{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K5UB43KJT5PYWOPALAABQEZBX4","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":"8e9b3d874d18bd668cd65c853eff37775e5473404317ea719328d82541842ccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-12T11:43:38Z","title_canon_sha256":"b4be53b08a8e421bfd0e5fe07c1db15b7c529284025228bd98653064ca30ced6"},"schema_version":"1.0","source":{"id":"1902.04339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04339","created_at":"2026-07-05T01:07:24Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04339v1","created_at":"2026-07-05T01:07:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04339","created_at":"2026-07-05T01:07:24Z"},{"alias_kind":"pith_short_12","alias_value":"K5UB43KJT5PY","created_at":"2026-07-05T01:07:24Z"},{"alias_kind":"pith_short_16","alias_value":"K5UB43KJT5PYWOPA","created_at":"2026-07-05T01:07:24Z"},{"alias_kind":"pith_short_8","alias_value":"K5UB43KJ","created_at":"2026-07-05T01:07:24Z"}],"graph_snapshots":[{"event_id":"sha256:e4d3b5562b972f33846e67532bd2087bb022458872d7548e7550ee0f03503422","target":"graph","created_at":"2026-07-05T01:07:24Z","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/1902.04339/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the behavior of Gevrey solution spaces of the system.","authors_text":"Christine Berkesch, Mar\\'ia-Cruz Fern\\'andez-Fern\\'andez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-12T11:43:38Z","title":"Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04339","kind":"arxiv","version":1},"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:d7e03aa86fcd75042b34098b880ab8eb5321ae21f7e7ebcb5fad61d7da6c4a68","target":"record","created_at":"2026-07-05T01:07:24Z","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":"8e9b3d874d18bd668cd65c853eff37775e5473404317ea719328d82541842ccf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-02-12T11:43:38Z","title_canon_sha256":"b4be53b08a8e421bfd0e5fe07c1db15b7c529284025228bd98653064ca30ced6"},"schema_version":"1.0","source":{"id":"1902.04339","kind":"arxiv","version":1}},"canonical_sha256":"57681e6d499f5f8b39e05800181321bf30ee4d18cca4a25f112ceb75f282ea6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57681e6d499f5f8b39e05800181321bf30ee4d18cca4a25f112ceb75f282ea6a","first_computed_at":"2026-07-05T01:07:24.696655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:07:24.696655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uov8Uy4ywk/PQOtfd4C91T3qNjfxlZ/pXVpN1FULgmSGgY0LOCeXGCv6gdYkBSJy5KVZDftiiuzAZDDr1SggAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:07:24.697120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7e03aa86fcd75042b34098b880ab8eb5321ae21f7e7ebcb5fad61d7da6c4a68","sha256:e4d3b5562b972f33846e67532bd2087bb022458872d7548e7550ee0f03503422"],"state_sha256":"ce761481c27149abb9e393045b2cd4be59fecc26fa4a2fdd52775afbf829abb5"}