{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2ZMA5ALU46Y2U6LCWV6LOWZ6QP","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":"08027ec9c3d9ea9af9bc2038a9bc6426d3354588a4274adab5c8e0ec3d37bb5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-01T22:04:37Z","title_canon_sha256":"716d0ef10c09a9f3636021a8426b4163b4cdc16605ba0fc22948acca8b021789"},"schema_version":"1.0","source":{"id":"1906.00301","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.00301","created_at":"2026-07-05T02:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1906.00301v3","created_at":"2026-07-05T02:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.00301","created_at":"2026-07-05T02:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"2ZMA5ALU46Y2","created_at":"2026-07-05T02:54:09Z"},{"alias_kind":"pith_short_16","alias_value":"2ZMA5ALU46Y2U6LC","created_at":"2026-07-05T02:54:09Z"},{"alias_kind":"pith_short_8","alias_value":"2ZMA5ALU","created_at":"2026-07-05T02:54:09Z"}],"graph_snapshots":[{"event_id":"sha256:4b9e710c09abaf213c0083216b2e7396de2fb176dc79049c063b83f52a453e09","target":"graph","created_at":"2026-07-05T02:54:09Z","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/1906.00301/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop in this article flattening techniques for coherent sheaves in the realm of Berkovich spaces; we are inspired by the general strategy that Raynaud and Gruson have used for dealing with the analogous problem in scheme theory. As an application, we give a general description of the image of an arbitrary morphism between compact analytic spaces.","authors_text":"Antoine Ducros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-01T22:04:37Z","title":"D\\'evisser, d\\'ecouper, \\'eclater et aplatir les espaces de Berkovich"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.00301","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:b1e03d89729cfc7be34001393d255b0525641150f1ad1e36ab486335ff5a55f7","target":"record","created_at":"2026-07-05T02:54:09Z","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":"08027ec9c3d9ea9af9bc2038a9bc6426d3354588a4274adab5c8e0ec3d37bb5e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-06-01T22:04:37Z","title_canon_sha256":"716d0ef10c09a9f3636021a8426b4163b4cdc16605ba0fc22948acca8b021789"},"schema_version":"1.0","source":{"id":"1906.00301","kind":"arxiv","version":3}},"canonical_sha256":"d6580e8174e7b1aa7962b57cb75b3e83d2efb071089da9d3ba231a6ca93ba261","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6580e8174e7b1aa7962b57cb75b3e83d2efb071089da9d3ba231a6ca93ba261","first_computed_at":"2026-07-05T02:54:09.863739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:54:09.863739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j+pBsFfspphChAfz6D4HirQ/R1Y9rlMyBztEMaTDYzalMIxGrBxWpJkXfWlTKyjmAgju7Or8gdcS77SOSdanCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:54:09.864271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.00301","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1e03d89729cfc7be34001393d255b0525641150f1ad1e36ab486335ff5a55f7","sha256:4b9e710c09abaf213c0083216b2e7396de2fb176dc79049c063b83f52a453e09"],"state_sha256":"f19e6decf02e8dfe10f4e35eb939b6bd532ca7da5ffe781000ae3cfe3c976f4f"}