{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4EYN2FKMVUQ5RMWCNSSGXW6TLX","short_pith_number":"pith:4EYN2FKM","canonical_record":{"source":{"id":"1705.00020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","cross_cats_sorted":[],"title_canon_sha256":"168e709eb902a3a2a897ab7cb498c435f6e7e818e21f14845257ba402a357824","abstract_canon_sha256":"53579b073a8ac513fcf12c59fb6d22322d8443d317479d08f0ba4c0bc0a3fb86"},"schema_version":"1.0"},"canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","source":{"kind":"arxiv","id":"1705.00020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00020","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00020v1","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00020","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"4EYN2FKMVUQ5","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EYN2FKMVUQ5RMWC","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EYN2FKM","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4EYN2FKMVUQ5RMWCNSSGXW6TLX","target":"record","payload":{"canonical_record":{"source":{"id":"1705.00020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","cross_cats_sorted":[],"title_canon_sha256":"168e709eb902a3a2a897ab7cb498c435f6e7e818e21f14845257ba402a357824","abstract_canon_sha256":"53579b073a8ac513fcf12c59fb6d22322d8443d317479d08f0ba4c0bc0a3fb86"},"schema_version":"1.0"},"canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:21.701152Z","signature_b64":"6DkH6cfn9ISCr01XXeD8gfL6t9ZNdIMzkdEGEE2uxlS9FSzXphN+jaOsbK4JT/IgCreQ9g13gCE0CLcjxuqVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","last_reissued_at":"2026-05-18T00:45:21.700547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:21.700547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.00020","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":"2026-05-18T00:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95hvqcDXuRZ/J7S0bizOFWALOnPAN3mY7wtWQ4DpjCwGtyiUkZf2nGlPUvMJkReI8VGeCKoK7E6AGuLHu1m4CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:48:55.937354Z"},"content_sha256":"0f7cad91db65074529f26cfcbd64914148c4fea28ff0dfbde5e09df65b0543c3","schema_version":"1.0","event_id":"sha256:0f7cad91db65074529f26cfcbd64914148c4fea28ff0dfbde5e09df65b0543c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4EYN2FKMVUQ5RMWCNSSGXW6TLX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Scott-Vogelius finite elements revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Johnny Guzman, Ridgway Scott","submitted_at":"2017-04-28T18:04:31Z","abstract_excerpt":"We prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \\ge 4$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00020","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":"2026-05-18T00:45:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"haeLNWVaKJJGb6m9tZ9EUZ1mOruWh+4V5AKwOtf/siHHFJAtzbjDtWPVU6W9i6hx5r+wJ0E4TxBHeN8HDKicAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:48:55.937686Z"},"content_sha256":"f1494f9abe5db9a66e1194442d4f008c71281f1b2542ca7bd59e1e916def49e5","schema_version":"1.0","event_id":"sha256:f1494f9abe5db9a66e1194442d4f008c71281f1b2542ca7bd59e1e916def49e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/bundle.json","state_url":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/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":"2026-06-25T08:48:55Z","links":{"resolver":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX","bundle":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/bundle.json","state":"https://pith.science/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EYN2FKMVUQ5RMWCNSSGXW6TLX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4EYN2FKMVUQ5RMWCNSSGXW6TLX","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":"53579b073a8ac513fcf12c59fb6d22322d8443d317479d08f0ba4c0bc0a3fb86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","title_canon_sha256":"168e709eb902a3a2a897ab7cb498c435f6e7e818e21f14845257ba402a357824"},"schema_version":"1.0","source":{"id":"1705.00020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00020","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00020v1","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00020","created_at":"2026-05-18T00:45:21Z"},{"alias_kind":"pith_short_12","alias_value":"4EYN2FKMVUQ5","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EYN2FKMVUQ5RMWC","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EYN2FKM","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:f1494f9abe5db9a66e1194442d4f008c71281f1b2542ca7bd59e1e916def49e5","target":"graph","created_at":"2026-05-18T00:45:21Z","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 prove that the Scott-Vogelius finite elements are inf-sup stable on shape-regular meshes for piecewise quartic velocity fields and higher ($k \\ge 4$).","authors_text":"Johnny Guzman, Ridgway Scott","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","title":"The Scott-Vogelius finite elements revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00020","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":"sha256:0f7cad91db65074529f26cfcbd64914148c4fea28ff0dfbde5e09df65b0543c3","target":"record","created_at":"2026-05-18T00:45:21Z","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":"53579b073a8ac513fcf12c59fb6d22322d8443d317479d08f0ba4c0bc0a3fb86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-04-28T18:04:31Z","title_canon_sha256":"168e709eb902a3a2a897ab7cb498c435f6e7e818e21f14845257ba402a357824"},"schema_version":"1.0","source":{"id":"1705.00020","kind":"arxiv","version":1}},"canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e130dd154cad21d8b2c26ca46bdbd35dea257e20ae08e5767ff748de7f0a77e7","first_computed_at":"2026-05-18T00:45:21.700547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:21.700547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6DkH6cfn9ISCr01XXeD8gfL6t9ZNdIMzkdEGEE2uxlS9FSzXphN+jaOsbK4JT/IgCreQ9g13gCE0CLcjxuqVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:21.701152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f7cad91db65074529f26cfcbd64914148c4fea28ff0dfbde5e09df65b0543c3","sha256:f1494f9abe5db9a66e1194442d4f008c71281f1b2542ca7bd59e1e916def49e5"],"state_sha256":"5ac9a0a7726781234f5201965595ed183dd6b428c6bc76303c8f1cb069068037"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Tn9QUx2bOWUOB1ywZ5x8l3KwFElJjebdaO6Pq6H+jD4x5ZiEfl1xdeov+y8yKheSTSzVpCJztakF/t+KnDFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:48:55.939513Z","bundle_sha256":"9255b1a1933ac3651245d3b3a46d720d4aada630949c7d8d13a9057d4653661e"}}