-07-05T11:30:34Z"}],"graph_snapshots":[{"event_id":"sha256:8fd39583264e5083bed0c7b37fd31fee28f83469bd7378e1264399a73f4fc92c","target":"graph","created_at":"2026-07-05T11:30:34Z","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/2303.02729/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work is dedicated to the construction of a new motivic homotopy theory for (log) schemes, generalizing Morel-Voevodsky's (un)stable $\\mathbb{A}^1$-homotopy category. Our framework can be used to represent log topological Hochschild and cyclic homology, as well as algebraic $K$-theory of regular schemes. Additionally, we can realize the cyclotomic trace as a morphism between motivic spectra. Among our applications, we provide a generalized framework of oriented cohomology theories that enables us to produce new residue sequences for (topological) Hochschild, periodic, and cyclic homology o","authors_text":"Doosung Park, Federico Binda, Paul Arne {\\O}stv{\\ae}r","cross_cats":["math.KT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-03-05T17:51:06Z","title":"Logarithmic motivic homotopy theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.02729","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":"sha256:7cdbd42451925a0a297c910ea6c93107e67def1442db922765e482bb114af2ba","target":"record","created_at":"2026-07-05T11:30:34Z","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":"47f8d40ac3e98e0eed201745d7c692eab47f58c79d1cccf6d4aff1248791df14","cross_cats_sorted":["math.KT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2023-03-05T17:51:06Z","title_canon_sha256":"4da71917888517a56a29ca0501b81a8e40fad058819e447c1306fd0439a4aadf"},"schema_version":"1.0","source":{"id":"2303.02729","kind":"arxiv","version":3}},"canonical_sha256":"0fe58f34b165ec97d1a127c1af82d29db106f69859c7dc3c2942573cb51b48f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fe58f34b165ec97d1a127c1af82d29db106f69859c7dc3c2942573cb51b48f8","first_computed_at":"2026-07-05T11:30:34.273857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:30:34.273857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/s0t9OcvJ81u33y0xXSgnJ8Cybz//xgncIwwrYiOno23DxbHhqj5ok9U4zWD6fRMdMDamaxJicHcAwx68L+gDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:30:34.274301Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.02729","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cdbd42451925a0a297c910ea6c93107e67def1442db922765e482bb114af2ba","sha256:8fd39583264e5083bed0c7b37fd31fee28f83469bd7378e1264399a73f4fc92c"],"state_sha256":"0a9b99a9bbedd683ce7995e0df9ca4ff8b1d6a7919944fa69b708b81f711da23"}