{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SSMZAKWCKHD3IVV2YUYTEOUJY2","short_pith_number":"pith:SSMZAKWC","canonical_record":{"source":{"id":"1811.11463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-28T09:42:50Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"41909efd2f856a744437646c95672970ae7a8a0601c53629548321a65dc24a15","abstract_canon_sha256":"ca0667510dd08b7dc03e24505db462c6b037f648f1ef484711ea0dc25489d893"},"schema_version":"1.0"},"canonical_sha256":"9499902ac251c7b456bac531323a89c680dfa50fd85395e8c9e843de16087c2d","source":{"kind":"arxiv","id":"1811.11463","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11463","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11463v1","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11463","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"SSMZAKWCKHD3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SSMZAKWCKHD3IVV2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SSMZAKWC","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SSMZAKWCKHD3IVV2YUYTEOUJY2","target":"record","payload":{"canonical_record":{"source":{"id":"1811.11463","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-28T09:42:50Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"41909efd2f856a744437646c95672970ae7a8a0601c53629548321a65dc24a15","abstract_canon_sha256":"ca0667510dd08b7dc03e24505db462c6b037f648f1ef484711ea0dc25489d893"},"schema_version":"1.0"},"canonical_sha256":"9499902ac251c7b456bac531323a89c680dfa50fd85395e8c9e843de16087c2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:41.043060Z","signature_b64":"2TNr3WRGiygofH6AeND0241V9EQHAzfhFu67VALnvjEMBuc6jmK679NOmsIiAJYt4Qtn5iwWUpu/5QGSp6XuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9499902ac251c7b456bac531323a89c680dfa50fd85395e8c9e843de16087c2d","last_reissued_at":"2026-05-17T23:59:41.042449Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:41.042449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.11463","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":"2026-05-17T23:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f4jD5JvjNxi6Em8kvg66YR2HHZ050HrcWesZwt9bhKLreaNbIZY1z6p5PteRVpjzPKidb+b41tRVgoUvl7BLDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:54:23.151034Z"},"content_sha256":"010b3180b64cbf85dc751f5bf82229eefb12237e8e9e2a5bf94db9f080ca4431","schema_version":"1.0","event_id":"sha256:010b3180b64cbf85dc751f5bf82229eefb12237e8e9e2a5bf94db9f080ca4431"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SSMZAKWCKHD3IVV2YUYTEOUJY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypersurfaces of Euclidean space with prescribed boundary and small Steklov eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SP","authors_text":"Alexandre Girouard, Antoine M\\'etras, Bruno Colbois","submitted_at":"2018-11-28T09:42:50Z","abstract_excerpt":"Given a smooth compact hypersurface $M$ with boundary $\\Sigma=\\partial M$, we prove the existence of a sequence $M_j$ of hypersurfaces with the same boundary as $M$, such that each Steklov eigenvalue $\\sigma_k(M_j)$ tends to zero as $j$ tends to infinity. The hypersurfaces $M_j$ are obtained from $M$ by a local perturbation near a point of its boundary. Their volumes and diameters are arbitrarily close to those of $M$, while the principal curvatures of the boundary remain unchanged."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11463","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":""},"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":"2026-05-17T23:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMuTxAl1uSyfs+qxK4Zg8+LmEG3B5E3x3vxlP/fxmB0SruOp3ouTC9Xg/mCt5Om7dJ2vsIZFD2pxZCYZyKM4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:54:23.151394Z"},"content_sha256":"17a5d828a00e2d0b8936c1a588a88e169c792cbb30a1f25d41d10409b93aae81","schema_version":"1.0","event_id":"sha256:17a5d828a00e2d0b8936c1a588a88e169c792cbb30a1f25d41d10409b93aae81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/bundle.json","state_url":"https://pith.science/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/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":"2026-05-31T00:54:23Z","links":{"resolver":"https://pith.science/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2","bundle":"https://pith.science/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/bundle.json","state":"https://pith.science/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSMZAKWCKHD3IVV2YUYTEOUJY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SSMZAKWCKHD3IVV2YUYTEOUJY2","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":"ca0667510dd08b7dc03e24505db462c6b037f648f1ef484711ea0dc25489d893","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-28T09:42:50Z","title_canon_sha256":"41909efd2f856a744437646c95672970ae7a8a0601c53629548321a65dc24a15"},"schema_version":"1.0","source":{"id":"1811.11463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.11463","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1811.11463v1","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.11463","created_at":"2026-05-17T23:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"SSMZAKWCKHD3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SSMZAKWCKHD3IVV2","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SSMZAKWC","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:17a5d828a00e2d0b8936c1a588a88e169c792cbb30a1f25d41d10409b93aae81","target":"graph","created_at":"2026-05-17T23:59:41Z","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":"Given a smooth compact hypersurface $M$ with boundary $\\Sigma=\\partial M$, we prove the existence of a sequence $M_j$ of hypersurfaces with the same boundary as $M$, such that each Steklov eigenvalue $\\sigma_k(M_j)$ tends to zero as $j$ tends to infinity. The hypersurfaces $M_j$ are obtained from $M$ by a local perturbation near a point of its boundary. Their volumes and diameters are arbitrarily close to those of $M$, while the principal curvatures of the boundary remain unchanged.","authors_text":"Alexandre Girouard, Antoine M\\'etras, Bruno Colbois","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-28T09:42:50Z","title":"Hypersurfaces of Euclidean space with prescribed boundary and small Steklov eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.11463","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":"sha256:010b3180b64cbf85dc751f5bf82229eefb12237e8e9e2a5bf94db9f080ca4431","target":"record","created_at":"2026-05-17T23:59:41Z","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":"ca0667510dd08b7dc03e24505db462c6b037f648f1ef484711ea0dc25489d893","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2018-11-28T09:42:50Z","title_canon_sha256":"41909efd2f856a744437646c95672970ae7a8a0601c53629548321a65dc24a15"},"schema_version":"1.0","source":{"id":"1811.11463","kind":"arxiv","version":1}},"canonical_sha256":"9499902ac251c7b456bac531323a89c680dfa50fd85395e8c9e843de16087c2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9499902ac251c7b456bac531323a89c680dfa50fd85395e8c9e843de16087c2d","first_computed_at":"2026-05-17T23:59:41.042449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:41.042449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2TNr3WRGiygofH6AeND0241V9EQHAzfhFu67VALnvjEMBuc6jmK679NOmsIiAJYt4Qtn5iwWUpu/5QGSp6XuCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:41.043060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.11463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:010b3180b64cbf85dc751f5bf82229eefb12237e8e9e2a5bf94db9f080ca4431","sha256:17a5d828a00e2d0b8936c1a588a88e169c792cbb30a1f25d41d10409b93aae81"],"state_sha256":"a988458f548ee23dbdcfb9ab547c89d27503058696e38bd0a218634cb3eedc61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v9VmtdBNGr5KAPer4SelKzcAv+zSNOill+G6HfmmaEzmhiRFP0Vh1JPT3w4xDsdB5Gcv5GjDToown1lXnvDHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:54:23.153833Z","bundle_sha256":"1054d3ff593be6d2891898d6d0c4c15287baa43fff0b37f7559cee1b2e73e7c4"}}