{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:N7RN7GU4EEX4KLGDUVLDJZWCCG","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":"90764ad96c60d8bec477cf392ccbfc0cf7902bd40fb991aaee43b7e8ae83a802","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-11-07T17:22:04Z","title_canon_sha256":"6878574f96a5236da10623f1d39d45650fd4fe078c6789441913c191eafb38a2"},"schema_version":"1.0","source":{"id":"1811.03025","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.03025","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"1811.03025v1","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.03025","created_at":"2026-05-18T00:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"N7RN7GU4EEX4","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"N7RN7GU4EEX4KLGD","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"N7RN7GU4","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:1465d9657b7c27bb94745b75bbc000ecd14268045fde64e44b8e95e17447cc8a","target":"graph","created_at":"2026-05-18T00:01:20Z","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 compute the extremal plurisubharmonic function of the real torus viewed as a compact subset of its natural algebraic complexification.","authors_text":"Federico Piazzon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-11-07T17:22:04Z","title":"The extremal plurisubharmonic function of the torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.03025","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":"sha256:7b2da46509c0a76c0f0c75f81fdd88025e7aa52506366139607dc67aec197852","target":"record","created_at":"2026-05-18T00:01:20Z","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":"90764ad96c60d8bec477cf392ccbfc0cf7902bd40fb991aaee43b7e8ae83a802","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-11-07T17:22:04Z","title_canon_sha256":"6878574f96a5236da10623f1d39d45650fd4fe078c6789441913c191eafb38a2"},"schema_version":"1.0","source":{"id":"1811.03025","kind":"arxiv","version":1}},"canonical_sha256":"6fe2df9a9c212fc52cc3a55634e6c2118ed185f32de702da19ba3e32341d7831","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fe2df9a9c212fc52cc3a55634e6c2118ed185f32de702da19ba3e32341d7831","first_computed_at":"2026-05-18T00:01:20.106991Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:20.106991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L70c6u87BRIyTgoYv4cYW+V4rEGMuaokm5Xw5BbNs3k55xs9OoNLvHIL3pIQ2jk7GRkFCjXUnTW8DWbXtOliCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:20.107456Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.03025","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b2da46509c0a76c0f0c75f81fdd88025e7aa52506366139607dc67aec197852","sha256:1465d9657b7c27bb94745b75bbc000ecd14268045fde64e44b8e95e17447cc8a"],"state_sha256":"8ab7ac6f1e5ac9fda52bdab7d228932da810302f98ec1ac9fcbedfa4e3635066"}