{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:ZYGTMNFXOIPVJHCTSOTDVMNFTK","short_pith_number":"pith:ZYGTMNFX","canonical_record":{"source":{"id":"2002.07005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-17T15:31:41Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"eddf8878cb5e6cfb01a4ae48254dd66846f7e885ad3acd393ac1df0a07743202","abstract_canon_sha256":"d71467e51ca32b2916c8b31618f69f5bc9b0885d8e6d482c0c3ed2fcde36bd33"},"schema_version":"1.0"},"canonical_sha256":"ce0d3634b7721f549c5393a63ab1a59aa536883bf21de031a9874ef3f30229cb","source":{"kind":"arxiv","id":"2002.07005","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.07005","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"arxiv_version","alias_value":"2002.07005v1","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.07005","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZYGTMNFXOIPV","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_16","alias_value":"ZYGTMNFXOIPVJHCT","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_8","alias_value":"ZYGTMNFX","created_at":"2026-07-05T02:02:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:ZYGTMNFXOIPVJHCTSOTDVMNFTK","target":"record","payload":{"canonical_record":{"source":{"id":"2002.07005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-17T15:31:41Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"eddf8878cb5e6cfb01a4ae48254dd66846f7e885ad3acd393ac1df0a07743202","abstract_canon_sha256":"d71467e51ca32b2916c8b31618f69f5bc9b0885d8e6d482c0c3ed2fcde36bd33"},"schema_version":"1.0"},"canonical_sha256":"ce0d3634b7721f549c5393a63ab1a59aa536883bf21de031a9874ef3f30229cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:32.467469Z","signature_b64":"acEVpoSJM96avByKlq78iAOYtwkuPWrNW625/Tmvq9sosbbXXGGbv/RkjoX4VUfbxduPSI4ZEE4JuZL+6pTkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce0d3634b7721f549c5393a63ab1a59aa536883bf21de031a9874ef3f30229cb","last_reissued_at":"2026-07-05T02:02:32.466993Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:32.466993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.07005","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":"2026-07-05T02:02:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ln2MQH5edI0C9JfrGbXgOAspOK+BBwcWFV2TE9tzSZ3TXxoU1Sew+YZq8ru4FngoCb7CCZ4H4vXPwTzkw6ETCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T13:25:13.202286Z"},"content_sha256":"385cffc586aad2f4475e2879cb1c35a55d907501b8b2f9d6007d7b09781d24f9","schema_version":"1.0","event_id":"sha256:385cffc586aad2f4475e2879cb1c35a55d907501b8b2f9d6007d7b09781d24f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:ZYGTMNFXOIPVJHCTSOTDVMNFTK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Verification benchmarks for single-phase flow in three-dimensional fractured porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Alessio Fumagalli, Alexandru Tatomir, Anna Scotti, Bernd Flemisch, Chuen-Fa Ni, Daniil Svyatskiy, Dennis Gl\\\"aser, Eirik Keilegavlen, I-Hsien Lee, Inga Berre, Ivar Stefansson, Julian Hennicker, Kirill Nikitin, Klaus Mosthaf, Konstantin Brenner, Konstantin Lipnikov, Marco Favino, Maria Giuseppina Chiara Nestola, Omar Duran, Patrick Zulian, Philippe Devloo, Philipp Sch\\\"adle, Roland Masson, Ruslan Yanbarisov, Samuel Burbulla, Wietse M. Boon","submitted_at":"2020-02-17T15:31:41Z","abstract_excerpt":"Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, we present a portfolio of four benchmark cases for single-phase flow in three-dimensional fractured porous media. The cases are specifically designed to test the methods' capabilities in handling various complexities common to the geometrical structures of fracture n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.07005","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/2002.07005/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":"2026-07-05T02:02:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P3pigN3DGhrwcp+OzuOqo0ToM6MfcHjv0DzpuPyQPfggDyal4k/KicTSZageSa+f1QzgAgyWjyE5uqbnqz/ZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-20T13:25:13.202689Z"},"content_sha256":"f2b633740297fcafc33ca86b16e2a57043967fff61041a50ff22d1ae91570dbf","schema_version":"1.0","event_id":"sha256:f2b633740297fcafc33ca86b16e2a57043967fff61041a50ff22d1ae91570dbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/bundle.json","state_url":"https://pith.science/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/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":"2026-07-20T13:25:13Z","links":{"resolver":"https://pith.science/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK","bundle":"https://pith.science/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/bundle.json","state":"https://pith.science/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYGTMNFXOIPVJHCTSOTDVMNFTK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZYGTMNFXOIPVJHCTSOTDVMNFTK","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":"d71467e51ca32b2916c8b31618f69f5bc9b0885d8e6d482c0c3ed2fcde36bd33","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-17T15:31:41Z","title_canon_sha256":"eddf8878cb5e6cfb01a4ae48254dd66846f7e885ad3acd393ac1df0a07743202"},"schema_version":"1.0","source":{"id":"2002.07005","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.07005","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"arxiv_version","alias_value":"2002.07005v1","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.07005","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZYGTMNFXOIPV","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_16","alias_value":"ZYGTMNFXOIPVJHCT","created_at":"2026-07-05T02:02:32Z"},{"alias_kind":"pith_short_8","alias_value":"ZYGTMNFX","created_at":"2026-07-05T02:02:32Z"}],"graph_snapshots":[{"event_id":"sha256:f2b633740297fcafc33ca86b16e2a57043967fff61041a50ff22d1ae91570dbf","target":"graph","created_at":"2026-07-05T02:02:32Z","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/2002.07005/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the last decade has seen an extensive development of models and numerical methods that explicitly account for their presence. To support these developments, we present a portfolio of four benchmark cases for single-phase flow in three-dimensional fractured porous media. The cases are specifically designed to test the methods' capabilities in handling various complexities common to the geometrical structures of fracture n","authors_text":"Alessio Fumagalli, Alexandru Tatomir, Anna Scotti, Bernd Flemisch, Chuen-Fa Ni, Daniil Svyatskiy, Dennis Gl\\\"aser, Eirik Keilegavlen, I-Hsien Lee, Inga Berre, Ivar Stefansson, Julian Hennicker, Kirill Nikitin, Klaus Mosthaf, Konstantin Brenner, Konstantin Lipnikov, Marco Favino, Maria Giuseppina Chiara Nestola, Omar Duran, Patrick Zulian, Philippe Devloo, Philipp Sch\\\"adle, Roland Masson, Ruslan Yanbarisov, Samuel Burbulla, Wietse M. Boon","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-17T15:31:41Z","title":"Verification benchmarks for single-phase flow in three-dimensional fractured porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.07005","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":"sha256:385cffc586aad2f4475e2879cb1c35a55d907501b8b2f9d6007d7b09781d24f9","target":"record","created_at":"2026-07-05T02:02:32Z","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":"d71467e51ca32b2916c8b31618f69f5bc9b0885d8e6d482c0c3ed2fcde36bd33","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-17T15:31:41Z","title_canon_sha256":"eddf8878cb5e6cfb01a4ae48254dd66846f7e885ad3acd393ac1df0a07743202"},"schema_version":"1.0","source":{"id":"2002.07005","kind":"arxiv","version":1}},"canonical_sha256":"ce0d3634b7721f549c5393a63ab1a59aa536883bf21de031a9874ef3f30229cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce0d3634b7721f549c5393a63ab1a59aa536883bf21de031a9874ef3f30229cb","first_computed_at":"2026-07-05T02:02:32.466993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:02:32.466993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"acEVpoSJM96avByKlq78iAOYtwkuPWrNW625/Tmvq9sosbbXXGGbv/RkjoX4VUfbxduPSI4ZEE4JuZL+6pTkBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:02:32.467469Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.07005","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:385cffc586aad2f4475e2879cb1c35a55d907501b8b2f9d6007d7b09781d24f9","sha256:f2b633740297fcafc33ca86b16e2a57043967fff61041a50ff22d1ae91570dbf"],"state_sha256":"6eff8f4c33461c59182a8539b220a859f169f2ce09efbf3428611e23e0355b2b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/6t8OGZwKLCUS1HnJOKOk9GxB9aMmadO4tbxicHFaDML6rz03qi3AGICi+muTQQE+RFVUalwADeedqu+lsGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-20T13:25:13.205049Z","bundle_sha256":"bebf8a944ddc32f130a541f6f7c45f2fe2f8396f0aa3e1905bbc6d5181204748"}}