{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:RJUXFXTYR3LGCSOD6YQSLL7MRP","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":"5ff09c902c77fdb3bf5e53243cbf6f07fb4fdb990d1ed7f07d15f8d2f85cf490","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-07T10:40:07Z","title_canon_sha256":"6da0f581cb3471c95410d8df040c56fe9bed384d8632ef3125bdffebb3a0624a"},"schema_version":"1.0","source":{"id":"2210.03447","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.03447","created_at":"2026-07-05T05:21:27Z"},{"alias_kind":"arxiv_version","alias_value":"2210.03447v2","created_at":"2026-07-05T05:21:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.03447","created_at":"2026-07-05T05:21:27Z"},{"alias_kind":"pith_short_12","alias_value":"RJUXFXTYR3LG","created_at":"2026-07-05T05:21:27Z"},{"alias_kind":"pith_short_16","alias_value":"RJUXFXTYR3LGCSOD","created_at":"2026-07-05T05:21:27Z"},{"alias_kind":"pith_short_8","alias_value":"RJUXFXTY","created_at":"2026-07-05T05:21:27Z"}],"graph_snapshots":[{"event_id":"sha256:75de64915a0632c2a21685b072a9efda7738bb9946a8804454a3f1b86572c4f4","target":"graph","created_at":"2026-07-05T05:21:27Z","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/2210.03447/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A representation formula for the solution of the $\\infty$-Laplace equation is constructed in a punctured square, the prescribed boundary values being $u=0$ on the sides and $u=1$ at the centre. This so-called $\\infty$-potential is obtained with a hodograph method. The heat equation is used and one of Jacobi's Theta functions appears. The formula disproves a conjecture.","authors_text":"Karl K. Brustad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-07T10:40:07Z","title":"The Infinity-Potential in the Square"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.03447","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":"sha256:2f3c04edd2c2c7ca3de485fd3f677b2d81188e53c484120a17420a1a12d17c05","target":"record","created_at":"2026-07-05T05:21:27Z","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":"5ff09c902c77fdb3bf5e53243cbf6f07fb4fdb990d1ed7f07d15f8d2f85cf490","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-10-07T10:40:07Z","title_canon_sha256":"6da0f581cb3471c95410d8df040c56fe9bed384d8632ef3125bdffebb3a0624a"},"schema_version":"1.0","source":{"id":"2210.03447","kind":"arxiv","version":2}},"canonical_sha256":"8a6972de788ed66149c3f62125afec8bc04196c867aa06310649e1833e590fa8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a6972de788ed66149c3f62125afec8bc04196c867aa06310649e1833e590fa8","first_computed_at":"2026-07-05T05:21:27.616164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:21:27.616164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FNsegUfhjk+Bx77AG4t71EwxWvyTCwcGfdeJ5imewSf96xFZrdb6qgyNeof7rOEoOf71IPFXGiaB/YzV3GqlCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:21:27.616596Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.03447","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f3c04edd2c2c7ca3de485fd3f677b2d81188e53c484120a17420a1a12d17c05","sha256:75de64915a0632c2a21685b072a9efda7738bb9946a8804454a3f1b86572c4f4"],"state_sha256":"5bf0b07557a4b320bbeb1bc466f38ad29165d70c46632d2dc7f9c7ca86437ad1"}