{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7HJ37VOY3PWNSTEPJ7EIPBGG44","short_pith_number":"pith:7HJ37VOY","schema_version":"1.0","canonical_sha256":"f9d3bfd5d8dbecd94c8f4fc88784c6e72480b740aaf48b351f70f880a076048e","source":{"kind":"arxiv","id":"2606.06759","version":1},"attestation_state":"computed","paper":{"title":"Bures geodesics for non-faithful states and quantum speed limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominique Spehner, Sergio Carrasco","submitted_at":"2026-06-04T22:49:38Z","abstract_excerpt":"The quantum speed limit establishes a bound on the minimal time required for a quantum system to evolve from a given initial state to a final state. When the mean energy variance is fixed this limitation is captured by the Mandelstam--Tamm bound. The fastest quantum evolution saturating this bound follows a geodesic arc connecting the two states. Such geodesics in the manifold of quantum states are explicitly known when the states are pure (Fubini-Study geodesics) and when they are mixed and given by faithful density matrices (Bures geodesics). In this article we obtain the explicit form of th"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.06759","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-04T22:49:38Z","cross_cats_sorted":[],"title_canon_sha256":"2944390f61d96e254be5c4526b61055f54aa7c9f548d89f908a59c6f30fa7b08","abstract_canon_sha256":"9b3e6471aaa6df4b799115e3661e5bc84c327a97d1ffca949cb804839d8f73e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:04:26.864513Z","signature_b64":"nW0YzPet7kuVz/MVdAj34NJ5C8S05wq85Pt9a/fG3lPcm7I1FkgXUEk2nbF5lw659aurdCv05hFF/Y9Ca1vtAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9d3bfd5d8dbecd94c8f4fc88784c6e72480b740aaf48b351f70f880a076048e","last_reissued_at":"2026-06-08T01:04:26.863727Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:04:26.863727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bures geodesics for non-faithful states and quantum speed limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominique Spehner, Sergio Carrasco","submitted_at":"2026-06-04T22:49:38Z","abstract_excerpt":"The quantum speed limit establishes a bound on the minimal time required for a quantum system to evolve from a given initial state to a final state. When the mean energy variance is fixed this limitation is captured by the Mandelstam--Tamm bound. The fastest quantum evolution saturating this bound follows a geodesic arc connecting the two states. Such geodesics in the manifold of quantum states are explicitly known when the states are pure (Fubini-Study geodesics) and when they are mixed and given by faithful density matrices (Bures geodesics). In this article we obtain the explicit form of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06759","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/2606.06759/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.06759","created_at":"2026-06-08T01:04:26.863861+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.06759v1","created_at":"2026-06-08T01:04:26.863861+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06759","created_at":"2026-06-08T01:04:26.863861+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HJ37VOY3PWN","created_at":"2026-06-08T01:04:26.863861+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HJ37VOY3PWNSTEP","created_at":"2026-06-08T01:04:26.863861+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HJ37VOY","created_at":"2026-06-08T01:04:26.863861+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44","json":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44.json","graph_json":"https://pith.science/api/pith-number/7HJ37VOY3PWNSTEPJ7EIPBGG44/graph.json","events_json":"https://pith.science/api/pith-number/7HJ37VOY3PWNSTEPJ7EIPBGG44/events.json","paper":"https://pith.science/paper/7HJ37VOY"},"agent_actions":{"view_html":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44","download_json":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44.json","view_paper":"https://pith.science/paper/7HJ37VOY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.06759&json=true","fetch_graph":"https://pith.science/api/pith-number/7HJ37VOY3PWNSTEPJ7EIPBGG44/graph.json","fetch_events":"https://pith.science/api/pith-number/7HJ37VOY3PWNSTEPJ7EIPBGG44/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44/action/storage_attestation","attest_author":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44/action/author_attestation","sign_citation":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44/action/citation_signature","submit_replication":"https://pith.science/pith/7HJ37VOY3PWNSTEPJ7EIPBGG44/action/replication_record"}},"created_at":"2026-06-08T01:04:26.863861+00:00","updated_at":"2026-06-08T01:04:26.863861+00:00"}