{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:63D5XIKJFQJB7I5TH6X2LEQLGX","short_pith_number":"pith:63D5XIKJ","canonical_record":{"source":{"id":"quant-ph/0701115","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-01-17T01:21:34Z","cross_cats_sorted":[],"title_canon_sha256":"a10f35ff48c2f81948ccd1be43aaa88f399c3faa1a824a08649656325f927923","abstract_canon_sha256":"1b48e95994f52d6badc9dfeb1e30e27958a2f06341d51bdd6ea58556ab84cb7b"},"schema_version":"1.0"},"canonical_sha256":"f6c7dba1492c121fa3b33fafa5920b35d706a3cc8502a0e2d0f496946f5c9a69","source":{"kind":"arxiv","id":"quant-ph/0701115","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0701115","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0701115v2","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0701115","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_12","alias_value":"63D5XIKJFQJB","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_16","alias_value":"63D5XIKJFQJB7I5T","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_8","alias_value":"63D5XIKJ","created_at":"2026-07-04T14:58:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:63D5XIKJFQJB7I5TH6X2LEQLGX","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0701115","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-01-17T01:21:34Z","cross_cats_sorted":[],"title_canon_sha256":"a10f35ff48c2f81948ccd1be43aaa88f399c3faa1a824a08649656325f927923","abstract_canon_sha256":"1b48e95994f52d6badc9dfeb1e30e27958a2f06341d51bdd6ea58556ab84cb7b"},"schema_version":"1.0"},"canonical_sha256":"f6c7dba1492c121fa3b33fafa5920b35d706a3cc8502a0e2d0f496946f5c9a69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:58:49.480878Z","signature_b64":"9gb0O24Y45BG1+9MAQ4IVGZ8OE0qApGReL7dKv/cIHbj/8tKcrnehThttEjaBvqrRi22Ek44Rdi4GUlbbW2hDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6c7dba1492c121fa3b33fafa5920b35d706a3cc8502a0e2d0f496946f5c9a69","last_reissued_at":"2026-07-04T14:58:49.480471Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:58:49.480471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0701115","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:58:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQ3CtlovXbSCMPGdeU77KyGAmUvsorjlFwcocX5Z3yHLyCHAqu5mF/O05LubMLuCLHaAyRF6gQq1TY4m5CAtDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T05:09:13.860569Z"},"content_sha256":"17236cb4024222c38437f27fcd1ef79d0282fb5db5f902a5d8737eaad355070d","schema_version":"1.0","event_id":"sha256:17236cb4024222c38437f27fcd1ef79d0282fb5db5f902a5d8737eaad355070d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:63D5XIKJFQJB7I5TH6X2LEQLGX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A classical one-way function to confound quantum adversaries","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alexander Russell, Cristopher Moore, Umesh Vazirani","submitted_at":"2007-01-17T01:21:34Z","abstract_excerpt":"The promise of quantum computation and its consequences for complexity-theoretic cryptography motivates an immediate search for cryptosystems which can be implemented with current technology, but which remain secure even in the presence of quantum computers. Inspired by recent negative results pertaining to the nonabelian hidden subgroup problem, we present here a classical algebraic function $f_V(M)$ of a matrix $M$ which we believe is a one-way function secure against quantum attacks. Specifically, inverting $f_V$ reduces naturally to solving a hidden subgroup problem over the general linear"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0701115","kind":"arxiv","version":2},"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/quant-ph/0701115/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:58:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uUgZEQH9ccK+W06k3wTl9G3rGyQ5rMysAQ1AZUyIeWWe0j7v6Djo55jMNX9Oa5F1R16U+5nMy/lWDojnkzA9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T05:09:13.860916Z"},"content_sha256":"9dedbb973cbdfc94135af9f0e2c065652e00b7f39290571ea674cfe50049f22a","schema_version":"1.0","event_id":"sha256:9dedbb973cbdfc94135af9f0e2c065652e00b7f39290571ea674cfe50049f22a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/bundle.json","state_url":"https://pith.science/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-17T05:09:13Z","links":{"resolver":"https://pith.science/pith/63D5XIKJFQJB7I5TH6X2LEQLGX","bundle":"https://pith.science/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/bundle.json","state":"https://pith.science/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/63D5XIKJFQJB7I5TH6X2LEQLGX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:63D5XIKJFQJB7I5TH6X2LEQLGX","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":"1b48e95994f52d6badc9dfeb1e30e27958a2f06341d51bdd6ea58556ab84cb7b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-01-17T01:21:34Z","title_canon_sha256":"a10f35ff48c2f81948ccd1be43aaa88f399c3faa1a824a08649656325f927923"},"schema_version":"1.0","source":{"id":"quant-ph/0701115","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0701115","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0701115v2","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0701115","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_12","alias_value":"63D5XIKJFQJB","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_16","alias_value":"63D5XIKJFQJB7I5T","created_at":"2026-07-04T14:58:49Z"},{"alias_kind":"pith_short_8","alias_value":"63D5XIKJ","created_at":"2026-07-04T14:58:49Z"}],"graph_snapshots":[{"event_id":"sha256:9dedbb973cbdfc94135af9f0e2c065652e00b7f39290571ea674cfe50049f22a","target":"graph","created_at":"2026-07-04T14:58:49Z","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/quant-ph/0701115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The promise of quantum computation and its consequences for complexity-theoretic cryptography motivates an immediate search for cryptosystems which can be implemented with current technology, but which remain secure even in the presence of quantum computers. Inspired by recent negative results pertaining to the nonabelian hidden subgroup problem, we present here a classical algebraic function $f_V(M)$ of a matrix $M$ which we believe is a one-way function secure against quantum attacks. Specifically, inverting $f_V$ reduces naturally to solving a hidden subgroup problem over the general linear","authors_text":"Alexander Russell, Cristopher Moore, Umesh Vazirani","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-01-17T01:21:34Z","title":"A classical one-way function to confound quantum adversaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0701115","kind":"arxiv","version":2},"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":"sha256:17236cb4024222c38437f27fcd1ef79d0282fb5db5f902a5d8737eaad355070d","target":"record","created_at":"2026-07-04T14:58:49Z","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":"1b48e95994f52d6badc9dfeb1e30e27958a2f06341d51bdd6ea58556ab84cb7b","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2007-01-17T01:21:34Z","title_canon_sha256":"a10f35ff48c2f81948ccd1be43aaa88f399c3faa1a824a08649656325f927923"},"schema_version":"1.0","source":{"id":"quant-ph/0701115","kind":"arxiv","version":2}},"canonical_sha256":"f6c7dba1492c121fa3b33fafa5920b35d706a3cc8502a0e2d0f496946f5c9a69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6c7dba1492c121fa3b33fafa5920b35d706a3cc8502a0e2d0f496946f5c9a69","first_computed_at":"2026-07-04T14:58:49.480471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:58:49.480471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gb0O24Y45BG1+9MAQ4IVGZ8OE0qApGReL7dKv/cIHbj/8tKcrnehThttEjaBvqrRi22Ek44Rdi4GUlbbW2hDg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:58:49.480878Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0701115","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17236cb4024222c38437f27fcd1ef79d0282fb5db5f902a5d8737eaad355070d","sha256:9dedbb973cbdfc94135af9f0e2c065652e00b7f39290571ea674cfe50049f22a"],"state_sha256":"13e67ef079048d8ad19f694f44069da3faff9f6c2d7ea307a4a446ea7525ec82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2UZKPU95hACFnx9IM9a4ZMsT7x7DhZfQ4H1XmDkKcm3ixstRpletP0L+AN3JMNIX20EH56VkPwPOJCKAWl6JCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T05:09:13.863142Z","bundle_sha256":"d91102e85e81d5aa61f9e72e876310c70bf36c05de690b943740b67d59a5c273"}}