{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NDQM2FA4FDZK2DUOVFRO2L4TUN","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":"dbdc8655c1d9fb79950f215a0bc3eb38bdeda89c2a6a9435762c6da0886e1c1d","cross_cats_sorted":["math.KT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-23T07:44:21Z","title_canon_sha256":"68c9658bc95d2c68fd821c50acfffa45d6f2c9e44015301aba026d99c904d8c8"},"schema_version":"1.0","source":{"id":"1511.07124","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07124","created_at":"2026-05-17T23:52:19Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07124v6","created_at":"2026-05-17T23:52:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07124","created_at":"2026-05-17T23:52:19Z"},{"alias_kind":"pith_short_12","alias_value":"NDQM2FA4FDZK","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NDQM2FA4FDZK2DUO","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NDQM2FA4","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:e39beee2f22d1ed06f0d42eddf9814703daaa5d88e1ae2f06e9e4c6c7c19576f","target":"graph","created_at":"2026-05-17T23:52:19Z","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 construct and study a triangulated category of motives with modulus $\\mathbf{MDM}_{\\mathrm{gm}}^{\\mathrm{eff}}$ over a field $k$ that extends Voevodsky's category $\\mathbf{DM}_{\\mathrm{gm}}^{\\mathrm{eff}}$ in such a way as to encompass non-homotopy invariant phenomena. In a similar way as $\\mathbf{DM}_{\\mathrm{gm}}^{\\mathrm{eff}}$ is constructed out of smooth $k$-varieties, $\\mathbf{MDM}_{\\mathrm{gm}}^{\\mathrm{eff}}$ is constructed out of \\emph{proper modulus pairs}, that is, pairs of a proper $k$-variety $X$ and an effective divisor $D$ on $X$ such that $X \\setminus |D|$ is smooth. To a mo","authors_text":"Bruno Kahn, Shuji Saito, Takao Yamazaki","cross_cats":["math.KT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-23T07:44:21Z","title":"Motives with modulus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07124","kind":"arxiv","version":6},"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:c6d29b4c90985d36d0a3fe144a9107fae868fbf1af36d241ba7110cbe03395d8","target":"record","created_at":"2026-05-17T23:52:19Z","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":"dbdc8655c1d9fb79950f215a0bc3eb38bdeda89c2a6a9435762c6da0886e1c1d","cross_cats_sorted":["math.KT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-11-23T07:44:21Z","title_canon_sha256":"68c9658bc95d2c68fd821c50acfffa45d6f2c9e44015301aba026d99c904d8c8"},"schema_version":"1.0","source":{"id":"1511.07124","kind":"arxiv","version":6}},"canonical_sha256":"68e0cd141c28f2ad0e8ea962ed2f93a3570ab7aef2c0433d89438225b1093623","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68e0cd141c28f2ad0e8ea962ed2f93a3570ab7aef2c0433d89438225b1093623","first_computed_at":"2026-05-17T23:52:19.296575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:19.296575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ob80tErS2QpjvLZV+lGXUzD39oS9J53laHamdwpFJ1I1Z82mprqxrrmPdjkTQzIUTx71dJ1QMcpxtNvkPCOvCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:19.297332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07124","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6d29b4c90985d36d0a3fe144a9107fae868fbf1af36d241ba7110cbe03395d8","sha256:e39beee2f22d1ed06f0d42eddf9814703daaa5d88e1ae2f06e9e4c6c7c19576f"],"state_sha256":"375f4601d4d1d16f7c5a1e93466f34daf90c73bbbe5eb166764ac3af55b1652b"}