{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:D4V7XGXCWMGEYT2LPIJF7G3C4K","short_pith_number":"pith:D4V7XGXC","canonical_record":{"source":{"id":"1412.4138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-12T21:42:01Z","cross_cats_sorted":[],"title_canon_sha256":"26c52693d3e61d63bf218cf7dae3bf5626c1d0639693753737ad517ba58eb1ab","abstract_canon_sha256":"31af9e3f4f7f8201bbe77a5fbe48e2a55cb31a710f98e6672a2d0f60ecf4c3ca"},"schema_version":"1.0"},"canonical_sha256":"1f2bfb9ae2b30c4c4f4b7a125f9b62e2bb51faf5b378dc305a3b28097e0fc698","source":{"kind":"arxiv","id":"1412.4138","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4138","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4138v2","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4138","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"D4V7XGXCWMGE","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"D4V7XGXCWMGEYT2L","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"D4V7XGXC","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:D4V7XGXCWMGEYT2LPIJF7G3C4K","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4138","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-12T21:42:01Z","cross_cats_sorted":[],"title_canon_sha256":"26c52693d3e61d63bf218cf7dae3bf5626c1d0639693753737ad517ba58eb1ab","abstract_canon_sha256":"31af9e3f4f7f8201bbe77a5fbe48e2a55cb31a710f98e6672a2d0f60ecf4c3ca"},"schema_version":"1.0"},"canonical_sha256":"1f2bfb9ae2b30c4c4f4b7a125f9b62e2bb51faf5b378dc305a3b28097e0fc698","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:10.591140Z","signature_b64":"vr/P99mg/z1dwGGL3ZznH7nk+y/1mvtkwQgpADAlSIcVuS4NiSGQR3JnRQnyAaXGtJojHgJrkzYWYx5yGdUvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f2bfb9ae2b30c4c4f4b7a125f9b62e2bb51faf5b378dc305a3b28097e0fc698","last_reissued_at":"2026-05-18T02:31:10.590482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:10.590482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4138","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":"2026-05-18T02:31:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRhOp+9zsOozjFWqfZjWOPIvhHgRiCA97X3J93mHVDCbv1Y/HT9Txich60Vx9L0sIeW5hiNH2Nri19NBhW1ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:21:38.373779Z"},"content_sha256":"a8e55b49735a9dffdc82f975979f84478c853c86e582c97d91fc0c34d7ff6210","schema_version":"1.0","event_id":"sha256:a8e55b49735a9dffdc82f975979f84478c853c86e582c97d91fc0c34d7ff6210"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:D4V7XGXCWMGEYT2LPIJF7G3C4K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Comparison of High Order Interpolation Nodes for the Pyramid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jesse Chan, T. Warburton","submitted_at":"2014-12-12T21:42:01Z","abstract_excerpt":"The use of pyramid elements is crucial to the construction of efficient hex-dominant meshes. For conforming nodal finite element methods with mixed element types, it is advantageous for nodal distributions on the faces of the pyramid to match those on the faces and edges of hexahedra and tetrahedra. We adapt existing procedures for constructing optimized tetrahedral nodal sets for high order interpolation to the pyramid with constrained face nodes, including two generalizations of the explicit Warp and Blend construction of nodes on the tetrahedron."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4138","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":"2026-05-18T02:31:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YQNNqPCGUwNigHuUzp5XT/51u4wT63mdYDryhXRecIz2IG8QXsDgtbyLBCgN9os+LEiV454BKkU6JKOlG+SkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T06:21:38.374527Z"},"content_sha256":"27b1913ff8546119677a82e366338b5a245b8984470c82ddd5ad3e02844a8842","schema_version":"1.0","event_id":"sha256:27b1913ff8546119677a82e366338b5a245b8984470c82ddd5ad3e02844a8842"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/bundle.json","state_url":"https://pith.science/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/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":"2026-05-26T06:21:38Z","links":{"resolver":"https://pith.science/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K","bundle":"https://pith.science/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/bundle.json","state":"https://pith.science/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D4V7XGXCWMGEYT2LPIJF7G3C4K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:D4V7XGXCWMGEYT2LPIJF7G3C4K","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":"31af9e3f4f7f8201bbe77a5fbe48e2a55cb31a710f98e6672a2d0f60ecf4c3ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-12T21:42:01Z","title_canon_sha256":"26c52693d3e61d63bf218cf7dae3bf5626c1d0639693753737ad517ba58eb1ab"},"schema_version":"1.0","source":{"id":"1412.4138","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4138","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4138v2","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4138","created_at":"2026-05-18T02:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"D4V7XGXCWMGE","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"D4V7XGXCWMGEYT2L","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"D4V7XGXC","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:27b1913ff8546119677a82e366338b5a245b8984470c82ddd5ad3e02844a8842","target":"graph","created_at":"2026-05-18T02:31:10Z","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 use of pyramid elements is crucial to the construction of efficient hex-dominant meshes. For conforming nodal finite element methods with mixed element types, it is advantageous for nodal distributions on the faces of the pyramid to match those on the faces and edges of hexahedra and tetrahedra. We adapt existing procedures for constructing optimized tetrahedral nodal sets for high order interpolation to the pyramid with constrained face nodes, including two generalizations of the explicit Warp and Blend construction of nodes on the tetrahedron.","authors_text":"Jesse Chan, T. Warburton","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-12T21:42:01Z","title":"A Comparison of High Order Interpolation Nodes for the Pyramid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4138","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:a8e55b49735a9dffdc82f975979f84478c853c86e582c97d91fc0c34d7ff6210","target":"record","created_at":"2026-05-18T02:31:10Z","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":"31af9e3f4f7f8201bbe77a5fbe48e2a55cb31a710f98e6672a2d0f60ecf4c3ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-12-12T21:42:01Z","title_canon_sha256":"26c52693d3e61d63bf218cf7dae3bf5626c1d0639693753737ad517ba58eb1ab"},"schema_version":"1.0","source":{"id":"1412.4138","kind":"arxiv","version":2}},"canonical_sha256":"1f2bfb9ae2b30c4c4f4b7a125f9b62e2bb51faf5b378dc305a3b28097e0fc698","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f2bfb9ae2b30c4c4f4b7a125f9b62e2bb51faf5b378dc305a3b28097e0fc698","first_computed_at":"2026-05-18T02:31:10.590482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:31:10.590482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vr/P99mg/z1dwGGL3ZznH7nk+y/1mvtkwQgpADAlSIcVuS4NiSGQR3JnRQnyAaXGtJojHgJrkzYWYx5yGdUvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:31:10.591140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4138","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8e55b49735a9dffdc82f975979f84478c853c86e582c97d91fc0c34d7ff6210","sha256:27b1913ff8546119677a82e366338b5a245b8984470c82ddd5ad3e02844a8842"],"state_sha256":"8cd6e05eb66ade4e4d934506084b15acffd41d1e45f632f789e13d5b052d9a62"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dp13p+4EtbA0aRjSNulLe2D9EZJEq52lW2hMYQ/Pa6S7oZkOtOITtdoF3/aNlBF8jCzylN9shk/dfLNgvdMqCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T06:21:38.378140Z","bundle_sha256":"f45c4cbfcadeffa5c647ff6ee6d85a2812b27b506a868de027760f2a13b301f0"}}