{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HIB3CCJD2LL5R3Z3UA7H2YEQKB","short_pith_number":"pith:HIB3CCJD","canonical_record":{"source":{"id":"2006.11846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-06-21T16:57:55Z","cross_cats_sorted":["cs.CE","cs.NA","physics.comp-ph"],"title_canon_sha256":"f7dfab419503ac594c9afc214aedf564c1f3636bf24d7928ff43b45a6601ee74","abstract_canon_sha256":"113571d91f0375ef48bbc75409d1b957e67264989551446bf8ee8e958e1f945e"},"schema_version":"1.0"},"canonical_sha256":"3a03b10923d2d7d8ef3ba03e7d6090507a80f561e04be110df8d55dbfcd60926","source":{"kind":"arxiv","id":"2006.11846","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.11846","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.11846v1","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.11846","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_12","alias_value":"HIB3CCJD2LL5","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_16","alias_value":"HIB3CCJD2LL5R3Z3","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_8","alias_value":"HIB3CCJD","created_at":"2026-07-05T01:34:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HIB3CCJD2LL5R3Z3UA7H2YEQKB","target":"record","payload":{"canonical_record":{"source":{"id":"2006.11846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-06-21T16:57:55Z","cross_cats_sorted":["cs.CE","cs.NA","physics.comp-ph"],"title_canon_sha256":"f7dfab419503ac594c9afc214aedf564c1f3636bf24d7928ff43b45a6601ee74","abstract_canon_sha256":"113571d91f0375ef48bbc75409d1b957e67264989551446bf8ee8e958e1f945e"},"schema_version":"1.0"},"canonical_sha256":"3a03b10923d2d7d8ef3ba03e7d6090507a80f561e04be110df8d55dbfcd60926","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:34:09.249269Z","signature_b64":"x9cwcJ8PiyLz+CuKMTcvgZEOgU/P6aq93RxQ2IG8UJwi9Dspame9WqbR7EsVsejBu+PFBOiVKhm6durtFBpzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a03b10923d2d7d8ef3ba03e7d6090507a80f561e04be110df8d55dbfcd60926","last_reissued_at":"2026-07-05T01:34:09.248828Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:34:09.248828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.11846","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":"2026-07-05T01:34:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KiVOyxBntzQsnS506YTeQItbU2qyGTca75U61h4zvwgC7CKSdRwWDbtdxydiDQdCeXyqR5Fb1KJJaoOJWNXnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:40:14.872847Z"},"content_sha256":"41776fcd9f6795e6f49e85a62da74babab4cf0dcd341c9c0fbe77ba6c431a141","schema_version":"1.0","event_id":"sha256:41776fcd9f6795e6f49e85a62da74babab4cf0dcd341c9c0fbe77ba6c431a141"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HIB3CCJD2LL5R3Z3UA7H2YEQKB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Antonio Huerta, Luca Borchini, Matteo Giacomini, Ruben Sevilla","submitted_at":"2020-06-21T16:57:55Z","abstract_excerpt":"This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.11846","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/2006.11846/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":"2026-07-05T01:34:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y6HDTiVMx4erke6xXlOCyHNaQoT4gsCmoqCY7GW/diyPuLwlwKNHThyffowaTGmxVWSt7pAT1Tc75sXi4AxeBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:40:14.873228Z"},"content_sha256":"34327bf45ec9c146b75d4746a717fe0fb274d8dae723961411ddf5dd99ea6e34","schema_version":"1.0","event_id":"sha256:34327bf45ec9c146b75d4746a717fe0fb274d8dae723961411ddf5dd99ea6e34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/bundle.json","state_url":"https://pith.science/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/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":"2026-07-06T17:40:14Z","links":{"resolver":"https://pith.science/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB","bundle":"https://pith.science/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/bundle.json","state":"https://pith.science/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HIB3CCJD2LL5R3Z3UA7H2YEQKB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HIB3CCJD2LL5R3Z3UA7H2YEQKB","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":"113571d91f0375ef48bbc75409d1b957e67264989551446bf8ee8e958e1f945e","cross_cats_sorted":["cs.CE","cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-06-21T16:57:55Z","title_canon_sha256":"f7dfab419503ac594c9afc214aedf564c1f3636bf24d7928ff43b45a6601ee74"},"schema_version":"1.0","source":{"id":"2006.11846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.11846","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.11846v1","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.11846","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_12","alias_value":"HIB3CCJD2LL5","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_16","alias_value":"HIB3CCJD2LL5R3Z3","created_at":"2026-07-05T01:34:09Z"},{"alias_kind":"pith_short_8","alias_value":"HIB3CCJD","created_at":"2026-07-05T01:34:09Z"}],"graph_snapshots":[{"event_id":"sha256:34327bf45ec9c146b75d4746a717fe0fb274d8dae723961411ddf5dd99ea6e34","target":"graph","created_at":"2026-07-05T01:34:09Z","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/2006.11846/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the ","authors_text":"Antonio Huerta, Luca Borchini, Matteo Giacomini, Ruben Sevilla","cross_cats":["cs.CE","cs.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-06-21T16:57:55Z","title":"Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.11846","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":"sha256:41776fcd9f6795e6f49e85a62da74babab4cf0dcd341c9c0fbe77ba6c431a141","target":"record","created_at":"2026-07-05T01:34:09Z","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":"113571d91f0375ef48bbc75409d1b957e67264989551446bf8ee8e958e1f945e","cross_cats_sorted":["cs.CE","cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-06-21T16:57:55Z","title_canon_sha256":"f7dfab419503ac594c9afc214aedf564c1f3636bf24d7928ff43b45a6601ee74"},"schema_version":"1.0","source":{"id":"2006.11846","kind":"arxiv","version":1}},"canonical_sha256":"3a03b10923d2d7d8ef3ba03e7d6090507a80f561e04be110df8d55dbfcd60926","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a03b10923d2d7d8ef3ba03e7d6090507a80f561e04be110df8d55dbfcd60926","first_computed_at":"2026-07-05T01:34:09.248828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:34:09.248828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x9cwcJ8PiyLz+CuKMTcvgZEOgU/P6aq93RxQ2IG8UJwi9Dspame9WqbR7EsVsejBu+PFBOiVKhm6durtFBpzAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:34:09.249269Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.11846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41776fcd9f6795e6f49e85a62da74babab4cf0dcd341c9c0fbe77ba6c431a141","sha256:34327bf45ec9c146b75d4746a717fe0fb274d8dae723961411ddf5dd99ea6e34"],"state_sha256":"a6b28b41533576ccb722fb33006b6dc5ad4a8df1a320d81c090e198c0c9961f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xb+v0N12SBxcLcYjIYVVov2MO36HbnDBHq6HIUB0+1kCJwyUUQfYuG/v54K8FasA/ULiEbSkxK0Rwk7cuvlKBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:40:14.875406Z","bundle_sha256":"bee3a62cd274806c59c182ecc52e9185a3126aa244f37190d2673083c37d8d42"}}