{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IAARVS3MLORTEBVZARL7OTJJ6I","short_pith_number":"pith:IAARVS3M","canonical_record":{"source":{"id":"1306.2260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-06-10T17:50:45Z","cross_cats_sorted":["math.DG","math.NA"],"title_canon_sha256":"0d7472fe64c80fa3f97570b162700a70d51cf66f06970cd2515a360e32adf954","abstract_canon_sha256":"9a74182c718b2b2cc652e9abced71141f225ad481177bdd3a3aecd337e0d6233"},"schema_version":"1.0"},"canonical_sha256":"40011acb6c5ba33206b90457f74d29f21016bb1b6e918e744ceb6dbf64dbf9c8","source":{"kind":"arxiv","id":"1306.2260","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2260","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2260v2","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2260","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"IAARVS3MLORT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAARVS3MLORTEBVZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAARVS3M","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IAARVS3MLORTEBVZARL7OTJJ6I","target":"record","payload":{"canonical_record":{"source":{"id":"1306.2260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-06-10T17:50:45Z","cross_cats_sorted":["math.DG","math.NA"],"title_canon_sha256":"0d7472fe64c80fa3f97570b162700a70d51cf66f06970cd2515a360e32adf954","abstract_canon_sha256":"9a74182c718b2b2cc652e9abced71141f225ad481177bdd3a3aecd337e0d6233"},"schema_version":"1.0"},"canonical_sha256":"40011acb6c5ba33206b90457f74d29f21016bb1b6e918e744ceb6dbf64dbf9c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:03.935599Z","signature_b64":"k8k4GxKjcYR6KBAH7hl/ZhJbphpTj2gQiEX7ufIwG3yADHxfWoP9tpUxIfD9HBBVhULffi4sdqxlotxI1uTKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40011acb6c5ba33206b90457f74d29f21016bb1b6e918e744ceb6dbf64dbf9c8","last_reissued_at":"2026-05-18T03:19:03.935045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:03.935045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.2260","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":"2026-05-18T03:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ygno4h1Zc0ckmhDbbJvpuIRzKQdrc8u6BGRmkf8PneC8fm3I9lCy99Vqn1FK1v9OJ4tmAG77k6MpH2pKSZtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:30:12.463248Z"},"content_sha256":"4d3e42c7b74d663a35af55458e362979daffcdfc8fc41ca134a113a310e6da69","schema_version":"1.0","event_id":"sha256:4d3e42c7b74d663a35af55458e362979daffcdfc8fc41ca134a113a310e6da69"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IAARVS3MLORTEBVZARL7OTJJ6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.NA"],"primary_cat":"cs.CG","authors_text":"Benjamin Himpel, Dimitris Vartziotis","submitted_at":"2013-06-10T17:50:45Z","abstract_excerpt":"Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a systematic approach to global optimization-based versions of such methods for mixed volume meshes. In particular, we identify efficient smoothing algorithms for certain algebraic mesh quality measures. We also provide explicit constructions of potentially useful smoothing algorithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2260","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":"2026-05-18T03:19:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4ukTgQGvoxC3mhDjVolVvDZRa0xf61o3rQLVFDk5+NZLGmOQIng2xDT65y/8FKFwv7w6KYbxxvDVsWpbjrTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:30:12.463925Z"},"content_sha256":"27a717a4bee3e9084cbad7bef7f38c101c80d34586113205b6b8f56abe112691","schema_version":"1.0","event_id":"sha256:27a717a4bee3e9084cbad7bef7f38c101c80d34586113205b6b8f56abe112691"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAARVS3MLORTEBVZARL7OTJJ6I/bundle.json","state_url":"https://pith.science/pith/IAARVS3MLORTEBVZARL7OTJJ6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAARVS3MLORTEBVZARL7OTJJ6I/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":"2026-05-31T23:30:12Z","links":{"resolver":"https://pith.science/pith/IAARVS3MLORTEBVZARL7OTJJ6I","bundle":"https://pith.science/pith/IAARVS3MLORTEBVZARL7OTJJ6I/bundle.json","state":"https://pith.science/pith/IAARVS3MLORTEBVZARL7OTJJ6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAARVS3MLORTEBVZARL7OTJJ6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IAARVS3MLORTEBVZARL7OTJJ6I","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":"9a74182c718b2b2cc652e9abced71141f225ad481177bdd3a3aecd337e0d6233","cross_cats_sorted":["math.DG","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-06-10T17:50:45Z","title_canon_sha256":"0d7472fe64c80fa3f97570b162700a70d51cf66f06970cd2515a360e32adf954"},"schema_version":"1.0","source":{"id":"1306.2260","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2260","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2260v2","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2260","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"IAARVS3MLORT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAARVS3MLORTEBVZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAARVS3M","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:27a717a4bee3e9084cbad7bef7f38c101c80d34586113205b6b8f56abe112691","target":"graph","created_at":"2026-05-18T03:19:03Z","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":"Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a systematic approach to global optimization-based versions of such methods for mixed volume meshes. In particular, we identify efficient smoothing algorithms for certain algebraic mesh quality measures. We also provide explicit constructions of potentially useful smoothing algorithms.","authors_text":"Benjamin Himpel, Dimitris Vartziotis","cross_cats":["math.DG","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-06-10T17:50:45Z","title":"Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2260","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":"sha256:4d3e42c7b74d663a35af55458e362979daffcdfc8fc41ca134a113a310e6da69","target":"record","created_at":"2026-05-18T03:19:03Z","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":"9a74182c718b2b2cc652e9abced71141f225ad481177bdd3a3aecd337e0d6233","cross_cats_sorted":["math.DG","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2013-06-10T17:50:45Z","title_canon_sha256":"0d7472fe64c80fa3f97570b162700a70d51cf66f06970cd2515a360e32adf954"},"schema_version":"1.0","source":{"id":"1306.2260","kind":"arxiv","version":2}},"canonical_sha256":"40011acb6c5ba33206b90457f74d29f21016bb1b6e918e744ceb6dbf64dbf9c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40011acb6c5ba33206b90457f74d29f21016bb1b6e918e744ceb6dbf64dbf9c8","first_computed_at":"2026-05-18T03:19:03.935045Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:03.935045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8k4GxKjcYR6KBAH7hl/ZhJbphpTj2gQiEX7ufIwG3yADHxfWoP9tpUxIfD9HBBVhULffi4sdqxlotxI1uTKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:03.935599Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2260","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d3e42c7b74d663a35af55458e362979daffcdfc8fc41ca134a113a310e6da69","sha256:27a717a4bee3e9084cbad7bef7f38c101c80d34586113205b6b8f56abe112691"],"state_sha256":"c18808bce9f19077ab412ecd735bed42a4665c9433ee0f47e41a4f174d57383a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h8ss+RDlOCvKQXot1j5q0XGVbOqnjpsxAW1f7qyuQyZvNozqwCcSexNkmd7RaJscRfaS8aXd1BqKp9jjmBypBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:30:12.467963Z","bundle_sha256":"27607fba5c35b142d3dcc9fc9fa93b28363fb792262aa68b4b3828d4b21d8128"}}