{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:6LQS5TMMDBDKAWKPXWRQLWYB4F","short_pith_number":"pith:6LQS5TMM","canonical_record":{"source":{"id":"2002.00260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-01T19:20:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"7e184c3d3a0d5a6485ecd4d715fa721c7e04c0789642d8a7d6d74ecaf4f7637d","abstract_canon_sha256":"99664682014d1fa249ec7db8049097676690084b97f27fb49c432ab537f353dd"},"schema_version":"1.0"},"canonical_sha256":"f2e12ecd8c1846a0594fbda305db01e15504217d057afb1c1e7b854d9bdd10a7","source":{"kind":"arxiv","id":"2002.00260","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.00260","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"2002.00260v1","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.00260","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"6LQS5TMMDBDK","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_16","alias_value":"6LQS5TMMDBDKAWKP","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_8","alias_value":"6LQS5TMM","created_at":"2026-07-05T00:38:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:6LQS5TMMDBDKAWKPXWRQLWYB4F","target":"record","payload":{"canonical_record":{"source":{"id":"2002.00260","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-01T19:20:01Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"7e184c3d3a0d5a6485ecd4d715fa721c7e04c0789642d8a7d6d74ecaf4f7637d","abstract_canon_sha256":"99664682014d1fa249ec7db8049097676690084b97f27fb49c432ab537f353dd"},"schema_version":"1.0"},"canonical_sha256":"f2e12ecd8c1846a0594fbda305db01e15504217d057afb1c1e7b854d9bdd10a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:38:36.285759Z","signature_b64":"o+M2WWnX+eMN0uTzPalAbP1VfR/BHYlbEyQHpglqaIFh20FDN+TL0ldTKmmP+VCjcLFp6nXQYiHhaToTenuPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2e12ecd8c1846a0594fbda305db01e15504217d057afb1c1e7b854d9bdd10a7","last_reissued_at":"2026-07-05T00:38:36.285300Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:38:36.285300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2002.00260","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":"2026-07-05T00:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"14zDAh2YrmMTJAadlPumfS/5LW46Y3PxdX71px64CAQoN21Xd1/F1WSVoQ1BMnyCM8iJ8+8mW3tsvPOe7xzvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T04:08:07.949989Z"},"content_sha256":"79025657220a9cbb6e348900fc8421174ce479aafb78d5440c0ba0af9bc5f49d","schema_version":"1.0","event_id":"sha256:79025657220a9cbb6e348900fc8421174ce479aafb78d5440c0ba0af9bc5f49d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:6LQS5TMMDBDKAWKPXWRQLWYB4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-Time Analysis of Asynchronous Stochastic Approximation and $Q$-Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Adam Wierman, Guannan Qu","submitted_at":"2020-02-01T19:20:01Z","abstract_excerpt":"We consider a general asynchronous Stochastic Approximation (SA) scheme featuring a weighted infinity-norm contractive operator, and prove a bound on its finite-time convergence rate on a single trajectory. Additionally, we specialize the result to asynchronous $Q$-learning. The resulting bound matches the sharpest available bound for synchronous $Q$-learning, and improves over previous known bounds for asynchronous $Q$-learning."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.00260","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/2002.00260/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":"2026-07-05T00:38:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MfY8Qc7oPu89//OzukuERAW7lfOfAXqoYM3SA9W2h7SInm3CQcUkSV/juantkzwGvei9P0Kdc0jov3Uv6KFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-22T04:08:07.950365Z"},"content_sha256":"c002fd30320665a4b410e37fac77336dc7c97a46b98ecceaa393429497a3604c","schema_version":"1.0","event_id":"sha256:c002fd30320665a4b410e37fac77336dc7c97a46b98ecceaa393429497a3604c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/bundle.json","state_url":"https://pith.science/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/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":"2026-07-22T04:08:07Z","links":{"resolver":"https://pith.science/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F","bundle":"https://pith.science/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/bundle.json","state":"https://pith.science/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6LQS5TMMDBDKAWKPXWRQLWYB4F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6LQS5TMMDBDKAWKPXWRQLWYB4F","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":"99664682014d1fa249ec7db8049097676690084b97f27fb49c432ab537f353dd","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-01T19:20:01Z","title_canon_sha256":"7e184c3d3a0d5a6485ecd4d715fa721c7e04c0789642d8a7d6d74ecaf4f7637d"},"schema_version":"1.0","source":{"id":"2002.00260","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.00260","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"arxiv_version","alias_value":"2002.00260v1","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.00260","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_12","alias_value":"6LQS5TMMDBDK","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_16","alias_value":"6LQS5TMMDBDKAWKP","created_at":"2026-07-05T00:38:36Z"},{"alias_kind":"pith_short_8","alias_value":"6LQS5TMM","created_at":"2026-07-05T00:38:36Z"}],"graph_snapshots":[{"event_id":"sha256:c002fd30320665a4b410e37fac77336dc7c97a46b98ecceaa393429497a3604c","target":"graph","created_at":"2026-07-05T00:38:36Z","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/2002.00260/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a general asynchronous Stochastic Approximation (SA) scheme featuring a weighted infinity-norm contractive operator, and prove a bound on its finite-time convergence rate on a single trajectory. Additionally, we specialize the result to asynchronous $Q$-learning. The resulting bound matches the sharpest available bound for synchronous $Q$-learning, and improves over previous known bounds for asynchronous $Q$-learning.","authors_text":"Adam Wierman, Guannan Qu","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-01T19:20:01Z","title":"Finite-Time Analysis of Asynchronous Stochastic Approximation and $Q$-Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.00260","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":"sha256:79025657220a9cbb6e348900fc8421174ce479aafb78d5440c0ba0af9bc5f49d","target":"record","created_at":"2026-07-05T00:38:36Z","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":"99664682014d1fa249ec7db8049097676690084b97f27fb49c432ab537f353dd","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-02-01T19:20:01Z","title_canon_sha256":"7e184c3d3a0d5a6485ecd4d715fa721c7e04c0789642d8a7d6d74ecaf4f7637d"},"schema_version":"1.0","source":{"id":"2002.00260","kind":"arxiv","version":1}},"canonical_sha256":"f2e12ecd8c1846a0594fbda305db01e15504217d057afb1c1e7b854d9bdd10a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2e12ecd8c1846a0594fbda305db01e15504217d057afb1c1e7b854d9bdd10a7","first_computed_at":"2026-07-05T00:38:36.285300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:38:36.285300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o+M2WWnX+eMN0uTzPalAbP1VfR/BHYlbEyQHpglqaIFh20FDN+TL0ldTKmmP+VCjcLFp6nXQYiHhaToTenuPAg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:38:36.285759Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.00260","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79025657220a9cbb6e348900fc8421174ce479aafb78d5440c0ba0af9bc5f49d","sha256:c002fd30320665a4b410e37fac77336dc7c97a46b98ecceaa393429497a3604c"],"state_sha256":"33d00d2acabc3a46b9bec97cbe800fde13f756561310603e0bd0637f896dd17e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZOgHuChBw+EOmk8NdVtIkWfVK3RfHQfxNdqvr+9tmLUWhOrGMS6Y+cy2Y650jP4nsDaPD4H4EAbi9jzWupGBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-22T04:08:07.952436Z","bundle_sha256":"fdb03915ebb2dcbfcd249fff5f10721e2245c70c1a52150d3d2afb197bbf32f5"}}