{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IEGU74OGOK4CAKYZMLNWH73EZY","short_pith_number":"pith:IEGU74OG","schema_version":"1.0","canonical_sha256":"410d4ff1c672b8202b1962db63ff64ce264e11037c82536925ecec2f867f0b1f","source":{"kind":"arxiv","id":"1709.08422","version":6},"attestation_state":"computed","paper":{"title":"Martin-L\\\"of random quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andr\\'e Nies, Volkher Scholz","submitted_at":"2017-09-25T11:00:10Z","abstract_excerpt":"We extend the key notion of Martin-L\\\"of randomness for infinite bit sequences to the quantum setting, where the sequences become states of an infinite dimensional system. We work towards showing an analogy with the Levin-Schnorr theorem to characterise quantum ML-randomness of states by incompressibility (in the sense of quantum Turing machines) of all initial segments."},"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":"1709.08422","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-09-25T11:00:10Z","cross_cats_sorted":[],"title_canon_sha256":"06b3b937f808f5e4dbfccbe7b25a7f5e6bcc077da2a9165528cfc29efabc3132","abstract_canon_sha256":"d145f0d4c0f161cb846979528239a64d562a8ef8a2c21db235d0bff3716216b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:32.538613Z","signature_b64":"M/hv5UJbaZin3sYkMVsvEUzJCP9/rrMldA09vacbzsGn28fZ9VbhhNZjTgG4+Ubv7MIcDNwZEjYqzrnUwfnKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"410d4ff1c672b8202b1962db63ff64ce264e11037c82536925ecec2f867f0b1f","last_reissued_at":"2026-05-17T23:39:32.537892Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:32.537892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Martin-L\\\"of random quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andr\\'e Nies, Volkher Scholz","submitted_at":"2017-09-25T11:00:10Z","abstract_excerpt":"We extend the key notion of Martin-L\\\"of randomness for infinite bit sequences to the quantum setting, where the sequences become states of an infinite dimensional system. We work towards showing an analogy with the Levin-Schnorr theorem to characterise quantum ML-randomness of states by incompressibility (in the sense of quantum Turing machines) of all initial segments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08422","kind":"arxiv","version":6},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1709.08422","created_at":"2026-05-17T23:39:32.538022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.08422v6","created_at":"2026-05-17T23:39:32.538022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08422","created_at":"2026-05-17T23:39:32.538022+00:00"},{"alias_kind":"pith_short_12","alias_value":"IEGU74OGOK4C","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IEGU74OGOK4CAKYZ","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IEGU74OG","created_at":"2026-05-18T12:31:21.493067+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/IEGU74OGOK4CAKYZMLNWH73EZY","json":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY.json","graph_json":"https://pith.science/api/pith-number/IEGU74OGOK4CAKYZMLNWH73EZY/graph.json","events_json":"https://pith.science/api/pith-number/IEGU74OGOK4CAKYZMLNWH73EZY/events.json","paper":"https://pith.science/paper/IEGU74OG"},"agent_actions":{"view_html":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY","download_json":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY.json","view_paper":"https://pith.science/paper/IEGU74OG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.08422&json=true","fetch_graph":"https://pith.science/api/pith-number/IEGU74OGOK4CAKYZMLNWH73EZY/graph.json","fetch_events":"https://pith.science/api/pith-number/IEGU74OGOK4CAKYZMLNWH73EZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY/action/storage_attestation","attest_author":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY/action/author_attestation","sign_citation":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY/action/citation_signature","submit_replication":"https://pith.science/pith/IEGU74OGOK4CAKYZMLNWH73EZY/action/replication_record"}},"created_at":"2026-05-17T23:39:32.538022+00:00","updated_at":"2026-05-17T23:39:32.538022+00:00"}