{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:RNU55KCJXZCHHX3HCHUL4JRYDB","short_pith_number":"pith:RNU55KCJ","canonical_record":{"source":{"id":"2307.07784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-07-15T12:00:52Z","cross_cats_sorted":[],"title_canon_sha256":"aca778c22713aa20f13aff8b63cbc3d3f4fe0e305cc5068e66e7ed1e2b52f0c1","abstract_canon_sha256":"39212c2a9d137a28b7c7b8ddddc0f4f0dd74875a6328c35a43452e3f293d46e5"},"schema_version":"1.0"},"canonical_sha256":"8b69dea849be4473df6711e8be26381867bf1a826f3c2afd060e33b7951c7a83","source":{"kind":"arxiv","id":"2307.07784","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.07784","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"arxiv_version","alias_value":"2307.07784v1","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.07784","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_12","alias_value":"RNU55KCJXZCH","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"RNU55KCJXZCHHX3H","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"RNU55KCJ","created_at":"2026-07-05T06:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:RNU55KCJXZCHHX3HCHUL4JRYDB","target":"record","payload":{"canonical_record":{"source":{"id":"2307.07784","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-07-15T12:00:52Z","cross_cats_sorted":[],"title_canon_sha256":"aca778c22713aa20f13aff8b63cbc3d3f4fe0e305cc5068e66e7ed1e2b52f0c1","abstract_canon_sha256":"39212c2a9d137a28b7c7b8ddddc0f4f0dd74875a6328c35a43452e3f293d46e5"},"schema_version":"1.0"},"canonical_sha256":"8b69dea849be4473df6711e8be26381867bf1a826f3c2afd060e33b7951c7a83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:31:15.609939Z","signature_b64":"C8JZzsIgE6hi6Rab5SCryY/3RSnwdFL7DyGw/WfPSlT2oUCDeVMGh3+7txGQiq4AkwJBWKhyFNkTuhLh362TAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b69dea849be4473df6711e8be26381867bf1a826f3c2afd060e33b7951c7a83","last_reissued_at":"2026-07-05T06:31:15.609473Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:31:15.609473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.07784","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":"2026-07-05T06:31:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PHoq2xNtJh6LVtlo6YVHYKcoNshT8sanmZI4s1ZJdPdFf3CGW/fzRIct3Fsw6w242Pi5QneYEwvmKa+H77CDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:23:08.437029Z"},"content_sha256":"edc7268997eabdb575cace63ac62af09c53e10a41bd8b34c4a527d34b43f201a","schema_version":"1.0","event_id":"sha256:edc7268997eabdb575cace63ac62af09c53e10a41bd8b34c4a527d34b43f201a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:RNU55KCJXZCHHX3HCHUL4JRYDB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ignace Aristide Minlend","submitted_at":"2023-07-15T12:00:52Z","abstract_excerpt":"We prove the existence of nontrivial unbounded domains $\\O$ in the Euclidean space $\\R^d$ for which the Dirichlet eigenvalue problem for the Laplacian on $\\Omega$ admits sign-changing eigenfunctions with constant Neumann values on $\\partial \\Omega$. We also establish a similar result by studying a partially overdetermined problem on domains with two boundary components and opposite Neumann boundary values. The domains we construct are periodic in some variables and radial in the other variables, and they bifurcate from straight (generalized) cylinder or slab."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.07784","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/2307.07784/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":"2026-07-05T06:31:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wQN+XFvVbFAd+HnH8fEMIfUeOXWu0n9vwY+UQ/V6G2SpW5rUDtHPZtGATQ1Dv2o8WkdroSlsI0cbB/+Im4LtDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T22:23:08.437946Z"},"content_sha256":"d4440b85d706ea9a8d594290f33aa9e70d27a778a1ca782ac8de29f077fe8d9d","schema_version":"1.0","event_id":"sha256:d4440b85d706ea9a8d594290f33aa9e70d27a778a1ca782ac8de29f077fe8d9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/bundle.json","state_url":"https://pith.science/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/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":"2026-08-13T22:23:08Z","links":{"resolver":"https://pith.science/pith/RNU55KCJXZCHHX3HCHUL4JRYDB","bundle":"https://pith.science/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/bundle.json","state":"https://pith.science/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RNU55KCJXZCHHX3HCHUL4JRYDB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RNU55KCJXZCHHX3HCHUL4JRYDB","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":"39212c2a9d137a28b7c7b8ddddc0f4f0dd74875a6328c35a43452e3f293d46e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-07-15T12:00:52Z","title_canon_sha256":"aca778c22713aa20f13aff8b63cbc3d3f4fe0e305cc5068e66e7ed1e2b52f0c1"},"schema_version":"1.0","source":{"id":"2307.07784","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.07784","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"arxiv_version","alias_value":"2307.07784v1","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.07784","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_12","alias_value":"RNU55KCJXZCH","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"RNU55KCJXZCHHX3H","created_at":"2026-07-05T06:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"RNU55KCJ","created_at":"2026-07-05T06:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:d4440b85d706ea9a8d594290f33aa9e70d27a778a1ca782ac8de29f077fe8d9d","target":"graph","created_at":"2026-07-05T06:31:15Z","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/2307.07784/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the existence of nontrivial unbounded domains $\\O$ in the Euclidean space $\\R^d$ for which the Dirichlet eigenvalue problem for the Laplacian on $\\Omega$ admits sign-changing eigenfunctions with constant Neumann values on $\\partial \\Omega$. We also establish a similar result by studying a partially overdetermined problem on domains with two boundary components and opposite Neumann boundary values. The domains we construct are periodic in some variables and radial in the other variables, and they bifurcate from straight (generalized) cylinder or slab.","authors_text":"Ignace Aristide Minlend","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-07-15T12:00:52Z","title":"Overdetermined problems with sign-changing eigenfunctions in unbounded periodic domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.07784","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:edc7268997eabdb575cace63ac62af09c53e10a41bd8b34c4a527d34b43f201a","target":"record","created_at":"2026-07-05T06:31:15Z","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":"39212c2a9d137a28b7c7b8ddddc0f4f0dd74875a6328c35a43452e3f293d46e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-07-15T12:00:52Z","title_canon_sha256":"aca778c22713aa20f13aff8b63cbc3d3f4fe0e305cc5068e66e7ed1e2b52f0c1"},"schema_version":"1.0","source":{"id":"2307.07784","kind":"arxiv","version":1}},"canonical_sha256":"8b69dea849be4473df6711e8be26381867bf1a826f3c2afd060e33b7951c7a83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b69dea849be4473df6711e8be26381867bf1a826f3c2afd060e33b7951c7a83","first_computed_at":"2026-07-05T06:31:15.609473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:31:15.609473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C8JZzsIgE6hi6Rab5SCryY/3RSnwdFL7DyGw/WfPSlT2oUCDeVMGh3+7txGQiq4AkwJBWKhyFNkTuhLh362TAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:31:15.609939Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.07784","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edc7268997eabdb575cace63ac62af09c53e10a41bd8b34c4a527d34b43f201a","sha256:d4440b85d706ea9a8d594290f33aa9e70d27a778a1ca782ac8de29f077fe8d9d"],"state_sha256":"22796e62b43ee543755ae01b6918453bbdaab084c426d1576b097f966b8bac38"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rroEfvdDb3nSGurNy8D2qhTKX2clu/98OnGRc+ONHFgLgRjMtiKFr9Mdw2JmxtKkAyU1AJMXZWVgWXwezSFpAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T22:23:08.449214Z","bundle_sha256":"6b2709a53afb1f09fb52f0f5419f53af97e1f619d968bc7aa81f95db03b6a37e"}}