{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:6NJOUX5DK2QCFC5MXV23TZQD65","short_pith_number":"pith:6NJOUX5D","schema_version":"1.0","canonical_sha256":"f352ea5fa356a0228bacbd75b9e603f76de51865bef19da30624dbe014d25f6e","source":{"kind":"arxiv","id":"1207.0714","version":3},"attestation_state":"computed","paper":{"title":"Sur la pr\\'eservation de la coh\\'erence par image inverse extraordinaire par une immersion ferm\\'ee","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-07-03T15:31:38Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valuation ring of unequal characteristic with perfect residue field, $u\\colon \\mathcal{Z} \\hookrightarrow \\mathfrak{X}$ be a closed immersion of smooth, quasi-compact, separated formal schemes over $\\mathcal{V}$, $T$ be a divisor of $X$ such that $U:= T \\cap Z$ is a divisor of $Z$, $\\mathfrak{D}$ a strict normal crossing divisor of $\\mathfrak{X}$ such that $u ^{-1} (\\mathfrak{D})$ is a strict normal crossing divisor of $\\mathcal{Z}$. We pose $\\mathfrak{X} ^{\\sharp}:= (\\mathfrak{X}, \\mathfrak{D})$, $\\mathcal{Z} ^{\\sharp}:= (\\mathcal{Z}, u ^{-1}\\mathfrak{"},"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":"1207.0714","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-07-03T15:31:38Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"b97d203cd9a680bf6d2a4256848ead738be6e94c3a7dca8a0f0cbba733a73a45","abstract_canon_sha256":"34b1bbfaf8cb100f76bee03ed7a2e0cac97b3b9ddd76d7b41d4ae711ba825cd7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:02.269457Z","signature_b64":"9rmU3R4orpw/oZIwYEj7VSztqpKr/i6+qpxoIemoeJ5TQ3ohYv/BCPuigpc55u3GoS2KDibz2xyt9vrdkHFSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f352ea5fa356a0228bacbd75b9e603f76de51865bef19da30624dbe014d25f6e","last_reissued_at":"2026-05-18T03:44:02.268891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:02.268891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sur la pr\\'eservation de la coh\\'erence par image inverse extraordinaire par une immersion ferm\\'ee","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-07-03T15:31:38Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valuation ring of unequal characteristic with perfect residue field, $u\\colon \\mathcal{Z} \\hookrightarrow \\mathfrak{X}$ be a closed immersion of smooth, quasi-compact, separated formal schemes over $\\mathcal{V}$, $T$ be a divisor of $X$ such that $U:= T \\cap Z$ is a divisor of $Z$, $\\mathfrak{D}$ a strict normal crossing divisor of $\\mathfrak{X}$ such that $u ^{-1} (\\mathfrak{D})$ is a strict normal crossing divisor of $\\mathcal{Z}$. We pose $\\mathfrak{X} ^{\\sharp}:= (\\mathfrak{X}, \\mathfrak{D})$, $\\mathcal{Z} ^{\\sharp}:= (\\mathcal{Z}, u ^{-1}\\mathfrak{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0714","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.0714","created_at":"2026-05-18T03:44:02.268986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.0714v3","created_at":"2026-05-18T03:44:02.268986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0714","created_at":"2026-05-18T03:44:02.268986+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NJOUX5DK2QC","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NJOUX5DK2QCFC5M","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NJOUX5D","created_at":"2026-05-18T12:26:56.085431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65","json":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65.json","graph_json":"https://pith.science/api/pith-number/6NJOUX5DK2QCFC5MXV23TZQD65/graph.json","events_json":"https://pith.science/api/pith-number/6NJOUX5DK2QCFC5MXV23TZQD65/events.json","paper":"https://pith.science/paper/6NJOUX5D"},"agent_actions":{"view_html":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65","download_json":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65.json","view_paper":"https://pith.science/paper/6NJOUX5D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.0714&json=true","fetch_graph":"https://pith.science/api/pith-number/6NJOUX5DK2QCFC5MXV23TZQD65/graph.json","fetch_events":"https://pith.science/api/pith-number/6NJOUX5DK2QCFC5MXV23TZQD65/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65/action/storage_attestation","attest_author":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65/action/author_attestation","sign_citation":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65/action/citation_signature","submit_replication":"https://pith.science/pith/6NJOUX5DK2QCFC5MXV23TZQD65/action/replication_record"}},"created_at":"2026-05-18T03:44:02.268986+00:00","updated_at":"2026-05-18T03:44:02.268986+00:00"}