{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7KNN4JJ5MNKBDNIYYRG7SORFKC","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":"d52f2d86bc3e281f30fdf960e5434977c8b9ce545234d5e0857a49b1b8c9a3d8","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-24T18:11:25Z","title_canon_sha256":"60625e4a9b60a01c173d31c23adfc4bcc6986e484b8815796b0314de72e1ceed"},"schema_version":"1.0","source":{"id":"1407.6673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.6673","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1407.6673v2","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.6673","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"7KNN4JJ5MNKB","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7KNN4JJ5MNKBDNIY","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7KNN4JJ5","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:cc2d4dff4aee87499bbdb165e4f223cdc0e3cb7bdd21c620ca9f2d7e56a7d1e3","target":"graph","created_at":"2026-05-18T01:19:44Z","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 characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properties are equivalent.","authors_text":"Armin Rainer, Gerhard Schindl","cross_cats":["math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-24T18:11:25Z","title":"Equivalence of stability properties for ultradifferentiable function classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6673","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:aea4671a42c617800a2d3f25f9897e6b31de484ba35ac319c950e2aa705ba839","target":"record","created_at":"2026-05-18T01:19:44Z","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":"d52f2d86bc3e281f30fdf960e5434977c8b9ce545234d5e0857a49b1b8c9a3d8","cross_cats_sorted":["math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-24T18:11:25Z","title_canon_sha256":"60625e4a9b60a01c173d31c23adfc4bcc6986e484b8815796b0314de72e1ceed"},"schema_version":"1.0","source":{"id":"1407.6673","kind":"arxiv","version":2}},"canonical_sha256":"fa9ade253d635411b518c44df93a2550b43bd8a37f98dcc6415781c93af074ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa9ade253d635411b518c44df93a2550b43bd8a37f98dcc6415781c93af074ad","first_computed_at":"2026-05-18T01:19:44.788511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:44.788511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5af7T2vTVYFxUFr0G/j2EaRxVPqF7Pl218J5cmhz6kiAAuhFCbf8VEV+LTQ5k+5CdUPP5z+cxNa1fKGwUfnABA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:44.789090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.6673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aea4671a42c617800a2d3f25f9897e6b31de484ba35ac319c950e2aa705ba839","sha256:cc2d4dff4aee87499bbdb165e4f223cdc0e3cb7bdd21c620ca9f2d7e56a7d1e3"],"state_sha256":"d2c4a48c644db4924be7edc1b440271db4269968519c314c9de6985a9dd91e70"}