{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:UYCB6L5TZ6R752F2MJGNV7ZZUD","short_pith_number":"pith:UYCB6L5T","canonical_record":{"source":{"id":"2311.14442","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-24T12:35:48Z","cross_cats_sorted":[],"title_canon_sha256":"e8f2428d6c5fc9638dbc06764d4719a775d0355a7dacd8a94047a33397ee5591","abstract_canon_sha256":"fbf93bae2ee0a19e88251a85539643bec24493d2b2aeb46d2dd4e5bdadb7a3e8"},"schema_version":"1.0"},"canonical_sha256":"a6041f2fb3cfa3fee8ba624cdaff39a0f7e6cc4c86a25c7fc1d0322b8c4cf856","source":{"kind":"arxiv","id":"2311.14442","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:UYCB6L5TZ6R752F2MJGNV7ZZUD","target":"record","payload":{"canonical_record":{"source":{"id":"2311.14442","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-24T12:35:48Z","cross_cats_sorted":[],"title_canon_sha256":"e8f2428d6c5fc9638dbc06764d4719a775d0355a7dacd8a94047a33397ee5591","abstract_canon_sha256":"fbf93bae2ee0a19e88251a85539643bec24493d2b2aeb46d2dd4e5bdadb7a3e8"},"schema_version":"1.0"},"canonical_sha256":"a6041f2fb3cfa3fee8ba624cdaff39a0f7e6cc4c86a25c7fc1d0322b8c4cf856","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:16:18.473867Z","signature_b64":"9ZS91KolR/meHyD3EAjRmjkmSe5pEjf6nLZcNeRcvVEQan7ILiVspT8LhYaIOySW2IX3CkrYNwEupY1ZkKsYAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6041f2fb3cfa3fee8ba624cdaff39a0f7e6cc4c86a25c7fc1d0322b8c4cf856","last_reissued_at":"2026-07-05T07:16:18.473458Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:16:18.473458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.14442","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:16:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h47lOc9a4kjROsNzOdqsmNFU/2nOMs9ZdF4jciK553QN73Cts7bHT2ccZ+dVkCd8iaLBj0DYG/jCugJmmnNSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:25:19.091638Z"},"content_sha256":"2978c7eacaf1645c58d9bd6a2a5f86612504771302dc1a4a6d3d4fd02426d0e5","schema_version":"1.0","event_id":"sha256:2978c7eacaf1645c58d9bd6a2a5f86612504771302dc1a4a6d3d4fd02426d0e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:UYCB6L5TZ6R752F2MJGNV7ZZUD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A short note on the Schiffer's conjecture for a class of centrally symmetric convex domains in $\\mathbb{R}^2$","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Sugata Mondal","submitted_at":"2023-11-24T12:35:48Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14442","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.14442/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:16:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J2hc0GZhFwGk6q1/6x2vxcK21PcyEZ50rvrlDp4CZ0pu80yA2GWRjlDJku9qKdrvAwMdbsKUUkClU3pgEZt4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:25:19.092136Z"},"content_sha256":"a7298bc199dd5cd40b52765cc8349581c225b5e87ff93059df0724dc614ec497","schema_version":"1.0","event_id":"sha256:a7298bc199dd5cd40b52765cc8349581c225b5e87ff93059df0724dc614ec497"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/bundle.json","state_url":"https://pith.science/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T22:25:19Z","links":{"resolver":"https://pith.science/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD","bundle":"https://pith.science/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/bundle.json","state":"https://pith.science/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UYCB6L5TZ6R752F2MJGNV7ZZUD/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0UqaGnb0I55pnytJX6crdyWiKOSzLPivHFkRkl3l4MFT+WpMVA1Hpq8udZqU49sd6KXzg+y6u2FrZVrack0/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T22:25:19.098410Z","bundle_sha256":"a1e7ab8a61492249cbbef4f4804bd50cca613304be87298c142c3147f5e1a212"}}