{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3EBDQLR74CQQU6WWMQUPTWMUDT","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":"21c2fa148323d482cc257c53b68a0fb6cefd730414137922a8818ae801e0a302","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-04T07:11:42Z","title_canon_sha256":"669ae70e5faf871c138bf17844550864200881cec2cea2cf38d27247aa704191"},"schema_version":"1.0","source":{"id":"1710.01484","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01484","created_at":"2026-07-05T03:09:14Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01484v2","created_at":"2026-07-05T03:09:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01484","created_at":"2026-07-05T03:09:14Z"},{"alias_kind":"pith_short_12","alias_value":"3EBDQLR74CQQ","created_at":"2026-07-05T03:09:14Z"},{"alias_kind":"pith_short_16","alias_value":"3EBDQLR74CQQU6WW","created_at":"2026-07-05T03:09:14Z"},{"alias_kind":"pith_short_8","alias_value":"3EBDQLR7","created_at":"2026-07-05T03:09:14Z"}],"graph_snapshots":[{"event_id":"sha256:b909b2d4c315f7c67de43d887c77f7e8270bf597fc132c991e733ca2b5fd5483","target":"graph","created_at":"2026-07-05T03:09:14Z","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/1710.01484/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend Langton's valuative criterion for families of coherent algebraic sheaves to a complex analytic set-up. As a consequence we derive a set of sufficient conditions for the compactness of a moduli space of semistable sheaves over a compact complex manifold. This applies also to some cases appearing in complex projective geometry not covered by previous results.","authors_text":"Matei Toma","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-04T07:11:42Z","title":"Properness criteria for families of coherent analytic sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01484","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":"sha256:2d5cb68a672ed809bddae1929320804e3ceb63d71c9232e6fad70f849868541a","target":"record","created_at":"2026-07-05T03:09:14Z","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":"21c2fa148323d482cc257c53b68a0fb6cefd730414137922a8818ae801e0a302","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-04T07:11:42Z","title_canon_sha256":"669ae70e5faf871c138bf17844550864200881cec2cea2cf38d27247aa704191"},"schema_version":"1.0","source":{"id":"1710.01484","kind":"arxiv","version":2}},"canonical_sha256":"d902382e3fe0a10a7ad66428f9d9941cebd208d6d6462d7588db4e84ecfed2a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d902382e3fe0a10a7ad66428f9d9941cebd208d6d6462d7588db4e84ecfed2a6","first_computed_at":"2026-07-05T03:09:14.268143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:09:14.268143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2m5j5CVFvwNp9yQXch1oLL2ni29GLFty1rpDCCjc0KQwEyp+2byMkvCqnDFG3wArReUMsj5NFyqAq3wosLmYAg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:09:14.268562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01484","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d5cb68a672ed809bddae1929320804e3ceb63d71c9232e6fad70f849868541a","sha256:b909b2d4c315f7c67de43d887c77f7e8270bf597fc132c991e733ca2b5fd5483"],"state_sha256":"83a0db3944d2b1c1f20fa03c1abc5252d65570a24f6c5502be8623af607800b7"}