{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UYCB6L5TZ6R752F2MJGNV7ZZUD","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":"fbf93bae2ee0a19e88251a85539643bec24493d2b2aeb46d2dd4e5bdadb7a3e8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-24T12:35:48Z","title_canon_sha256":"e8f2428d6c5fc9638dbc06764d4719a775d0355a7dacd8a94047a33397ee5591"},"schema_version":"1.0","source":{"id":"2311.14442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.14442","created_at":"2026-07-05T07:16:18Z"},{"alias_kind":"arxiv_version","alias_value":"2311.14442v1","created_at":"2026-07-05T07:16:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.14442","created_at":"2026-07-05T07:16:18Z"},{"alias_kind":"pith_short_12","alias_value":"UYCB6L5TZ6R7","created_at":"2026-07-05T07:16:18Z"},{"alias_kind":"pith_short_16","alias_value":"UYCB6L5TZ6R752F2","created_at":"2026-07-05T07:16:18Z"},{"alias_kind":"pith_short_8","alias_value":"UYCB6L5T","created_at":"2026-07-05T07:16:18Z"}],"graph_snapshots":[{"event_id":"sha256:a7298bc199dd5cd40b52765cc8349581c225b5e87ff93059df0724dc614ec497","target":"graph","created_at":"2026-07-05T07:16:18Z","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/2311.14442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\Omega$ be a bounded centrally symmetric domain in $\\mathbb{R}^2$ with analytic boundary $\\partial \\Omega$ and center $c$. Let $\\tau = \\tau(\\Omega)$ be the number of points $p$ on $\\partial \\Omega$ such that the normal line to $\\partial \\Omega$ at $p$ passes through $c$. We show that if $\\tau < 8$ then $\\Omega$ satisfies the Schiffer's conjecture.","authors_text":"Sugata Mondal","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-24T12:35:48Z","title":"A short note on the Schiffer's conjecture for a class of centrally symmetric convex domains in $\\mathbb{R}^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14442","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":"sha256:2978c7eacaf1645c58d9bd6a2a5f86612504771302dc1a4a6d3d4fd02426d0e5","target":"record","created_at":"2026-07-05T07:16:18Z","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":"fbf93bae2ee0a19e88251a85539643bec24493d2b2aeb46d2dd4e5bdadb7a3e8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-24T12:35:48Z","title_canon_sha256":"e8f2428d6c5fc9638dbc06764d4719a775d0355a7dacd8a94047a33397ee5591"},"schema_version":"1.0","source":{"id":"2311.14442","kind":"arxiv","version":1}},"canonical_sha256":"a6041f2fb3cfa3fee8ba624cdaff39a0f7e6cc4c86a25c7fc1d0322b8c4cf856","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6041f2fb3cfa3fee8ba624cdaff39a0f7e6cc4c86a25c7fc1d0322b8c4cf856","first_computed_at":"2026-07-05T07:16:18.473458Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:16:18.473458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ZS91KolR/meHyD3EAjRmjkmSe5pEjf6nLZcNeRcvVEQan7ILiVspT8LhYaIOySW2IX3CkrYNwEupY1ZkKsYAg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:16:18.473867Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.14442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2978c7eacaf1645c58d9bd6a2a5f86612504771302dc1a4a6d3d4fd02426d0e5","sha256:a7298bc199dd5cd40b52765cc8349581c225b5e87ff93059df0724dc614ec497"],"state_sha256":"8fb46cf9ca995fe57e55773710c163d28b943e8f3f2c7d3487b90e642e9fbb57"}