{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2KQHRAM4EYJFHU6APGXSLY32BK","short_pith_number":"pith:2KQHRAM4","canonical_record":{"source":{"id":"1703.07007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T00:09:30Z","cross_cats_sorted":[],"title_canon_sha256":"06f4365a62cd6d8b0d7fc5438922d0577ad438b721e6e60b56cea702788cc3a1","abstract_canon_sha256":"734ab1715846249bb7288a5a8ee7b759acc12df2eaaebabf99f2c1480ec42e04"},"schema_version":"1.0"},"canonical_sha256":"d2a078819c261253d3c079af25e37a0a8a6107a7bcfc4f6d57647bc2be706520","source":{"kind":"arxiv","id":"1703.07007","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07007","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07007v2","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07007","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"2KQHRAM4EYJF","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2KQHRAM4EYJFHU6A","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2KQHRAM4","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2KQHRAM4EYJFHU6APGXSLY32BK","target":"record","payload":{"canonical_record":{"source":{"id":"1703.07007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T00:09:30Z","cross_cats_sorted":[],"title_canon_sha256":"06f4365a62cd6d8b0d7fc5438922d0577ad438b721e6e60b56cea702788cc3a1","abstract_canon_sha256":"734ab1715846249bb7288a5a8ee7b759acc12df2eaaebabf99f2c1480ec42e04"},"schema_version":"1.0"},"canonical_sha256":"d2a078819c261253d3c079af25e37a0a8a6107a7bcfc4f6d57647bc2be706520","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:11.419889Z","signature_b64":"O9rolgTv8Bxpp7jqpOaCMpLI7fpVp3s0pFDcC1qN56cY9GzTe5EQEHPV4npJgGzfaseUnCdHTWX8h/4cnt1OBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2a078819c261253d3c079af25e37a0a8a6107a7bcfc4f6d57647bc2be706520","last_reissued_at":"2026-05-18T00:12:11.419236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:11.419236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.07007","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":"2026-05-18T00:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/oL2/fkQNgI1RTo/+pPpMAi6eiG0ZtYF+ZOJZtAVWcOVx4l5c6NQm3VRbYqrvcXM2bbe+nKnw8P4d25joh7WAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:56:07.790393Z"},"content_sha256":"9acb7d2797744bb58ebb9b0380eae8c0a0f63abd0a9cb6c3fd6a071cfb159d55","schema_version":"1.0","event_id":"sha256:9acb7d2797744bb58ebb9b0380eae8c0a0f63abd0a9cb6c3fd6a071cfb159d55"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2KQHRAM4EYJFHU6APGXSLY32BK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tetrahedral mesh improvement using moving mesh smoothing, lazy searching flips, and RBF surface reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Franco Dassi, Hang Si, Lennard Kamenski, Patricio Farrell","submitted_at":"2017-03-21T00:09:30Z","abstract_excerpt":"Given a tetrahedral mesh and objective functionals measuring the mesh quality which take into account the shape, size, and orientation of the mesh elements, our aim is to improve the mesh quality as much as possible. In this paper, we combine the moving mesh smoothing, based on the integration of an ordinary differential equation coming from a given functional, with the lazy flip technique, a reversible edge removal algorithm to modify the mesh connectivity. Moreover, we utilize radial basis function (RBF) surface reconstruction to improve tetrahedral meshes with curved boundary surfaces. Nume"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07007","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":"2026-05-18T00:12:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VjOdU3H9FepB4dd3Sf7DmrnW77HV4zU83riHtWjzzoi0q6hNiFV92tAuhqtNJAihuhGLwDu9T+K71+dY3X5dCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:56:07.790739Z"},"content_sha256":"46d776b4d6ca7efad87fcff155c42ea18cd372cdc3cc2d4292b8012c69186ab8","schema_version":"1.0","event_id":"sha256:46d776b4d6ca7efad87fcff155c42ea18cd372cdc3cc2d4292b8012c69186ab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2KQHRAM4EYJFHU6APGXSLY32BK/bundle.json","state_url":"https://pith.science/pith/2KQHRAM4EYJFHU6APGXSLY32BK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2KQHRAM4EYJFHU6APGXSLY32BK/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":"2026-06-01T15:56:07Z","links":{"resolver":"https://pith.science/pith/2KQHRAM4EYJFHU6APGXSLY32BK","bundle":"https://pith.science/pith/2KQHRAM4EYJFHU6APGXSLY32BK/bundle.json","state":"https://pith.science/pith/2KQHRAM4EYJFHU6APGXSLY32BK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2KQHRAM4EYJFHU6APGXSLY32BK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2KQHRAM4EYJFHU6APGXSLY32BK","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":"734ab1715846249bb7288a5a8ee7b759acc12df2eaaebabf99f2c1480ec42e04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T00:09:30Z","title_canon_sha256":"06f4365a62cd6d8b0d7fc5438922d0577ad438b721e6e60b56cea702788cc3a1"},"schema_version":"1.0","source":{"id":"1703.07007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07007","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07007v2","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07007","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"2KQHRAM4EYJF","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2KQHRAM4EYJFHU6A","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2KQHRAM4","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:46d776b4d6ca7efad87fcff155c42ea18cd372cdc3cc2d4292b8012c69186ab8","target":"graph","created_at":"2026-05-18T00:12:11Z","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":"Given a tetrahedral mesh and objective functionals measuring the mesh quality which take into account the shape, size, and orientation of the mesh elements, our aim is to improve the mesh quality as much as possible. In this paper, we combine the moving mesh smoothing, based on the integration of an ordinary differential equation coming from a given functional, with the lazy flip technique, a reversible edge removal algorithm to modify the mesh connectivity. Moreover, we utilize radial basis function (RBF) surface reconstruction to improve tetrahedral meshes with curved boundary surfaces. Nume","authors_text":"Franco Dassi, Hang Si, Lennard Kamenski, Patricio Farrell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T00:09:30Z","title":"Tetrahedral mesh improvement using moving mesh smoothing, lazy searching flips, and RBF surface reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07007","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":"sha256:9acb7d2797744bb58ebb9b0380eae8c0a0f63abd0a9cb6c3fd6a071cfb159d55","target":"record","created_at":"2026-05-18T00:12:11Z","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":"734ab1715846249bb7288a5a8ee7b759acc12df2eaaebabf99f2c1480ec42e04","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-21T00:09:30Z","title_canon_sha256":"06f4365a62cd6d8b0d7fc5438922d0577ad438b721e6e60b56cea702788cc3a1"},"schema_version":"1.0","source":{"id":"1703.07007","kind":"arxiv","version":2}},"canonical_sha256":"d2a078819c261253d3c079af25e37a0a8a6107a7bcfc4f6d57647bc2be706520","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2a078819c261253d3c079af25e37a0a8a6107a7bcfc4f6d57647bc2be706520","first_computed_at":"2026-05-18T00:12:11.419236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:11.419236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O9rolgTv8Bxpp7jqpOaCMpLI7fpVp3s0pFDcC1qN56cY9GzTe5EQEHPV4npJgGzfaseUnCdHTWX8h/4cnt1OBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:11.419889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9acb7d2797744bb58ebb9b0380eae8c0a0f63abd0a9cb6c3fd6a071cfb159d55","sha256:46d776b4d6ca7efad87fcff155c42ea18cd372cdc3cc2d4292b8012c69186ab8"],"state_sha256":"c9df224ae83b66c77cd7b0420894f7e4c02cd49a522a875a2aab99baf1027826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PVcJgaWKkZNergsp1GUHsCFKyfZyIOMctx6+zYou56TwdeB95hOmDH+FIBTsDe8prsmr7pFKh3V8/8zo2jrDAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:56:07.792840Z","bundle_sha256":"6f6d2ad757bc4a0a98fe7a0e7d751c9f88e7af403f63a9efa05562e9b6189011"}}