{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4EIQE53M25XRJWPKHGDV7QSHK7","short_pith_number":"pith:4EIQE53M","canonical_record":{"source":{"id":"1803.09245","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-25T12:55:17Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"54f853f315a88a3db17729c2c4e15747adca75cbae9480cd580b4a75df71e5fc","abstract_canon_sha256":"d445b096da88fc560264145d7882d0a71ed954464694f031d96c55afbf60d797"},"schema_version":"1.0"},"canonical_sha256":"e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8","source":{"kind":"arxiv","id":"1803.09245","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09245","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09245v2","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09245","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"4EIQE53M25XR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4EIQE53M25XRJWPK","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4EIQE53M","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4EIQE53M25XRJWPKHGDV7QSHK7","target":"record","payload":{"canonical_record":{"source":{"id":"1803.09245","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-25T12:55:17Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"54f853f315a88a3db17729c2c4e15747adca75cbae9480cd580b4a75df71e5fc","abstract_canon_sha256":"d445b096da88fc560264145d7882d0a71ed954464694f031d96c55afbf60d797"},"schema_version":"1.0"},"canonical_sha256":"e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:07.618274Z","signature_b64":"0L3TrOy5r4eBVT41PehJj03YwLXb9PXPzIpsVQ1Fem7x2TXNWb/L5SS67rN+0MYgxkkPzmXeKlVQFGJYwHRYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8","last_reissued_at":"2026-05-18T00:16:07.617601Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:07.617601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.09245","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kHu4lMtUpIzEjw4j0xEujwSsFlyesj7jITcAgiBXr4DsrDc/FNlGzUpn7DaKGUGAz6qqCgr408aGT6lT+5gtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:36:10.085081Z"},"content_sha256":"8a2dd1c537caee280e2aef54116c86ed692ab6a5a54c15dec2be535d2670298e","schema_version":"1.0","event_id":"sha256:8a2dd1c537caee280e2aef54116c86ed692ab6a5a54c15dec2be535d2670298e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4EIQE53M25XRJWPKHGDV7QSHK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On comparison between relative log de Rham-Witt cohomology and relative log crystalline cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Atsushi Shiho, Kazuki Hirayama","submitted_at":"2018-03-25T12:55:17Z","abstract_excerpt":"In this article, we prove the comparison theorem between the relative log de Rham-Witt cohomology and the relative log crystalline cohomology for a log smooth saturated morphism of fs log schemes satisfying certain condition. Our result covers the case where the base fs log scheme is etale locally log smooth over a scheme with trivial log structure or the case where the base fs log scheme is hollow, and so it generalizes the previously known results of Matsuue. In Appendix, we prove that our relative log de Rham-Witt complex and our comparison map are compatible with those of Hyodo-Kato."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09245","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:16:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O79u/j3qvbn8eTsFuxTvkbbTzczBZNzRXDHPqv94Sdk2yLRtLefKfJwwmMsHDpOXUGaLXg1b4eghbYskmBVOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:36:10.085516Z"},"content_sha256":"48820d7a36f273465c7d690cb1a19d24dae6fdada4f7768452efe02142b559bc","schema_version":"1.0","event_id":"sha256:48820d7a36f273465c7d690cb1a19d24dae6fdada4f7768452efe02142b559bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EIQE53M25XRJWPKHGDV7QSHK7/bundle.json","state_url":"https://pith.science/pith/4EIQE53M25XRJWPKHGDV7QSHK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EIQE53M25XRJWPKHGDV7QSHK7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T00:36:10Z","links":{"resolver":"https://pith.science/pith/4EIQE53M25XRJWPKHGDV7QSHK7","bundle":"https://pith.science/pith/4EIQE53M25XRJWPKHGDV7QSHK7/bundle.json","state":"https://pith.science/pith/4EIQE53M25XRJWPKHGDV7QSHK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EIQE53M25XRJWPKHGDV7QSHK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4EIQE53M25XRJWPKHGDV7QSHK7","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":"d445b096da88fc560264145d7882d0a71ed954464694f031d96c55afbf60d797","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-25T12:55:17Z","title_canon_sha256":"54f853f315a88a3db17729c2c4e15747adca75cbae9480cd580b4a75df71e5fc"},"schema_version":"1.0","source":{"id":"1803.09245","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09245","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09245v2","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09245","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"4EIQE53M25XR","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4EIQE53M25XRJWPK","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4EIQE53M","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:48820d7a36f273465c7d690cb1a19d24dae6fdada4f7768452efe02142b559bc","target":"graph","created_at":"2026-05-18T00:16:07Z","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":"In this article, we prove the comparison theorem between the relative log de Rham-Witt cohomology and the relative log crystalline cohomology for a log smooth saturated morphism of fs log schemes satisfying certain condition. Our result covers the case where the base fs log scheme is etale locally log smooth over a scheme with trivial log structure or the case where the base fs log scheme is hollow, and so it generalizes the previously known results of Matsuue. In Appendix, we prove that our relative log de Rham-Witt complex and our comparison map are compatible with those of Hyodo-Kato.","authors_text":"Atsushi Shiho, Kazuki Hirayama","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-25T12:55:17Z","title":"On comparison between relative log de Rham-Witt cohomology and relative log crystalline cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09245","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":"sha256:8a2dd1c537caee280e2aef54116c86ed692ab6a5a54c15dec2be535d2670298e","target":"record","created_at":"2026-05-18T00:16:07Z","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":"d445b096da88fc560264145d7882d0a71ed954464694f031d96c55afbf60d797","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-25T12:55:17Z","title_canon_sha256":"54f853f315a88a3db17729c2c4e15747adca75cbae9480cd580b4a75df71e5fc"},"schema_version":"1.0","source":{"id":"1803.09245","kind":"arxiv","version":2}},"canonical_sha256":"e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e11102776cd76f14d9ea39875fc24757d83998edaee65a8482999384eeae22a8","first_computed_at":"2026-05-18T00:16:07.617601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:07.617601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0L3TrOy5r4eBVT41PehJj03YwLXb9PXPzIpsVQ1Fem7x2TXNWb/L5SS67rN+0MYgxkkPzmXeKlVQFGJYwHRYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:07.618274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.09245","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a2dd1c537caee280e2aef54116c86ed692ab6a5a54c15dec2be535d2670298e","sha256:48820d7a36f273465c7d690cb1a19d24dae6fdada4f7768452efe02142b559bc"],"state_sha256":"49bb51691954419518c16f6b12100eb96aef0984038fdd52b7a2856a516cf044"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vxL6+iQvY4BhhTwRiCB1qsVuJWhonDmtc3F/kld1ibO4PD8fU/ZaCTjPBlm3/tztUk+HZvKG/cpi6uq0+o/GCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:36:10.089033Z","bundle_sha256":"cb274352e2fc468a6d865ecd6b3c46cc1d363554de48ece9ced937bbf677a897"}}