{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NWJA4M3CBT7UT2WDIV6CXUVMHV","short_pith_number":"pith:NWJA4M3C","canonical_record":{"source":{"id":"1807.01295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-03T17:27:50Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"c92dabb14e4f50e520643c6cec8477ec2e3373c442df4fa7ecaeaf6c8081dd6a","abstract_canon_sha256":"7bbd5a4abd7f84d421d7a13311d817289ad9c59c9163a78a89c3bdcac6d0dfc7"},"schema_version":"1.0"},"canonical_sha256":"6d920e33620cff49eac3457c2bd2ac3d52553ddf9e2a014ead98839739c86c05","source":{"kind":"arxiv","id":"1807.01295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.01295","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"arxiv_version","alias_value":"1807.01295v1","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01295","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_12","alias_value":"NWJA4M3CBT7U","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_16","alias_value":"NWJA4M3CBT7UT2WD","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_8","alias_value":"NWJA4M3C","created_at":"2026-06-04T19:12:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NWJA4M3CBT7UT2WDIV6CXUVMHV","target":"record","payload":{"canonical_record":{"source":{"id":"1807.01295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-03T17:27:50Z","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"title_canon_sha256":"c92dabb14e4f50e520643c6cec8477ec2e3373c442df4fa7ecaeaf6c8081dd6a","abstract_canon_sha256":"7bbd5a4abd7f84d421d7a13311d817289ad9c59c9163a78a89c3bdcac6d0dfc7"},"schema_version":"1.0"},"canonical_sha256":"6d920e33620cff49eac3457c2bd2ac3d52553ddf9e2a014ead98839739c86c05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:12:05.670388Z","signature_b64":"J33XPmixPWrCiiDFnNRxHe2w/bGpj+RKJcA7a1CLODDGQuHL4CtPMsZga64PzLRBnki2CQ9pK6ZOwGw0NLvTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d920e33620cff49eac3457c2bd2ac3d52553ddf9e2a014ead98839739c86c05","last_reissued_at":"2026-06-04T19:12:05.669828Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:12:05.669828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.01295","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":"2026-06-04T19:12:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vcWEyE7w+1UtxXyb3RHKBRGYhmvM10EWop6DpboTw9PzsyMTYtMM+HXY6ZmaFeV4CKwlaZaaBx79aADOKVISBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T01:33:48.989336Z"},"content_sha256":"8224db2440e9bef1b143754269018c1dba7edf2282c785808778543279fb62c4","schema_version":"1.0","event_id":"sha256:8224db2440e9bef1b143754269018c1dba7edf2282c785808778543279fb62c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NWJA4M3CBT7UT2WDIV6CXUVMHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parallelization of the multi-level hp-adaptive finite cell method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"primary_cat":"cs.DC","authors_text":"2) ((1) Technische Universit\\\"at M\\\"unchen, (2) Institute for Advanced Study, Ali \\\"Ozcan (1), Ernst Rank (1, Garching, Germany, Germany), John N. Jomo (1), Mohamed Elhaddad (1), Munich, Nils Zander (1), Ralf-Peter Mundani (1), Stefan Kollmannsberger (1), Technische Universit\\\"at M\\\"unchen","submitted_at":"2018-07-03T17:27:50Z","abstract_excerpt":"The multi-level hp-refinement scheme is a powerful extension of the finite element method that allows local mesh adaptation without the trouble of constraining hanging nodes. This is achieved through hierarchical high-order overlay meshes, a hp-scheme based on spatial refinement by superposition. An efficient parallelization of this method using standard domain decomposition approaches in combination with ghost elements faces the challenge of a large basis function support resulting from the overlay structure and is in many cases not feasible. In this contribution, a parallelization strategy f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01295","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.01295/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-04T19:12:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KomKZcqs3aIhyrC0fsmLFtE57RHlGKwAIw401oShnwZeQlaSlZn01hqU667kp4QivU3ajNsj/R+zQwntXWUfAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T01:33:48.989721Z"},"content_sha256":"3e0ffaaef41c711bbb4b742503b922f335a798caa194f25ed60516bf400488a9","schema_version":"1.0","event_id":"sha256:3e0ffaaef41c711bbb4b742503b922f335a798caa194f25ed60516bf400488a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/bundle.json","state_url":"https://pith.science/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/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":"2026-07-03T01:33:48Z","links":{"resolver":"https://pith.science/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV","bundle":"https://pith.science/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/bundle.json","state":"https://pith.science/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NWJA4M3CBT7UT2WDIV6CXUVMHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NWJA4M3CBT7UT2WDIV6CXUVMHV","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":"7bbd5a4abd7f84d421d7a13311d817289ad9c59c9163a78a89c3bdcac6d0dfc7","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-03T17:27:50Z","title_canon_sha256":"c92dabb14e4f50e520643c6cec8477ec2e3373c442df4fa7ecaeaf6c8081dd6a"},"schema_version":"1.0","source":{"id":"1807.01295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.01295","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"arxiv_version","alias_value":"1807.01295v1","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.01295","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_12","alias_value":"NWJA4M3CBT7U","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_16","alias_value":"NWJA4M3CBT7UT2WD","created_at":"2026-06-04T19:12:05Z"},{"alias_kind":"pith_short_8","alias_value":"NWJA4M3C","created_at":"2026-06-04T19:12:05Z"}],"graph_snapshots":[{"event_id":"sha256:3e0ffaaef41c711bbb4b742503b922f335a798caa194f25ed60516bf400488a9","target":"graph","created_at":"2026-06-04T19:12:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1807.01295/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The multi-level hp-refinement scheme is a powerful extension of the finite element method that allows local mesh adaptation without the trouble of constraining hanging nodes. This is achieved through hierarchical high-order overlay meshes, a hp-scheme based on spatial refinement by superposition. An efficient parallelization of this method using standard domain decomposition approaches in combination with ghost elements faces the challenge of a large basis function support resulting from the overlay structure and is in many cases not feasible. In this contribution, a parallelization strategy f","authors_text":"2) ((1) Technische Universit\\\"at M\\\"unchen, (2) Institute for Advanced Study, Ali \\\"Ozcan (1), Ernst Rank (1, Garching, Germany, Germany), John N. Jomo (1), Mohamed Elhaddad (1), Munich, Nils Zander (1), Ralf-Peter Mundani (1), Stefan Kollmannsberger (1), Technische Universit\\\"at M\\\"unchen","cross_cats":["cs.NA","math.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-03T17:27:50Z","title":"Parallelization of the multi-level hp-adaptive finite cell method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.01295","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":"sha256:8224db2440e9bef1b143754269018c1dba7edf2282c785808778543279fb62c4","target":"record","created_at":"2026-06-04T19:12:05Z","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":"7bbd5a4abd7f84d421d7a13311d817289ad9c59c9163a78a89c3bdcac6d0dfc7","cross_cats_sorted":["cs.NA","math.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2018-07-03T17:27:50Z","title_canon_sha256":"c92dabb14e4f50e520643c6cec8477ec2e3373c442df4fa7ecaeaf6c8081dd6a"},"schema_version":"1.0","source":{"id":"1807.01295","kind":"arxiv","version":1}},"canonical_sha256":"6d920e33620cff49eac3457c2bd2ac3d52553ddf9e2a014ead98839739c86c05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d920e33620cff49eac3457c2bd2ac3d52553ddf9e2a014ead98839739c86c05","first_computed_at":"2026-06-04T19:12:05.669828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:12:05.669828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J33XPmixPWrCiiDFnNRxHe2w/bGpj+RKJcA7a1CLODDGQuHL4CtPMsZga64PzLRBnki2CQ9pK6ZOwGw0NLvTDQ==","signature_status":"signed_v1","signed_at":"2026-06-04T19:12:05.670388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.01295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8224db2440e9bef1b143754269018c1dba7edf2282c785808778543279fb62c4","sha256:3e0ffaaef41c711bbb4b742503b922f335a798caa194f25ed60516bf400488a9"],"state_sha256":"d5e4caa2bc171cd584c863981f9b3bdae354ded113b3ea5ba983bcd37da86154"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AyVurl9z83E8sFwoH+m1j/ZI3EZMwHPigHAyDFay6SqfXkKPrl5btFYoGqUuSWvwOKweF6JM0qnF0dupf5BZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T01:33:48.991714Z","bundle_sha256":"093e87ac8ee86d8bc9304aadaf1474fe2effe3dc2d0e0988bc953c7b2defb76a"}}