{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DFTJJQUXC74GIW2CHSPMGXN3DI","short_pith_number":"pith:DFTJJQUX","canonical_record":{"source":{"id":"1606.08886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-28T20:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"d0c83e180c86b77e7cb0563d155eabb62add7af8551c10b184d22985f681c416","abstract_canon_sha256":"565d84f79df94d9f35fa565d3382c58486b192b45f5f227f886a81a191469157"},"schema_version":"1.0"},"canonical_sha256":"196694c29717f8645b423c9ec35dbb1a124a5b3876860875577eb4d127e397b0","source":{"kind":"arxiv","id":"1606.08886","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08886","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08886v2","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08886","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"DFTJJQUXC74G","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DFTJJQUXC74GIW2C","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DFTJJQUX","created_at":"2026-05-18T12:30:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DFTJJQUXC74GIW2CHSPMGXN3DI","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08886","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-28T20:54:56Z","cross_cats_sorted":[],"title_canon_sha256":"d0c83e180c86b77e7cb0563d155eabb62add7af8551c10b184d22985f681c416","abstract_canon_sha256":"565d84f79df94d9f35fa565d3382c58486b192b45f5f227f886a81a191469157"},"schema_version":"1.0"},"canonical_sha256":"196694c29717f8645b423c9ec35dbb1a124a5b3876860875577eb4d127e397b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:37.215076Z","signature_b64":"cTOBdHGGhLS7fkJKR/sPZO94YJlGV1K5He2BlHB6YCClVXI+uY/Cj0Zilzn9tVDg9zkBnNVa6S45Q6vAg02ABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"196694c29717f8645b423c9ec35dbb1a124a5b3876860875577eb4d127e397b0","last_reissued_at":"2026-05-18T01:11:37.214710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:37.214710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08886","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O95Jzemfj6S+gu+TrQKdgl15okbzYKLtf+AWM8PrW5H4qDGth3Ts1U52ooJgG68WMIOBYjVZOvsTZbvnU4vxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:38:00.093038Z"},"content_sha256":"e4eeb4345540bccf7496faa8838aec1aa7207c0dc0e7ca284459d59c01736ee0","schema_version":"1.0","event_id":"sha256:e4eeb4345540bccf7496faa8838aec1aa7207c0dc0e7ca284459d59c01736ee0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DFTJJQUXC74GIW2CHSPMGXN3DI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New examples of higher-dimensional minimal hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Vladimir G. Tkachev, Vladimir V. Sergienko","submitted_at":"2016-06-28T20:54:56Z","abstract_excerpt":"The main results of the paper are Proposition 3 and 4 which provide an effective way to construct minimal hypersurfaces in a Euclidean space. We demonstrate our technique by several new examples. This note is English translation of an earlier draft version written (in Russian) in September 1999. The final version of the paper will be published somewhere else."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08886","kind":"arxiv","version":2},"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":"2026-05-18T01:11:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UNVU8MH3Bxaj6iNlJ8lznp5e4l8szYKFxcma4FdrMeqzD1+x7A/NDCamFO2cXFHTHFG2fTv0/9eZQS1IW/PUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:38:00.093402Z"},"content_sha256":"1cf0257726bd02980536993af9400eed8961ee7ea563d3a4f2e1357798d9a196","schema_version":"1.0","event_id":"sha256:1cf0257726bd02980536993af9400eed8961ee7ea563d3a4f2e1357798d9a196"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/bundle.json","state_url":"https://pith.science/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/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":"2026-06-03T02:38:00Z","links":{"resolver":"https://pith.science/pith/DFTJJQUXC74GIW2CHSPMGXN3DI","bundle":"https://pith.science/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/bundle.json","state":"https://pith.science/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFTJJQUXC74GIW2CHSPMGXN3DI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DFTJJQUXC74GIW2CHSPMGXN3DI","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":"565d84f79df94d9f35fa565d3382c58486b192b45f5f227f886a81a191469157","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-28T20:54:56Z","title_canon_sha256":"d0c83e180c86b77e7cb0563d155eabb62add7af8551c10b184d22985f681c416"},"schema_version":"1.0","source":{"id":"1606.08886","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08886","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08886v2","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08886","created_at":"2026-05-18T01:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"DFTJJQUXC74G","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DFTJJQUXC74GIW2C","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DFTJJQUX","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:1cf0257726bd02980536993af9400eed8961ee7ea563d3a4f2e1357798d9a196","target":"graph","created_at":"2026-05-18T01:11:37Z","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":"The main results of the paper are Proposition 3 and 4 which provide an effective way to construct minimal hypersurfaces in a Euclidean space. We demonstrate our technique by several new examples. This note is English translation of an earlier draft version written (in Russian) in September 1999. The final version of the paper will be published somewhere else.","authors_text":"Vladimir G. Tkachev, Vladimir V. Sergienko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-28T20:54:56Z","title":"New examples of higher-dimensional minimal hypersurfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08886","kind":"arxiv","version":2},"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:e4eeb4345540bccf7496faa8838aec1aa7207c0dc0e7ca284459d59c01736ee0","target":"record","created_at":"2026-05-18T01:11:37Z","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":"565d84f79df94d9f35fa565d3382c58486b192b45f5f227f886a81a191469157","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-28T20:54:56Z","title_canon_sha256":"d0c83e180c86b77e7cb0563d155eabb62add7af8551c10b184d22985f681c416"},"schema_version":"1.0","source":{"id":"1606.08886","kind":"arxiv","version":2}},"canonical_sha256":"196694c29717f8645b423c9ec35dbb1a124a5b3876860875577eb4d127e397b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"196694c29717f8645b423c9ec35dbb1a124a5b3876860875577eb4d127e397b0","first_computed_at":"2026-05-18T01:11:37.214710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:37.214710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cTOBdHGGhLS7fkJKR/sPZO94YJlGV1K5He2BlHB6YCClVXI+uY/Cj0Zilzn9tVDg9zkBnNVa6S45Q6vAg02ABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:37.215076Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08886","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4eeb4345540bccf7496faa8838aec1aa7207c0dc0e7ca284459d59c01736ee0","sha256:1cf0257726bd02980536993af9400eed8961ee7ea563d3a4f2e1357798d9a196"],"state_sha256":"680a89e523b7c10f061b3dc0fad023c3633159439b2d5e12e833bb6c2c2b6214"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d7o3pzpFRsvzLTgwzcjasLW47AMr9XH1BRu/c0Nd28Fq05m2mb4WAZdJJ3Fxx/1RfGgCap/ooh+MUlLKUXAGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:38:00.095560Z","bundle_sha256":"0284f7d35bb7e775f7c4e5ec52f465727ec2dc21f289cfa304e2ad35d445561b"}}