{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:J6AAPXHMMYI7RWSM6TNDPPCN3Y","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":"b0f6f09a175be8ea31c7222f73687c94b38d98db756c04446df615ce9726b360","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-11-19T19:00:07Z","title_canon_sha256":"c406864a1372500d75b7463fd7e2369ecc7a2236b095e9f13dcf91605716bfa2"},"schema_version":"1.0","source":{"id":"2511.15799","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.15799","created_at":"2026-08-11T01:24:32Z"},{"alias_kind":"arxiv_version","alias_value":"2511.15799v3","created_at":"2026-08-11T01:24:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.15799","created_at":"2026-08-11T01:24:32Z"},{"alias_kind":"pith_short_12","alias_value":"J6AAPXHMMYI7","created_at":"2026-08-11T01:24:32Z"},{"alias_kind":"pith_short_16","alias_value":"J6AAPXHMMYI7RWSM","created_at":"2026-08-11T01:24:32Z"},{"alias_kind":"pith_short_8","alias_value":"J6AAPXHM","created_at":"2026-08-11T01:24:32Z"}],"graph_snapshots":[{"event_id":"sha256:74dbe6a39b174089590bdce02a55f63c245b0c60156d67844e78a2b3abda36ab","target":"graph","created_at":"2026-08-11T01:24:32Z","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/2511.15799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish a direct correspondence between Krylov and Nielsen complexity by choosing the Krylov basis to be part of the elementary gate set of Nielsen geometry and selecting a Nielsen complexity metric compatible with the Krylov metric. Up to normalization, the Krylov complexity of a Hermitian operator then equals the length squared of a straight-line trajectory on the manifold of unitaries that connects the identity operator with a precursor operator. The corresponding length provides an upper bound on Nielsen complexity that saturates whenever the straight line is a minimal geodesic. While","authors_text":"Ben Craps, Gabriele Pascuzzi, Juan F. Pedraza, Le-Chen Qu, Shan-Ming Ruan","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-11-19T19:00:07Z","title":"Explicit Connections Between Krylov and Nielsen Complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.15799","kind":"arxiv","version":3},"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":"sha256:349a08b4464dbe3cd46525a0f11fb96db0c0262508665aff455c5508cc289ee8","target":"record","created_at":"2026-08-11T01:24:32Z","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":"b0f6f09a175be8ea31c7222f73687c94b38d98db756c04446df615ce9726b360","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-11-19T19:00:07Z","title_canon_sha256":"c406864a1372500d75b7463fd7e2369ecc7a2236b095e9f13dcf91605716bfa2"},"schema_version":"1.0","source":{"id":"2511.15799","kind":"arxiv","version":3}},"canonical_sha256":"4f8007dcec6611f8da4cf4da37bc4dde2250fc5645d58bad76d59b603a71176c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f8007dcec6611f8da4cf4da37bc4dde2250fc5645d58bad76d59b603a71176c","first_computed_at":"2026-08-11T01:24:32.700377Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:24:32.700377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JDpPX4+RVE6/y+wS98oUqNQoYrt7WHLYNIqr4gdRTDPICLBfYZoGV+e455z4qdVsbWGPKtcTdFMzjdw3ZEtoAw==","signature_status":"signed_v1","signed_at":"2026-08-11T01:24:32.702988Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.15799","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:349a08b4464dbe3cd46525a0f11fb96db0c0262508665aff455c5508cc289ee8","sha256:74dbe6a39b174089590bdce02a55f63c245b0c60156d67844e78a2b3abda36ab"],"state_sha256":"8183b86034a6ba4af61815b6b18cad7a57a74493bab5c8054215c0d10f91caf6"}