{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FKNJYJ7KRNRWMYNL4CDEQEOOGR","short_pith_number":"pith:FKNJYJ7K","canonical_record":{"source":{"id":"1604.06021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-20T16:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"50cc6d41e12be5a71836e41346c676e89e1c0235b9379fbda038d38928d5b4e9","abstract_canon_sha256":"1f490ac7d11cfdc5ba5818ec8198a3b51e4ecee0eb44b09bcc71a8e208c28d75"},"schema_version":"1.0"},"canonical_sha256":"2a9a9c27ea8b636661abe0864811ce3473cfe8f8b790e7c653b1f16ed4a50422","source":{"kind":"arxiv","id":"1604.06021","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06021","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06021v2","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06021","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"FKNJYJ7KRNRW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKNJYJ7KRNRWMYNL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKNJYJ7K","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FKNJYJ7KRNRWMYNL4CDEQEOOGR","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06021","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-20T16:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"50cc6d41e12be5a71836e41346c676e89e1c0235b9379fbda038d38928d5b4e9","abstract_canon_sha256":"1f490ac7d11cfdc5ba5818ec8198a3b51e4ecee0eb44b09bcc71a8e208c28d75"},"schema_version":"1.0"},"canonical_sha256":"2a9a9c27ea8b636661abe0864811ce3473cfe8f8b790e7c653b1f16ed4a50422","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:11.765962Z","signature_b64":"c5JX623UlM9xE92KP6yIh2hiSSbojmjXspiY5ZfvcZmW5Eu61fCmD0+6DZMY8aywlXAsOXtQjr/DS9zc60gqBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a9a9c27ea8b636661abe0864811ce3473cfe8f8b790e7c653b1f16ed4a50422","last_reissued_at":"2026-05-18T01:12:11.765438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:11.765438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06021","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":"2026-05-18T01:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+v8nZc/5gqw0oIdt55XzEZxPSRx8O1z69M3LoQy+N+dRBf7xbue1vRIIVib2ReiO8CKPaJJad9ncwvMXmMhxDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:43:20.317437Z"},"content_sha256":"823f198596efd5ef6a819ba95ed565c74be6321c23a02dbacdfd4692bea86da2","schema_version":"1.0","event_id":"sha256:823f198596efd5ef6a819ba95ed565c74be6321c23a02dbacdfd4692bea86da2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FKNJYJ7KRNRWMYNL4CDEQEOOGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Virtual Element Method in 50 lines of MATLAB","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Oliver J. Sutton","submitted_at":"2016-04-20T16:25:12Z","abstract_excerpt":"We present a 50-line MATLAB implementation of the lowest order virtual element method for the two-dimensional Poisson problem on general polygonal meshes. The matrix formulation of the method is discussed, along with the structure of the overall algorithm for computing with a virtual element method. The purpose of this software is primarily educational, to demonstrate how the key components of the method can be translated into code."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06021","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":"2026-05-18T01:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7gDAE3j9WuSbzGoLF+dRB3YaKsQ07jglx3W3wTmyQjRhUBunQjwAW673u6dC0bAXvMxIhx0+y+SciA+1gcCIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T13:43:20.317793Z"},"content_sha256":"7de7024d0fc13d266a2a6fbcf71e77b571ea2e9ce1701e2eaf2575bf8f1e8289","schema_version":"1.0","event_id":"sha256:7de7024d0fc13d266a2a6fbcf71e77b571ea2e9ce1701e2eaf2575bf8f1e8289"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/bundle.json","state_url":"https://pith.science/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/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":"2026-06-11T13:43:20Z","links":{"resolver":"https://pith.science/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR","bundle":"https://pith.science/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/bundle.json","state":"https://pith.science/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKNJYJ7KRNRWMYNL4CDEQEOOGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FKNJYJ7KRNRWMYNL4CDEQEOOGR","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":"1f490ac7d11cfdc5ba5818ec8198a3b51e4ecee0eb44b09bcc71a8e208c28d75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-20T16:25:12Z","title_canon_sha256":"50cc6d41e12be5a71836e41346c676e89e1c0235b9379fbda038d38928d5b4e9"},"schema_version":"1.0","source":{"id":"1604.06021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06021","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06021v2","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06021","created_at":"2026-05-18T01:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"FKNJYJ7KRNRW","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FKNJYJ7KRNRWMYNL","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FKNJYJ7K","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:7de7024d0fc13d266a2a6fbcf71e77b571ea2e9ce1701e2eaf2575bf8f1e8289","target":"graph","created_at":"2026-05-18T01:12:11Z","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":"We present a 50-line MATLAB implementation of the lowest order virtual element method for the two-dimensional Poisson problem on general polygonal meshes. The matrix formulation of the method is discussed, along with the structure of the overall algorithm for computing with a virtual element method. The purpose of this software is primarily educational, to demonstrate how the key components of the method can be translated into code.","authors_text":"Oliver J. Sutton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-20T16:25:12Z","title":"The Virtual Element Method in 50 lines of MATLAB"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06021","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":"sha256:823f198596efd5ef6a819ba95ed565c74be6321c23a02dbacdfd4692bea86da2","target":"record","created_at":"2026-05-18T01:12:11Z","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":"1f490ac7d11cfdc5ba5818ec8198a3b51e4ecee0eb44b09bcc71a8e208c28d75","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-04-20T16:25:12Z","title_canon_sha256":"50cc6d41e12be5a71836e41346c676e89e1c0235b9379fbda038d38928d5b4e9"},"schema_version":"1.0","source":{"id":"1604.06021","kind":"arxiv","version":2}},"canonical_sha256":"2a9a9c27ea8b636661abe0864811ce3473cfe8f8b790e7c653b1f16ed4a50422","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a9a9c27ea8b636661abe0864811ce3473cfe8f8b790e7c653b1f16ed4a50422","first_computed_at":"2026-05-18T01:12:11.765438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:11.765438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c5JX623UlM9xE92KP6yIh2hiSSbojmjXspiY5ZfvcZmW5Eu61fCmD0+6DZMY8aywlXAsOXtQjr/DS9zc60gqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:11.765962Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:823f198596efd5ef6a819ba95ed565c74be6321c23a02dbacdfd4692bea86da2","sha256:7de7024d0fc13d266a2a6fbcf71e77b571ea2e9ce1701e2eaf2575bf8f1e8289"],"state_sha256":"ec1fadd4051cc464a24b110ae2b2d69af2e11e93c690c24b7e1233a5af62354c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCpyjR480qsTIb0IZTcyV2507BJkJ/e2bwmApLi0XhYFdOJi1Hbu3Y08niJ6ew24lvxiS6HstO0suTM9KMYkAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T13:43:20.319773Z","bundle_sha256":"6808d285d6c97c94bda842500716f42f87320afe6d9d404e6e73a6166551d98f"}}