{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:7FE7VYLCAYMZ2OIGCSXFZ3TPWU","short_pith_number":"pith:7FE7VYLC","canonical_record":{"source":{"id":"2107.14786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-07-30T17:45:46Z","cross_cats_sorted":[],"title_canon_sha256":"989948abab027c721be1f0da02c73775ba655a47cb60a9b702e78d434ee2bcf2","abstract_canon_sha256":"4352444889c9d6ca42ec6d9023c6b73cce830fd31459096f2346890c1fd3ed76"},"schema_version":"1.0"},"canonical_sha256":"f949fae16206199d390614ae5cee6fb51bb074291ff2c43fbf61ba84236646b0","source":{"kind":"arxiv","id":"2107.14786","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.14786","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"2107.14786v1","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14786","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"7FE7VYLCAYMZ","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_16","alias_value":"7FE7VYLCAYMZ2OIG","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_8","alias_value":"7FE7VYLC","created_at":"2026-07-05T03:02:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:7FE7VYLCAYMZ2OIGCSXFZ3TPWU","target":"record","payload":{"canonical_record":{"source":{"id":"2107.14786","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-07-30T17:45:46Z","cross_cats_sorted":[],"title_canon_sha256":"989948abab027c721be1f0da02c73775ba655a47cb60a9b702e78d434ee2bcf2","abstract_canon_sha256":"4352444889c9d6ca42ec6d9023c6b73cce830fd31459096f2346890c1fd3ed76"},"schema_version":"1.0"},"canonical_sha256":"f949fae16206199d390614ae5cee6fb51bb074291ff2c43fbf61ba84236646b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:02:04.384745Z","signature_b64":"s6JP0s1raYp6EH0S9dKprK0rLjynEP3A7QllC6DVXYNGqjeryVUhOHv3jduw09rIK5d+HusD54RhBItLNhuuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f949fae16206199d390614ae5cee6fb51bb074291ff2c43fbf61ba84236646b0","last_reissued_at":"2026-07-05T03:02:04.384383Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:02:04.384383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.14786","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":"2026-07-05T03:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Kk8k+QgumUA869da64LpE3wVPSCjtjZl5I8V5Q25zbDQiP7B0SGNAJT2YbtINaVLQQmUMM+Scz7jbX15luHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:37:41.388682Z"},"content_sha256":"3ce2142f8bd72d8dbaa0cb7065900e9fbac1e004a8ac4ff8edcd973b6c827f86","schema_version":"1.0","event_id":"sha256:3ce2142f8bd72d8dbaa0cb7065900e9fbac1e004a8ac4ff8edcd973b6c827f86"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:7FE7VYLCAYMZ2OIGCSXFZ3TPWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal hypersurfaces with cylindrical tangent cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"G\\'abor Sz\\'ekelyhidi","submitted_at":"2021-07-30T17:45:46Z","abstract_excerpt":"First we construct minimal hypersurfaces $M\\subset\\mathbf{R}^{n+1}$ in a neighborhood of the origin, with an isolated singularity but cylindrical tangent cone $C\\times \\mathbf{R}$, for any strictly minimizing strictly stable cone $C$ in $\\mathbf{R}^n$. We show that many of these hypersurfaces are area minimizing. Next, we prove a strong unique continuation result for minimal hypersurfaces $V$ with such a cylindrical tangent cone, stating that if the blowups of $V$ centered at the origin approach $C\\times \\mathbf{R}$ at infinite order, then $V = C\\times\\mathbf{R}$ in a neighborhood of the origi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14786","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/2107.14786/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":"2026-07-05T03:02:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eOmw7suqKAFSuCUTijHnaKukv3vWoaqTJhAZQlPo5csY+wDozEbL6Cm4TZjlZbAmJGbB7S7oxAZvQl7xv2wQAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:37:41.389562Z"},"content_sha256":"ef82fe0f28f3fd03f64800d38ae3c0aa4403b76ba7ef09c9d19b1c750445d52b","schema_version":"1.0","event_id":"sha256:ef82fe0f28f3fd03f64800d38ae3c0aa4403b76ba7ef09c9d19b1c750445d52b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/bundle.json","state_url":"https://pith.science/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/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":"2026-08-11T21:37:41Z","links":{"resolver":"https://pith.science/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU","bundle":"https://pith.science/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/bundle.json","state":"https://pith.science/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FE7VYLCAYMZ2OIGCSXFZ3TPWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:7FE7VYLCAYMZ2OIGCSXFZ3TPWU","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":"4352444889c9d6ca42ec6d9023c6b73cce830fd31459096f2346890c1fd3ed76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-07-30T17:45:46Z","title_canon_sha256":"989948abab027c721be1f0da02c73775ba655a47cb60a9b702e78d434ee2bcf2"},"schema_version":"1.0","source":{"id":"2107.14786","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.14786","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"arxiv_version","alias_value":"2107.14786v1","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14786","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_12","alias_value":"7FE7VYLCAYMZ","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_16","alias_value":"7FE7VYLCAYMZ2OIG","created_at":"2026-07-05T03:02:04Z"},{"alias_kind":"pith_short_8","alias_value":"7FE7VYLC","created_at":"2026-07-05T03:02:04Z"}],"graph_snapshots":[{"event_id":"sha256:ef82fe0f28f3fd03f64800d38ae3c0aa4403b76ba7ef09c9d19b1c750445d52b","target":"graph","created_at":"2026-07-05T03:02:04Z","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/2107.14786/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"First we construct minimal hypersurfaces $M\\subset\\mathbf{R}^{n+1}$ in a neighborhood of the origin, with an isolated singularity but cylindrical tangent cone $C\\times \\mathbf{R}$, for any strictly minimizing strictly stable cone $C$ in $\\mathbf{R}^n$. We show that many of these hypersurfaces are area minimizing. Next, we prove a strong unique continuation result for minimal hypersurfaces $V$ with such a cylindrical tangent cone, stating that if the blowups of $V$ centered at the origin approach $C\\times \\mathbf{R}$ at infinite order, then $V = C\\times\\mathbf{R}$ in a neighborhood of the origi","authors_text":"G\\'abor Sz\\'ekelyhidi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-07-30T17:45:46Z","title":"Minimal hypersurfaces with cylindrical tangent cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14786","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":"sha256:3ce2142f8bd72d8dbaa0cb7065900e9fbac1e004a8ac4ff8edcd973b6c827f86","target":"record","created_at":"2026-07-05T03:02:04Z","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":"4352444889c9d6ca42ec6d9023c6b73cce830fd31459096f2346890c1fd3ed76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-07-30T17:45:46Z","title_canon_sha256":"989948abab027c721be1f0da02c73775ba655a47cb60a9b702e78d434ee2bcf2"},"schema_version":"1.0","source":{"id":"2107.14786","kind":"arxiv","version":1}},"canonical_sha256":"f949fae16206199d390614ae5cee6fb51bb074291ff2c43fbf61ba84236646b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f949fae16206199d390614ae5cee6fb51bb074291ff2c43fbf61ba84236646b0","first_computed_at":"2026-07-05T03:02:04.384383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:02:04.384383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s6JP0s1raYp6EH0S9dKprK0rLjynEP3A7QllC6DVXYNGqjeryVUhOHv3jduw09rIK5d+HusD54RhBItLNhuuDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:02:04.384745Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.14786","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ce2142f8bd72d8dbaa0cb7065900e9fbac1e004a8ac4ff8edcd973b6c827f86","sha256:ef82fe0f28f3fd03f64800d38ae3c0aa4403b76ba7ef09c9d19b1c750445d52b"],"state_sha256":"4b3c5e453d691924f057feca534fb40f9c73e0e9224ef50c472eebff00319973"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DJVSi8UebAvGOAtYafCJbE6oD8OuMHCX10WafWN8NK3bxwa5QqNtDNlGJKEeO1Uoqbh6eGSpjvrhxUQRlBnLAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:37:41.468406Z","bundle_sha256":"f746c3aeb5459c81866567164ab7ebde2720ed802ba1cb58c1f1e960b57e1cd8"}}