{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:JBPUNRRQKJU5CPQD6TJGBFEABK","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":"f1f3ccbf7e3a75a3ce22eb80734632159452c928f3a223d9881f592debe7d70f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-12-26T13:57:54Z","title_canon_sha256":"70a3126a32a2b11da75620fd5f6c147039d3854969281554117449f5d93baec9"},"schema_version":"1.0","source":{"id":"0812.4678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4678","created_at":"2026-05-18T04:41:14Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4678v1","created_at":"2026-05-18T04:41:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4678","created_at":"2026-05-18T04:41:14Z"},{"alias_kind":"pith_short_12","alias_value":"JBPUNRRQKJU5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"JBPUNRRQKJU5CPQD","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"JBPUNRRQ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:a10e4479e7f2384ae7a05ba2fafa226cffaa416b7440f9f111f9f54134529363","target":"graph","created_at":"2026-05-18T04:41:14Z","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"},"paper":{"abstract_excerpt":"We present an elementary proof of the cross theorem in the case of Reinhardt domains. The results illustrates the well-known interrelations between the holomorphic geometry of a Reinhardt domain and the convex geometry of its logarithmic image.","authors_text":"Marek Jarnicki, Peter Pflug","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-12-26T13:57:54Z","title":"An elementary proof of the cross theorem in the Reinhardt case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4678","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":"sha256:318ef049831f929bdb5a838d6ff78e1411fbe851ae46e48fba09d0a444f75c61","target":"record","created_at":"2026-05-18T04:41:14Z","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":"f1f3ccbf7e3a75a3ce22eb80734632159452c928f3a223d9881f592debe7d70f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-12-26T13:57:54Z","title_canon_sha256":"70a3126a32a2b11da75620fd5f6c147039d3854969281554117449f5d93baec9"},"schema_version":"1.0","source":{"id":"0812.4678","kind":"arxiv","version":1}},"canonical_sha256":"485f46c6305269d13e03f4d26094800a9b57ad807b29a9fe12379b2b6532eb5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"485f46c6305269d13e03f4d26094800a9b57ad807b29a9fe12379b2b6532eb5d","first_computed_at":"2026-05-18T04:41:14.280545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:14.280545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PNethHvppWYuIfSLvcq/1KVP6xvZ3KF4l1xgFlMhe8GYzJ3Dqd5SrhJKCCFX5x/73GZvIVcKkrahNAbXL6E3Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:14.281107Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.4678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:318ef049831f929bdb5a838d6ff78e1411fbe851ae46e48fba09d0a444f75c61","sha256:a10e4479e7f2384ae7a05ba2fafa226cffaa416b7440f9f111f9f54134529363"],"state_sha256":"d47769521a91674e1a029137143d955ade44b444ae3b5fcd9b879d2f48218441"}