{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TRHOUAQDF52VHE4PRXA6SLUZWP","short_pith_number":"pith:TRHOUAQD","canonical_record":{"source":{"id":"1505.07046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-05-26T16:55:15Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.NA"],"title_canon_sha256":"3f9f82a78f793ba0deb274919bfd70274516d38df02c1a00e14979f8626e7ec3","abstract_canon_sha256":"70a9b58a5f8b0ec60fa8c4c9c66c95f9e2dc9d5bd11f991b98398a40e58b0f9e"},"schema_version":"1.0"},"canonical_sha256":"9c4eea02032f7553938f8dc1e92e99b3ca2641f2e00f7bf631e4c6e5aafa5ce6","source":{"kind":"arxiv","id":"1505.07046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07046","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07046v1","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07046","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"TRHOUAQDF52V","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRHOUAQDF52VHE4P","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRHOUAQD","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TRHOUAQDF52VHE4PRXA6SLUZWP","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07046","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-05-26T16:55:15Z","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.NA"],"title_canon_sha256":"3f9f82a78f793ba0deb274919bfd70274516d38df02c1a00e14979f8626e7ec3","abstract_canon_sha256":"70a9b58a5f8b0ec60fa8c4c9c66c95f9e2dc9d5bd11f991b98398a40e58b0f9e"},"schema_version":"1.0"},"canonical_sha256":"9c4eea02032f7553938f8dc1e92e99b3ca2641f2e00f7bf631e4c6e5aafa5ce6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:54.295295Z","signature_b64":"EsHl9g1buhursdJGGgHUxLe6KXLZ/ieQnKvVMdTcogX81oe910B17obznWofJP3BVamXDIR60QUWt6udQLiBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c4eea02032f7553938f8dc1e92e99b3ca2641f2e00f7bf631e4c6e5aafa5ce6","last_reissued_at":"2026-05-18T01:10:54.294722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:54.294722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07046","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":"2026-05-18T01:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qBCk6+irZ/kIvQUcPwOyZ+yVGOUrDifMyVbba78WGkEYS6fzm2+anaN2HLC9czl7ycY8GHLtD66yOV3MRvqRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:33:20.447027Z"},"content_sha256":"9c2f7e509abe95999f38a4e1fc80070c77848294062320020a8e302b27666cd7","schema_version":"1.0","event_id":"sha256:9c2f7e509abe95999f38a4e1fc80070c77848294062320020a8e302b27666cd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TRHOUAQDF52VHE4PRXA6SLUZWP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","math-ph","math.MP","math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Fr\\'ed\\'eric Hecht, Iztok Bajc, Slobodan \\v{Z}umer","submitted_at":"2015-05-26T16:55:15Z","abstract_excerpt":"This paper presents a 3D mesh adaptivity strategy on unstructured tetrahedral meshes by a posteriori error estimates based on metrics, studied on the case of a nonlinear finite element minimization scheme for the Landau-de Gennes free energy functional of nematic liquid crystals. Newton's iteration for tensor fields is employed with steepest descent method possibly stepping in.\n  Aspects relating the driving of mesh adaptivity within the nonlinear scheme are considered. The algorithmic performance is found to depend on at least two factors: when to trigger each single mesh adaptation, and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07046","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":"2026-05-18T01:10:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kKLmLF2IZy6ut4tCAjwBrF3ZniuD8xULwKb6yXfqvmKpc1aGhr7+pKtC29HJMH9rKFwIUo77RSCARhsYHN24Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:33:20.447406Z"},"content_sha256":"438dc8162ccb6856c6b0b3cfb802ae4a9b141e895d002839f0cade2f3c6b1b2e","schema_version":"1.0","event_id":"sha256:438dc8162ccb6856c6b0b3cfb802ae4a9b141e895d002839f0cade2f3c6b1b2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/bundle.json","state_url":"https://pith.science/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/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":"2026-06-23T14:33:20Z","links":{"resolver":"https://pith.science/pith/TRHOUAQDF52VHE4PRXA6SLUZWP","bundle":"https://pith.science/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/bundle.json","state":"https://pith.science/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRHOUAQDF52VHE4PRXA6SLUZWP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TRHOUAQDF52VHE4PRXA6SLUZWP","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":"70a9b58a5f8b0ec60fa8c4c9c66c95f9e2dc9d5bd11f991b98398a40e58b0f9e","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-05-26T16:55:15Z","title_canon_sha256":"3f9f82a78f793ba0deb274919bfd70274516d38df02c1a00e14979f8626e7ec3"},"schema_version":"1.0","source":{"id":"1505.07046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07046","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07046v1","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07046","created_at":"2026-05-18T01:10:54Z"},{"alias_kind":"pith_short_12","alias_value":"TRHOUAQDF52V","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRHOUAQDF52VHE4P","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRHOUAQD","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:438dc8162ccb6856c6b0b3cfb802ae4a9b141e895d002839f0cade2f3c6b1b2e","target":"graph","created_at":"2026-05-18T01:10:54Z","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":"This paper presents a 3D mesh adaptivity strategy on unstructured tetrahedral meshes by a posteriori error estimates based on metrics, studied on the case of a nonlinear finite element minimization scheme for the Landau-de Gennes free energy functional of nematic liquid crystals. Newton's iteration for tensor fields is employed with steepest descent method possibly stepping in.\n  Aspects relating the driving of mesh adaptivity within the nonlinear scheme are considered. The algorithmic performance is found to depend on at least two factors: when to trigger each single mesh adaptation, and the ","authors_text":"Fr\\'ed\\'eric Hecht, Iztok Bajc, Slobodan \\v{Z}umer","cross_cats":["cond-mat.soft","math-ph","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-05-26T16:55:15Z","title":"A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07046","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":"sha256:9c2f7e509abe95999f38a4e1fc80070c77848294062320020a8e302b27666cd7","target":"record","created_at":"2026-05-18T01:10:54Z","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":"70a9b58a5f8b0ec60fa8c4c9c66c95f9e2dc9d5bd11f991b98398a40e58b0f9e","cross_cats_sorted":["cond-mat.soft","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-05-26T16:55:15Z","title_canon_sha256":"3f9f82a78f793ba0deb274919bfd70274516d38df02c1a00e14979f8626e7ec3"},"schema_version":"1.0","source":{"id":"1505.07046","kind":"arxiv","version":1}},"canonical_sha256":"9c4eea02032f7553938f8dc1e92e99b3ca2641f2e00f7bf631e4c6e5aafa5ce6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c4eea02032f7553938f8dc1e92e99b3ca2641f2e00f7bf631e4c6e5aafa5ce6","first_computed_at":"2026-05-18T01:10:54.294722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:54.294722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EsHl9g1buhursdJGGgHUxLe6KXLZ/ieQnKvVMdTcogX81oe910B17obznWofJP3BVamXDIR60QUWt6udQLiBDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:54.295295Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c2f7e509abe95999f38a4e1fc80070c77848294062320020a8e302b27666cd7","sha256:438dc8162ccb6856c6b0b3cfb802ae4a9b141e895d002839f0cade2f3c6b1b2e"],"state_sha256":"9adda6479aca1a9dbacb3d0ef42e3da1e66c54b6de70eb5a63c67716bcfb7a84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TwhhMTbrQroSLDDwOMufOJm2JQqzEloy3eDrRSgs2X8/cq1jmog2YzL4VjSTiChj8/BdJNaDyzufDYwFjfAiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:33:20.449463Z","bundle_sha256":"16968a4df8d585a04f5b4f25686a001c9e6d7e9c7c02214694aba29be49b82b4"}}