{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VCQ3USXNPULH7IV2TKV2Z5MC22","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":"0ed4d75fd4e78ff8d643c8fc10936553cfa47ae17042f1e2031e5724f73c5ca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-08-11T15:10:44Z","title_canon_sha256":"ee78c9c27415a58ffe7f4764481f347994ae0a8a88446717a4f077adebe180ee"},"schema_version":"1.0","source":{"id":"1208.2358","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2358","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2358v1","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2358","created_at":"2026-05-18T03:48:58Z"},{"alias_kind":"pith_short_12","alias_value":"VCQ3USXNPULH","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VCQ3USXNPULH7IV2","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VCQ3USXN","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:9522583923ac71ebfd2bface080fab852d8b21dbe7c7658b5f69dea738b8250c","target":"graph","created_at":"2026-05-18T03:48:58Z","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":"The paper presents analytical solution for hydraulic fracture driven by a non-Newtonian fluid and propagating under plane strain conditions in cross sections parallel to the fracture front. Conclusions are drawn on the influence of the fluid properties on the fracture propagation.","authors_text":"Alexander Linkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-08-11T15:10:44Z","title":"PKN problem for non-Newtonian fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2358","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":"sha256:7dc40b83831a453c5dd560af0353c445375521b76ab36e06c97cd4f3d828c467","target":"record","created_at":"2026-05-18T03:48:58Z","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":"0ed4d75fd4e78ff8d643c8fc10936553cfa47ae17042f1e2031e5724f73c5ca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2012-08-11T15:10:44Z","title_canon_sha256":"ee78c9c27415a58ffe7f4764481f347994ae0a8a88446717a4f077adebe180ee"},"schema_version":"1.0","source":{"id":"1208.2358","kind":"arxiv","version":1}},"canonical_sha256":"a8a1ba4aed7d167fa2ba9aabacf582d6961880015c725fb74d41704c26b4d910","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8a1ba4aed7d167fa2ba9aabacf582d6961880015c725fb74d41704c26b4d910","first_computed_at":"2026-05-18T03:48:58.078211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:58.078211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X1Me8U8wo/SXV4ILf3HFzum5oBRhSfb6g0ArCLZ6Ogzx9m3KYkEjpmJRX75cGeuMv81n2pWIimf3GVbn+13qCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:58.078984Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2358","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7dc40b83831a453c5dd560af0353c445375521b76ab36e06c97cd4f3d828c467","sha256:9522583923ac71ebfd2bface080fab852d8b21dbe7c7658b5f69dea738b8250c"],"state_sha256":"83ebfaf465d46336536228c58bd2efc28a68d534a1448ac3df9a84a6c3a303ac"}