{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YEEQU62RGSUEWKXWELTXXU3DUI","short_pith_number":"pith:YEEQU62R","canonical_record":{"source":{"id":"0805.1686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-05-12T17:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"738930d3721b7a8f18560abc4aabe385d943d8e9d064565079457fde1a57c8b6","abstract_canon_sha256":"d6b543e1d242cbfc7d0d79519c1a067c7d90b71d02ecd5c403adf75dfa48f17c"},"schema_version":"1.0"},"canonical_sha256":"c1090a7b5134a84b2af622e77bd363a226b805f5866ca01cda5c38d1d6fe60f2","source":{"kind":"arxiv","id":"0805.1686","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.1686","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"arxiv_version","alias_value":"0805.1686v1","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.1686","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_12","alias_value":"YEEQU62RGSUE","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_16","alias_value":"YEEQU62RGSUEWKXW","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_8","alias_value":"YEEQU62R","created_at":"2026-07-04T15:11:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YEEQU62RGSUEWKXWELTXXU3DUI","target":"record","payload":{"canonical_record":{"source":{"id":"0805.1686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-05-12T17:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"738930d3721b7a8f18560abc4aabe385d943d8e9d064565079457fde1a57c8b6","abstract_canon_sha256":"d6b543e1d242cbfc7d0d79519c1a067c7d90b71d02ecd5c403adf75dfa48f17c"},"schema_version":"1.0"},"canonical_sha256":"c1090a7b5134a84b2af622e77bd363a226b805f5866ca01cda5c38d1d6fe60f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:11:30.910050Z","signature_b64":"VhL+DtOJAOUg4nnBokXtGBipppCkgu2f9Mp046njAXvufSeEPrCYpjsw8EdVyVqvJbZR12q5VFXU4aUQq6T+BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1090a7b5134a84b2af622e77bd363a226b805f5866ca01cda5c38d1d6fe60f2","last_reissued_at":"2026-07-04T15:11:30.909669Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:11:30.909669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.1686","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:11:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"065P8tVEIiUmiuYJBXuLQom7J9tuBxEhDzEHlSdFehG9ItsHqWfzf4JXJ3LVZMP9Z+su8pyj1YkdXVHOeBZNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:22:45.198652Z"},"content_sha256":"969966cb132c2a2dd1e13b60c51b436a3924ff8336d970069b27963f75c38297","schema_version":"1.0","event_id":"sha256:969966cb132c2a2dd1e13b60c51b436a3924ff8336d970069b27963f75c38297"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YEEQU62RGSUEWKXWELTXXU3DUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved constructions of quantum automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Andris Ambainis, Nikolajs Nahimovs","submitted_at":"2008-05-12T17:02:11Z","abstract_excerpt":"We present a simple construction of quantum automata which achieve an exponential advantage over classical finite automata. Our automata use \\frac{4}{\\epsilon} \\log 2p + O(1) states to recognize a language that requires p states classically. The construction is both substantially simpler and achieves a better constant in the front of \\log p than the previously known construction of Ambainis and Freivalds (quant-ph/9802062).\n  Similarly to Ambainis and Freivalds, our construction is by a probabilistic argument. We consider the possibility to derandomize it and present some results in this direc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.1686","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/0805.1686/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":"2026-07-04T15:11:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/X0878mFQTwG3fXeYGgCWvVaoXYLPMRUEGKSFmekRCHls5eoHW5Wwnf9pzSdox9GbPokSMuk2cZy+4pcMOm/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T06:22:45.199190Z"},"content_sha256":"6806ed30afd2553e0ac90984171795417cc081ec46ba2ddab62114e8c31fe16c","schema_version":"1.0","event_id":"sha256:6806ed30afd2553e0ac90984171795417cc081ec46ba2ddab62114e8c31fe16c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YEEQU62RGSUEWKXWELTXXU3DUI/bundle.json","state_url":"https://pith.science/pith/YEEQU62RGSUEWKXWELTXXU3DUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YEEQU62RGSUEWKXWELTXXU3DUI/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":"2026-08-07T06:22:45Z","links":{"resolver":"https://pith.science/pith/YEEQU62RGSUEWKXWELTXXU3DUI","bundle":"https://pith.science/pith/YEEQU62RGSUEWKXWELTXXU3DUI/bundle.json","state":"https://pith.science/pith/YEEQU62RGSUEWKXWELTXXU3DUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YEEQU62RGSUEWKXWELTXXU3DUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YEEQU62RGSUEWKXWELTXXU3DUI","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":"d6b543e1d242cbfc7d0d79519c1a067c7d90b71d02ecd5c403adf75dfa48f17c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-05-12T17:02:11Z","title_canon_sha256":"738930d3721b7a8f18560abc4aabe385d943d8e9d064565079457fde1a57c8b6"},"schema_version":"1.0","source":{"id":"0805.1686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.1686","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"arxiv_version","alias_value":"0805.1686v1","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.1686","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_12","alias_value":"YEEQU62RGSUE","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_16","alias_value":"YEEQU62RGSUEWKXW","created_at":"2026-07-04T15:11:30Z"},{"alias_kind":"pith_short_8","alias_value":"YEEQU62R","created_at":"2026-07-04T15:11:30Z"}],"graph_snapshots":[{"event_id":"sha256:6806ed30afd2553e0ac90984171795417cc081ec46ba2ddab62114e8c31fe16c","target":"graph","created_at":"2026-07-04T15:11:30Z","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/0805.1686/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a simple construction of quantum automata which achieve an exponential advantage over classical finite automata. Our automata use \\frac{4}{\\epsilon} \\log 2p + O(1) states to recognize a language that requires p states classically. The construction is both substantially simpler and achieves a better constant in the front of \\log p than the previously known construction of Ambainis and Freivalds (quant-ph/9802062).\n  Similarly to Ambainis and Freivalds, our construction is by a probabilistic argument. We consider the possibility to derandomize it and present some results in this direc","authors_text":"Andris Ambainis, Nikolajs Nahimovs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-05-12T17:02:11Z","title":"Improved constructions of quantum automata"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.1686","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":"sha256:969966cb132c2a2dd1e13b60c51b436a3924ff8336d970069b27963f75c38297","target":"record","created_at":"2026-07-04T15:11:30Z","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":"d6b543e1d242cbfc7d0d79519c1a067c7d90b71d02ecd5c403adf75dfa48f17c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-05-12T17:02:11Z","title_canon_sha256":"738930d3721b7a8f18560abc4aabe385d943d8e9d064565079457fde1a57c8b6"},"schema_version":"1.0","source":{"id":"0805.1686","kind":"arxiv","version":1}},"canonical_sha256":"c1090a7b5134a84b2af622e77bd363a226b805f5866ca01cda5c38d1d6fe60f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1090a7b5134a84b2af622e77bd363a226b805f5866ca01cda5c38d1d6fe60f2","first_computed_at":"2026-07-04T15:11:30.909669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:11:30.909669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VhL+DtOJAOUg4nnBokXtGBipppCkgu2f9Mp046njAXvufSeEPrCYpjsw8EdVyVqvJbZR12q5VFXU4aUQq6T+BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:11:30.910050Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.1686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:969966cb132c2a2dd1e13b60c51b436a3924ff8336d970069b27963f75c38297","sha256:6806ed30afd2553e0ac90984171795417cc081ec46ba2ddab62114e8c31fe16c"],"state_sha256":"7482933846a86f4bdb2a4778cff612302de48739b9ab24a08ca8f0fd9dfc9cc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VBHIcmYS+JFsLaVvRq0OKJ522hqKBdOlQ7JoW8MvEoiDTP9kp2dLyKn5p6ssqomfu/p1Y+XY6oZSf7lS+HilDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T06:22:45.202455Z","bundle_sha256":"4630867d7b1ca60272be5ee164fe58e4623b0ce3a728987afd3e7cb8f5cbb69c"}}