{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ERKGHSFVAYILPLHNRWXQO3KLSW","merge_version":"pith-open-graph-merge-v1","event_count":9,"valid_event_count":9,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3ad0c1968f76609d01ee03e584b790a63c3a6416c4d7b6d1103c00d5f69a4b14","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-09T22:44:18Z","title_canon_sha256":"915b4ff8dbc68e2b7cc17a38d5feb46abc205e4e03ac7ab480c82fd740d1fa88"},"schema_version":"1.0","source":{"id":"2607.08976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.08976","created_at":"2026-07-13T00:17:31Z"},{"alias_kind":"arxiv_version","alias_value":"2607.08976v1","created_at":"2026-07-13T00:17:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.08976","created_at":"2026-07-13T00:17:31Z"},{"alias_kind":"pith_short_12","alias_value":"ERKGHSFVAYIL","created_at":"2026-07-13T00:17:31Z"},{"alias_kind":"pith_short_16","alias_value":"ERKGHSFVAYILPLHN","created_at":"2026-07-13T00:17:31Z"},{"alias_kind":"pith_short_8","alias_value":"ERKGHSFV","created_at":"2026-07-13T00:17:31Z"}],"graph_snapshots":[{"event_id":"sha256:7a10ddddc9c66e3724a6909e29bb03e9d12a01abe3891b670516a80575c2c3d3","target":"graph","created_at":"2026-07-13T00:17:31Z","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/2607.08976/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Efficiently solving nonlinear ordinary and partial differential equations using a quantum computer is a major challenge due its inherent linearity. To circumvent this challenge, the Carleman linearization method has been proposed to transform a nonlinear ordinary differential equation into a linear system of equations, the primary advantage being that existing quantum linear systems algorithms may then be applied to obtain a solution. However, this methodology also brings forth several major challenges that must be addressed to attain a quantum advantage. Herein, we address several of these ch","authors_text":"Hayk Tepanyan, Hrant Gharibyan, Reuben Demirdjian, Vincent P. Su, Yvan Quinn","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-09T22:44:18Z","title":"A Scalable Approach to Solve the Carleman Linearized Burgers' Equation on a Quantum Computer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.08976","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":"sha256:18cc543a1dc8fa215993b72b385458c066e895511c96f003ada683553db92f00","target":"record","created_at":"2026-07-13T00:17:31Z","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":"3ad0c1968f76609d01ee03e584b790a63c3a6416c4d7b6d1103c00d5f69a4b14","cross_cats_sorted":["physics.flu-dyn"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-09T22:44:18Z","title_canon_sha256":"915b4ff8dbc68e2b7cc17a38d5feb46abc205e4e03ac7ab480c82fd740d1fa88"},"schema_version":"1.0","source":{"id":"2607.08976","kind":"arxiv","version":1}},"canonical_sha256":"245463c8b50610b7aced8daf076d4b95b7e0dc9a65572863d574790f55c073b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"245463c8b50610b7aced8daf076d4b95b7e0dc9a65572863d574790f55c073b3","first_computed_at":"2026-07-13T00:17:31.530128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T00:17:31.530128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBgilAsAbUwaUoc1fZSrDzB0p8K14LWla++RB5Lx/zP4mSgC6PyNLwnam5ZoIlnsHZtEKk6csBJ4p3X0GXEqAw==","signature_status":"signed_v1","signed_at":"2026-07-13T00:17:31.531286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.08976","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:043fba0ea946ee22642d6dd73a936d01887803a1fa8bc68627f6a3cf7d0209d7","sha256:393acc71845a14d32868628d26f6edd85482f134630cd2581bee9d64e33e0c69","sha256:6ede53a138c217ba3fa4246b3d7b5cdca2793b1b50602950864e4533942389d9","sha256:7d29817e75d386a35aadecf045004b4affb7cfc484f2fa50ec63b6cecf38ad23","sha256:a55efd1ac091d8a39a23a4fdb51f84d9aa1d802a6f061ca4511d7845cb20948a","sha256:b8d8072873b030263b2ecc416ed875456aa8135b797e0073fc8e193c58d0baa5","sha256:d7160215cc17752fbc02ac5fe34b02e552359f394603a92357b1c76b48ef89a0"]}],"invalid_events":[],"applied_event_ids":["sha256:18cc543a1dc8fa215993b72b385458c066e895511c96f003ada683553db92f00","sha256:7a10ddddc9c66e3724a6909e29bb03e9d12a01abe3891b670516a80575c2c3d3"],"state_sha256":"8663f8d66fc56b6f925ec7839d98277211f28f3ac37aa1995b3d8f0e16d4b04e"}