{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:AXAAKAFSZN7IWXSVGPXS2YVVIQ","short_pith_number":"pith:AXAAKAFS","canonical_record":{"source":{"id":"2607.14877","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T11:48:58Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"1cde44725f57634e124fe1450ac41adef9aff9416beb142f059c0309fd3ab4dd","abstract_canon_sha256":"c32be39bebd51842eb2163d5a26baa12883a2a7f238f33f8de3b1359667ff1fd"},"schema_version":"1.0"},"canonical_sha256":"05c00500b2cb7e8b5e5533ef2d62b54408396a789cf008cd1d7e0f4718a3c202","source":{"kind":"arxiv","id":"2607.14877","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14877","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14877v1","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14877","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"AXAAKAFSZN7I","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_16","alias_value":"AXAAKAFSZN7IWXSV","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_8","alias_value":"AXAAKAFS","created_at":"2026-07-17T01:21:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:AXAAKAFSZN7IWXSVGPXS2YVVIQ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14877","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T11:48:58Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"1cde44725f57634e124fe1450ac41adef9aff9416beb142f059c0309fd3ab4dd","abstract_canon_sha256":"c32be39bebd51842eb2163d5a26baa12883a2a7f238f33f8de3b1359667ff1fd"},"schema_version":"1.0"},"canonical_sha256":"05c00500b2cb7e8b5e5533ef2d62b54408396a789cf008cd1d7e0f4718a3c202","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T01:21:56.712284Z","signature_b64":"NvgpDWVFZiKzyli5pjZ32vC1Z5k4Z61/zWk+1yLUyYLlk7Dyh4ErKSIDNhYXtkuKRBLjfKFP1EveYI0v+zp+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"05c00500b2cb7e8b5e5533ef2d62b54408396a789cf008cd1d7e0f4718a3c202","last_reissued_at":"2026-07-17T01:21:56.711526Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T01:21:56.711526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14877","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":"2026-07-17T01:21:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o3YhsSi+7n4TWLdIRgmaUCQMn0vp0qt4ngj9ZDJFIYfkQ7GUUfReRquiQmHKtc8mv9Vb1WYVkj5tE2M7rJ5nCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:11:42.045915Z"},"content_sha256":"9e40707978eaaa58215a7ede83ecd1765365fed8fd965cfbe08b60ab6de9fb8f","schema_version":"1.0","event_id":"sha256:9e40707978eaaa58215a7ede83ecd1765365fed8fd965cfbe08b60ab6de9fb8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:AXAAKAFSZN7IWXSVGPXS2YVVIQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PAC Learning in Turn-Based Stochastic Games with Reachability Objectives: A Decentralized Private Approach via Expected Conditional Distance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.GT"],"primary_cat":"cs.LG","authors_text":"Ali Asadi, Krishnendu Chatterjee, Pavol Kebis","submitted_at":"2026-07-16T11:48:58Z","abstract_excerpt":"Reachability is the most fundamental logical objective, yet it is notoriously difficult to learn in reinforcement learning settings: even for Markov decision processes, PAC learning of reachability is impossible without additional assumptions. This difficulty also holds in turn-based stochastic games (TBSGs), where two adversarial players interact on a finite state space. In this work, we consider turn-based stochastic games with reachability objectives. For such settings, adversarial learning, in which players are adversarial even in the learning phase, is impossible. Therefore, the goal is t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14877","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/2607.14877/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":"2026-07-17T01:21:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9V9juLs6DBXlejQtzKsLP4hOrybVNd6qUj2FH7DO5h9O3/pajtcKt8IFnvXTAs2f4sWD8JhRHXFxQL5iqeS+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:11:42.046811Z"},"content_sha256":"69ff79e08e28eea89087574d89f0d44b6bdcf45183a0b96a8f96463cfc83cb4e","schema_version":"1.0","event_id":"sha256:69ff79e08e28eea89087574d89f0d44b6bdcf45183a0b96a8f96463cfc83cb4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/bundle.json","state_url":"https://pith.science/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/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":"2026-08-04T13:11:42Z","links":{"resolver":"https://pith.science/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ","bundle":"https://pith.science/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/bundle.json","state":"https://pith.science/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AXAAKAFSZN7IWXSVGPXS2YVVIQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AXAAKAFSZN7IWXSVGPXS2YVVIQ","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":"c32be39bebd51842eb2163d5a26baa12883a2a7f238f33f8de3b1359667ff1fd","cross_cats_sorted":["cs.GT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T11:48:58Z","title_canon_sha256":"1cde44725f57634e124fe1450ac41adef9aff9416beb142f059c0309fd3ab4dd"},"schema_version":"1.0","source":{"id":"2607.14877","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14877","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14877v1","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14877","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"AXAAKAFSZN7I","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_16","alias_value":"AXAAKAFSZN7IWXSV","created_at":"2026-07-17T01:21:56Z"},{"alias_kind":"pith_short_8","alias_value":"AXAAKAFS","created_at":"2026-07-17T01:21:56Z"}],"graph_snapshots":[{"event_id":"sha256:69ff79e08e28eea89087574d89f0d44b6bdcf45183a0b96a8f96463cfc83cb4e","target":"graph","created_at":"2026-07-17T01:21:56Z","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/2607.14877/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Reachability is the most fundamental logical objective, yet it is notoriously difficult to learn in reinforcement learning settings: even for Markov decision processes, PAC learning of reachability is impossible without additional assumptions. This difficulty also holds in turn-based stochastic games (TBSGs), where two adversarial players interact on a finite state space. In this work, we consider turn-based stochastic games with reachability objectives. For such settings, adversarial learning, in which players are adversarial even in the learning phase, is impossible. Therefore, the goal is t","authors_text":"Ali Asadi, Krishnendu Chatterjee, Pavol Kebis","cross_cats":["cs.GT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T11:48:58Z","title":"PAC Learning in Turn-Based Stochastic Games with Reachability Objectives: A Decentralized Private Approach via Expected Conditional Distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14877","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":"sha256:9e40707978eaaa58215a7ede83ecd1765365fed8fd965cfbe08b60ab6de9fb8f","target":"record","created_at":"2026-07-17T01:21:56Z","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":"c32be39bebd51842eb2163d5a26baa12883a2a7f238f33f8de3b1359667ff1fd","cross_cats_sorted":["cs.GT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-16T11:48:58Z","title_canon_sha256":"1cde44725f57634e124fe1450ac41adef9aff9416beb142f059c0309fd3ab4dd"},"schema_version":"1.0","source":{"id":"2607.14877","kind":"arxiv","version":1}},"canonical_sha256":"05c00500b2cb7e8b5e5533ef2d62b54408396a789cf008cd1d7e0f4718a3c202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05c00500b2cb7e8b5e5533ef2d62b54408396a789cf008cd1d7e0f4718a3c202","first_computed_at":"2026-07-17T01:21:56.711526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:56.711526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NvgpDWVFZiKzyli5pjZ32vC1Z5k4Z61/zWk+1yLUyYLlk7Dyh4ErKSIDNhYXtkuKRBLjfKFP1EveYI0v+zp+CA==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:56.712284Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14877","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e40707978eaaa58215a7ede83ecd1765365fed8fd965cfbe08b60ab6de9fb8f","sha256:69ff79e08e28eea89087574d89f0d44b6bdcf45183a0b96a8f96463cfc83cb4e"],"state_sha256":"31f7f03c643d8c39a5f122258942bd5427fc52d7f32fd751c82a4dc403c23f85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3TCAlG/R7f3hHMHC1gVNqcXh/sjFi+Wm3sHA8J5KBnc/Q3OJLDYo/HR0ZsyTKZLTHDFaRg0PI+gkEZnfkclCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:11:42.051901Z","bundle_sha256":"517b3ac4e6b127b0911018943f5c4d8c3ae4e9e77cbffd0893ab7546e20b43f1"}}