{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3OONZLOHCRC5MM3O7LUFEFJDYF","short_pith_number":"pith:3OONZLOH","schema_version":"1.0","canonical_sha256":"db9cdcadc71445d6336efae8521523c174c61d2c25919e91d554be5b383c06f6","source":{"kind":"arxiv","id":"2405.14083","version":1},"attestation_state":"computed","paper":{"title":"Log motivic nearby cycles","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Doosung Park","submitted_at":"2024-05-23T01:06:57Z","abstract_excerpt":"We define the log motivic nearby cycles functor. We show that this sends the motive of a proper smooth scheme over the fraction field of a DVR to the motive of the boundary of a log smooth model assuming absolute purity, which is unconditional in the equal characteristic case. In characteristic $0$, we show that the $\\infty$-categories of motives over the standard log point and rigid analytic motives are equivalent, and we relate log motivic nearby cycles functor with Ayoub's motivic nearby cycles functor."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2405.14083","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-05-23T01:06:57Z","cross_cats_sorted":[],"title_canon_sha256":"6a642b823215d91c7b10824c49406565770422f85c95eb6493ea6ebcbb162d84","abstract_canon_sha256":"c526b4db9addb25654972cf38ada5b5737a5c8326ff004b42609141d447f58bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:22:10.110426Z","signature_b64":"ShWJZbNZF1fPzjDt1RqPD2mU8xwMZLc7DRBVAlVntPrOX1FcaaSshZxvuMk2QXBQbsu6oVw6+3Bs5Vo3GfH/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db9cdcadc71445d6336efae8521523c174c61d2c25919e91d554be5b383c06f6","last_reissued_at":"2026-07-05T08:22:10.109992Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:22:10.109992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log motivic nearby cycles","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Doosung Park","submitted_at":"2024-05-23T01:06:57Z","abstract_excerpt":"We define the log motivic nearby cycles functor. We show that this sends the motive of a proper smooth scheme over the fraction field of a DVR to the motive of the boundary of a log smooth model assuming absolute purity, which is unconditional in the equal characteristic case. In characteristic $0$, we show that the $\\infty$-categories of motives over the standard log point and rigid analytic motives are equivalent, and we relate log motivic nearby cycles functor with Ayoub's motivic nearby cycles functor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.14083","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.14083/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2405.14083","created_at":"2026-07-05T08:22:10.110050+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.14083v1","created_at":"2026-07-05T08:22:10.110050+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.14083","created_at":"2026-07-05T08:22:10.110050+00:00"},{"alias_kind":"pith_short_12","alias_value":"3OONZLOHCRC5","created_at":"2026-07-05T08:22:10.110050+00:00"},{"alias_kind":"pith_short_16","alias_value":"3OONZLOHCRC5MM3O","created_at":"2026-07-05T08:22:10.110050+00:00"},{"alias_kind":"pith_short_8","alias_value":"3OONZLOH","created_at":"2026-07-05T08:22:10.110050+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2508.16196","citing_title":"A motivic approach to rational $p$-adic cohomologies","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF","json":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF.json","graph_json":"https://pith.science/api/pith-number/3OONZLOHCRC5MM3O7LUFEFJDYF/graph.json","events_json":"https://pith.science/api/pith-number/3OONZLOHCRC5MM3O7LUFEFJDYF/events.json","paper":"https://pith.science/paper/3OONZLOH"},"agent_actions":{"view_html":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF","download_json":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF.json","view_paper":"https://pith.science/paper/3OONZLOH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.14083&json=true","fetch_graph":"https://pith.science/api/pith-number/3OONZLOHCRC5MM3O7LUFEFJDYF/graph.json","fetch_events":"https://pith.science/api/pith-number/3OONZLOHCRC5MM3O7LUFEFJDYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF/action/storage_attestation","attest_author":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF/action/author_attestation","sign_citation":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF/action/citation_signature","submit_replication":"https://pith.science/pith/3OONZLOHCRC5MM3O7LUFEFJDYF/action/replication_record"}},"created_at":"2026-07-05T08:22:10.110050+00:00","updated_at":"2026-07-05T08:22:10.110050+00:00"}