{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SSPAGMSZVWRZXRZTLWO4AJJAFC","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":"e3697ef77e6269a25a3f6230562783bf3c191991c77d89d27b9c71b1c30ce054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-08T08:12:09Z","title_canon_sha256":"7bead3f605a878d0e326fc4891714d2fdf60818ff35727299f384641de533575"},"schema_version":"1.0","source":{"id":"1604.02268","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02268","created_at":"2026-05-18T01:17:28Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02268v1","created_at":"2026-05-18T01:17:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02268","created_at":"2026-05-18T01:17:28Z"},{"alias_kind":"pith_short_12","alias_value":"SSPAGMSZVWRZ","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SSPAGMSZVWRZXRZT","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SSPAGMSZ","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:7670c98a152d1228a200f52c078327cc73c03fa4d36cc95bcc2799c2f172ac12","target":"graph","created_at":"2026-05-18T01:17:28Z","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 establish the optimal regularity for the distortion of inverses of mappings of finite distortion with logarithm-iterated style subexponentially integrable distortion, which generalizes the Theorem 1. of [J. Gill, Ann. Acad. Sci. Fenn. Math. 35 (2010), no. 1, 197--207].","authors_text":"Haiqing Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-08T08:12:09Z","title":"Planar mappings of subexponentially integrable distortion -- integrability of distortion of inverses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02268","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:fc7f626352e3926975fd5df0692b2ed520496ac7f03fd3df6aa37dc923b5209b","target":"record","created_at":"2026-05-18T01:17:28Z","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":"e3697ef77e6269a25a3f6230562783bf3c191991c77d89d27b9c71b1c30ce054","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-04-08T08:12:09Z","title_canon_sha256":"7bead3f605a878d0e326fc4891714d2fdf60818ff35727299f384641de533575"},"schema_version":"1.0","source":{"id":"1604.02268","kind":"arxiv","version":1}},"canonical_sha256":"949e033259ada39bc7335d9dc0252028851a67f6d3f950e99ddd42a3c697e33e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"949e033259ada39bc7335d9dc0252028851a67f6d3f950e99ddd42a3c697e33e","first_computed_at":"2026-05-18T01:17:28.015653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:28.015653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s/xpNpoCzEN0bPXu4t8uMRyxAfuGm+nVmFNaIkqEG8Kw99iihZCDE1Ohk7VBk6b1a84nyYQcGpjRqo2WkMWiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:28.016207Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02268","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc7f626352e3926975fd5df0692b2ed520496ac7f03fd3df6aa37dc923b5209b","sha256:7670c98a152d1228a200f52c078327cc73c03fa4d36cc95bcc2799c2f172ac12"],"state_sha256":"b8d00b7d7c24d6c87716241b3b6a195eb59f85c86f1adaeac566d448f0b6e424"}