{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GR4EYO2R2MII7EDSQWCLFXY2VW","short_pith_number":"pith:GR4EYO2R","canonical_record":{"source":{"id":"1606.09141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"efb9762e1d849cf62423f520f629d47bed8412a9df2e8253565020f1091c6995","abstract_canon_sha256":"5850b837e15e59ef8e3cf7fdb1b5e997239f738d88d8b8afc80bbad5d511b96a"},"schema_version":"1.0"},"canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","source":{"kind":"arxiv","id":"1606.09141","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09141","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09141v1","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09141","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"GR4EYO2R2MII","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GR4EYO2R2MII7EDS","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GR4EYO2R","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GR4EYO2R2MII7EDSQWCLFXY2VW","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","cross_cats_sorted":[],"title_canon_sha256":"efb9762e1d849cf62423f520f629d47bed8412a9df2e8253565020f1091c6995","abstract_canon_sha256":"5850b837e15e59ef8e3cf7fdb1b5e997239f738d88d8b8afc80bbad5d511b96a"},"schema_version":"1.0"},"canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:41.669863Z","signature_b64":"QsBez8T7ixSl5j7dHJ3v6Ic1W98WeuT7N+gUolc4v9+JNwCUHJMwGh4usWJnH1wTmQFc5cDScqUa4QlkK2pvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","last_reissued_at":"2026-05-18T01:11:41.669522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:41.669522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09141","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":"2026-05-18T01:11:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hGh5FUy7RGe1TmoWQgOXp1x81n8WWnvIoPquS96LV1ozXmaYC2e845q0WBpaS0Skz6EiIunL6sb08lK9W22SCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:33:00.840014Z"},"content_sha256":"4c866a1d6f4b6c8fef376dbc41e3c764d3c7807d4c92b8587a3b20236963987e","schema_version":"1.0","event_id":"sha256:4c866a1d6f4b6c8fef376dbc41e3c764d3c7807d4c92b8587a3b20236963987e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GR4EYO2R2MII7EDSQWCLFXY2VW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jens Hoppe","submitted_at":"2016-06-29T15:04:21Z","abstract_excerpt":"Observing a linear superposition principle, a family of new minimal hypersurfaces in Euclidean space is found, as well as that linear combinations of generalized helicoids induce new algebraic minimal cones of arbitrarily high degree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09141","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":"2026-05-18T01:11:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oQKnJbDCprz1tX/JVkhIQUoOBWof6JnYHUoduQ8hxyc7OLx4VRE8KcxEPVArYNpeqezsErw/XB4S+CKg7+4jDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:33:00.840368Z"},"content_sha256":"9d3d34981798d0b1d4a9c144f2d84190d328a07c22f5fcc857a4ed38d80da4b3","schema_version":"1.0","event_id":"sha256:9d3d34981798d0b1d4a9c144f2d84190d328a07c22f5fcc857a4ed38d80da4b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/bundle.json","state_url":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/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":"2026-06-01T19:33:00Z","links":{"resolver":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW","bundle":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/bundle.json","state":"https://pith.science/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GR4EYO2R2MII7EDSQWCLFXY2VW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GR4EYO2R2MII7EDSQWCLFXY2VW","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":"5850b837e15e59ef8e3cf7fdb1b5e997239f738d88d8b8afc80bbad5d511b96a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","title_canon_sha256":"efb9762e1d849cf62423f520f629d47bed8412a9df2e8253565020f1091c6995"},"schema_version":"1.0","source":{"id":"1606.09141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09141","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09141v1","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09141","created_at":"2026-05-18T01:11:41Z"},{"alias_kind":"pith_short_12","alias_value":"GR4EYO2R2MII","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GR4EYO2R2MII7EDS","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GR4EYO2R","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:9d3d34981798d0b1d4a9c144f2d84190d328a07c22f5fcc857a4ed38d80da4b3","target":"graph","created_at":"2026-05-18T01:11:41Z","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":"Observing a linear superposition principle, a family of new minimal hypersurfaces in Euclidean space is found, as well as that linear combinations of generalized helicoids induce new algebraic minimal cones of arbitrarily high degree.","authors_text":"Jens Hoppe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","title":"Linear Superposition of Minimal Surfaces: Generalized Helicoids and Minimal Cones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09141","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":"sha256:4c866a1d6f4b6c8fef376dbc41e3c764d3c7807d4c92b8587a3b20236963987e","target":"record","created_at":"2026-05-18T01:11:41Z","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":"5850b837e15e59ef8e3cf7fdb1b5e997239f738d88d8b8afc80bbad5d511b96a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-06-29T15:04:21Z","title_canon_sha256":"efb9762e1d849cf62423f520f629d47bed8412a9df2e8253565020f1091c6995"},"schema_version":"1.0","source":{"id":"1606.09141","kind":"arxiv","version":1}},"canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34784c3b51d3108f90728584b2df1aad86a61c943f05630fcb27d59578d43935","first_computed_at":"2026-05-18T01:11:41.669522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:41.669522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QsBez8T7ixSl5j7dHJ3v6Ic1W98WeuT7N+gUolc4v9+JNwCUHJMwGh4usWJnH1wTmQFc5cDScqUa4QlkK2pvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:41.669863Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c866a1d6f4b6c8fef376dbc41e3c764d3c7807d4c92b8587a3b20236963987e","sha256:9d3d34981798d0b1d4a9c144f2d84190d328a07c22f5fcc857a4ed38d80da4b3"],"state_sha256":"e7d318961a485036acd3ceffc2c666daf5a77e6c24410e373fd8ed84a1005de6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"orBrWgQ3XoEr2ji6CHQab7x1+X1eCDiBBQxSO36IiHdU4HGW06Ka5IdkNEcTg5Pr6M5LpZFQ0rnmLnLCWdZNAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:33:00.842895Z","bundle_sha256":"bdbbbacbb2b8a95a948d38caddec2ca03f5d5c95ed12e992db93841014ee983d"}}