{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:W5W7Z45UXJWXSFHXJH7ZWX6CRW","short_pith_number":"pith:W5W7Z45U","canonical_record":{"source":{"id":"2607.23049","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-07-25T05:17:52Z","cross_cats_sorted":[],"title_canon_sha256":"cef515dbd05160447e521d8a292d41a98228a3eecc2f51f11a6bb39280cfcac2","abstract_canon_sha256":"9481dc6c941a93d696e69896b0a19f9d456d26433e4c3a002924b7c301fb656e"},"schema_version":"1.0"},"canonical_sha256":"b76dfcf3b4ba6d7914f749ff9b5fc28da08958ab918b0fd22989093d5297a094","source":{"kind":"arxiv","id":"2607.23049","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23049","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23049v1","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23049","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_12","alias_value":"W5W7Z45UXJWX","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_16","alias_value":"W5W7Z45UXJWXSFHX","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_8","alias_value":"W5W7Z45U","created_at":"2026-07-28T00:22:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:W5W7Z45UXJWXSFHXJH7ZWX6CRW","target":"record","payload":{"canonical_record":{"source":{"id":"2607.23049","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-07-25T05:17:52Z","cross_cats_sorted":[],"title_canon_sha256":"cef515dbd05160447e521d8a292d41a98228a3eecc2f51f11a6bb39280cfcac2","abstract_canon_sha256":"9481dc6c941a93d696e69896b0a19f9d456d26433e4c3a002924b7c301fb656e"},"schema_version":"1.0"},"canonical_sha256":"b76dfcf3b4ba6d7914f749ff9b5fc28da08958ab918b0fd22989093d5297a094","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T00:22:09.643549Z","signature_b64":"T7Vw3jOHe8X2ToxPILegsEsQfDDGOfeTJOQIXx2FavEd4g78GFbIhvt1PE01z+eII2uIAw61RxZnEXw5VNB9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b76dfcf3b4ba6d7914f749ff9b5fc28da08958ab918b0fd22989093d5297a094","last_reissued_at":"2026-07-28T00:22:09.642648Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T00:22:09.642648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.23049","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":"2026-07-28T00:22:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bnIR5pJWgZ52mwesBw7bm14esrV9zw9pW//oEvAoBBJduecm02jdGafGkxA9DIUfoBB5y+gAoNXcA6IHuNeSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:21:48.394815Z"},"content_sha256":"2e5f50a6d6f84429c9289a82d440b67c87c6c7066e9d905fcdb48c307c56e902","schema_version":"1.0","event_id":"sha256:2e5f50a6d6f84429c9289a82d440b67c87c6c7066e9d905fcdb48c307c56e902"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:W5W7Z45UXJWXSFHXJH7ZWX6CRW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Power of Deception in Repeated Games","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Avrim Blum, Dimitar Chakarov, Melissa Dutz, Saba Ahmadi","submitted_at":"2026-07-25T05:17:52Z","abstract_excerpt":"In repeated games, opponents often predict what we'll do next by looking at what we have done so far. This allows us to deceive them: we can deliberately behave one way for a period of time to shape their expectations, then switch strategies to profit from the induced response. We study deception in repeated two-player normal-form games against count-based learners, whose behavior depends only on how often we have played each action in the past. We formalize deceptive and non-deceptive play, and introduce the notion of a deception bonus, the payoff gain of the best deceptive strategy over the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23049","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/2607.23049/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":"2026-07-28T00:22:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+8G+Q2ygtdXxPx4cZ1Q8vaXoMKcaU7zTQiIS4oTLmIoFOr+rcm/HjvUNHkPgv8XIqlMOxuyI+o3mslG3+I/lBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T16:21:48.395235Z"},"content_sha256":"7b2a0c1b6f539aa2ac730e20a1e42124eac7ff0c5af09e031f8936925dbba233","schema_version":"1.0","event_id":"sha256:7b2a0c1b6f539aa2ac730e20a1e42124eac7ff0c5af09e031f8936925dbba233"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/bundle.json","state_url":"https://pith.science/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/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":"2026-08-20T16:21:48Z","links":{"resolver":"https://pith.science/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW","bundle":"https://pith.science/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/bundle.json","state":"https://pith.science/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5W7Z45UXJWXSFHXJH7ZWX6CRW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:W5W7Z45UXJWXSFHXJH7ZWX6CRW","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":"9481dc6c941a93d696e69896b0a19f9d456d26433e4c3a002924b7c301fb656e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-07-25T05:17:52Z","title_canon_sha256":"cef515dbd05160447e521d8a292d41a98228a3eecc2f51f11a6bb39280cfcac2"},"schema_version":"1.0","source":{"id":"2607.23049","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23049","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23049v1","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23049","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_12","alias_value":"W5W7Z45UXJWX","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_16","alias_value":"W5W7Z45UXJWXSFHX","created_at":"2026-07-28T00:22:09Z"},{"alias_kind":"pith_short_8","alias_value":"W5W7Z45U","created_at":"2026-07-28T00:22:09Z"}],"graph_snapshots":[{"event_id":"sha256:7b2a0c1b6f539aa2ac730e20a1e42124eac7ff0c5af09e031f8936925dbba233","target":"graph","created_at":"2026-07-28T00:22:09Z","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/2607.23049/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In repeated games, opponents often predict what we'll do next by looking at what we have done so far. This allows us to deceive them: we can deliberately behave one way for a period of time to shape their expectations, then switch strategies to profit from the induced response. We study deception in repeated two-player normal-form games against count-based learners, whose behavior depends only on how often we have played each action in the past. We formalize deceptive and non-deceptive play, and introduce the notion of a deception bonus, the payoff gain of the best deceptive strategy over the ","authors_text":"Avrim Blum, Dimitar Chakarov, Melissa Dutz, Saba Ahmadi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-07-25T05:17:52Z","title":"On the Power of Deception in Repeated Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23049","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":"sha256:2e5f50a6d6f84429c9289a82d440b67c87c6c7066e9d905fcdb48c307c56e902","target":"record","created_at":"2026-07-28T00:22:09Z","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":"9481dc6c941a93d696e69896b0a19f9d456d26433e4c3a002924b7c301fb656e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-07-25T05:17:52Z","title_canon_sha256":"cef515dbd05160447e521d8a292d41a98228a3eecc2f51f11a6bb39280cfcac2"},"schema_version":"1.0","source":{"id":"2607.23049","kind":"arxiv","version":1}},"canonical_sha256":"b76dfcf3b4ba6d7914f749ff9b5fc28da08958ab918b0fd22989093d5297a094","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b76dfcf3b4ba6d7914f749ff9b5fc28da08958ab918b0fd22989093d5297a094","first_computed_at":"2026-07-28T00:22:09.642648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T00:22:09.642648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T7Vw3jOHe8X2ToxPILegsEsQfDDGOfeTJOQIXx2FavEd4g78GFbIhvt1PE01z+eII2uIAw61RxZnEXw5VNB9Cw==","signature_status":"signed_v1","signed_at":"2026-07-28T00:22:09.643549Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23049","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e5f50a6d6f84429c9289a82d440b67c87c6c7066e9d905fcdb48c307c56e902","sha256:7b2a0c1b6f539aa2ac730e20a1e42124eac7ff0c5af09e031f8936925dbba233"],"state_sha256":"028e65699d485efe8636adc55508387352bcd5d362c05b7d5eee7fdb85783dfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wrNiic0nPGalQVCIUatglp413Hqivdx6cmdPnANfC3oPW8UNdpBlIbO1YXH8VbfAAPVVz2h10yT14fek/x/wDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T16:21:48.398381Z","bundle_sha256":"f120cdb0ba8e4160bcb9b9e464a026715ba2e40ec5db346205248950a4a84008"}}