{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TXIR5A3QMFUAULAK2V6OCR44NK","short_pith_number":"pith:TXIR5A3Q","canonical_record":{"source":{"id":"1703.01957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-06T16:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"f7c61b42b49f59183fcd1eb11f22476a7c5355ca5bcba3df57b320522f73a46b","abstract_canon_sha256":"52ad1a79420b18b9070d54670dc2c79cfe85c8ddc82ed2d7af76ff958486cca7"},"schema_version":"1.0"},"canonical_sha256":"9dd11e837061680a2c0ad57ce1479c6a9c77d6ab899bb9cd562c5ac22c66e845","source":{"kind":"arxiv","id":"1703.01957","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01957","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01957v2","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01957","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"TXIR5A3QMFUA","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXIR5A3QMFUAULAK","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXIR5A3Q","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TXIR5A3QMFUAULAK2V6OCR44NK","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01957","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-06T16:35:31Z","cross_cats_sorted":[],"title_canon_sha256":"f7c61b42b49f59183fcd1eb11f22476a7c5355ca5bcba3df57b320522f73a46b","abstract_canon_sha256":"52ad1a79420b18b9070d54670dc2c79cfe85c8ddc82ed2d7af76ff958486cca7"},"schema_version":"1.0"},"canonical_sha256":"9dd11e837061680a2c0ad57ce1479c6a9c77d6ab899bb9cd562c5ac22c66e845","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:13.244559Z","signature_b64":"RKvuw9pbat0837HA7La5CjXbrc8H/UPFerA+tJB88JgWojEbLNEedfZGHNxA4kwpv0Szk5yQ/sYHhNDfy2++DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dd11e837061680a2c0ad57ce1479c6a9c77d6ab899bb9cd562c5ac22c66e845","last_reissued_at":"2026-05-18T00:31:13.243857Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:13.243857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01957","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":"2026-05-18T00:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7LAagyXdX445pzkGwS81escCE+1oqaoexovhIV3nEt+g26uIoHmQ2eZ88qpsn2yLeE+MHorxbVFCGqtGmMzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:28:43.543670Z"},"content_sha256":"24d003bcc9a2b50ca9aa019e7fd46e360ed6aa1e19dea1123859d23531f7e983","schema_version":"1.0","event_id":"sha256:24d003bcc9a2b50ca9aa019e7fd46e360ed6aa1e19dea1123859d23531f7e983"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TXIR5A3QMFUAULAK2V6OCR44NK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An LP Approach for Solving Two-Player Zero-Sum Repeated Bayesian Games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Cedric Langbort, Jeff Shamma, Lichun Li","submitted_at":"2017-03-06T16:35:31Z","abstract_excerpt":"This paper studies two-player zero-sum repeated Bayesian games in which every player has a private type that is unknown to the other player, and the initial probability of the type of every player is publicly known. The types of players are independently chosen according to the initial probabilities, and are kept the same all through the game. At every stage, players simultaneously choose actions, and announce their actions publicly. For finite horizon cases, an explicit linear program is provided to compute players' security strategies. Moreover, based on the existing results in [1], this pap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01957","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":""},"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":"2026-05-18T00:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1IgTbXRGdkXS99vnacm6n8xGsfkIgmmhAEjSHE4YdOWDfv3JFaLK02PV+I77SArFk3OWnVb5XPnU9gTbnv6zBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:28:43.544198Z"},"content_sha256":"b08cb6ac3c4a3678dc5281bacc2f05b164b9b84217cab590e94ce1833f664c2c","schema_version":"1.0","event_id":"sha256:b08cb6ac3c4a3678dc5281bacc2f05b164b9b84217cab590e94ce1833f664c2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXIR5A3QMFUAULAK2V6OCR44NK/bundle.json","state_url":"https://pith.science/pith/TXIR5A3QMFUAULAK2V6OCR44NK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXIR5A3QMFUAULAK2V6OCR44NK/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":"2026-06-07T10:28:43Z","links":{"resolver":"https://pith.science/pith/TXIR5A3QMFUAULAK2V6OCR44NK","bundle":"https://pith.science/pith/TXIR5A3QMFUAULAK2V6OCR44NK/bundle.json","state":"https://pith.science/pith/TXIR5A3QMFUAULAK2V6OCR44NK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXIR5A3QMFUAULAK2V6OCR44NK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TXIR5A3QMFUAULAK2V6OCR44NK","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":"52ad1a79420b18b9070d54670dc2c79cfe85c8ddc82ed2d7af76ff958486cca7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-06T16:35:31Z","title_canon_sha256":"f7c61b42b49f59183fcd1eb11f22476a7c5355ca5bcba3df57b320522f73a46b"},"schema_version":"1.0","source":{"id":"1703.01957","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01957","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01957v2","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01957","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"TXIR5A3QMFUA","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TXIR5A3QMFUAULAK","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TXIR5A3Q","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:b08cb6ac3c4a3678dc5281bacc2f05b164b9b84217cab590e94ce1833f664c2c","target":"graph","created_at":"2026-05-18T00:31:13Z","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"},"paper":{"abstract_excerpt":"This paper studies two-player zero-sum repeated Bayesian games in which every player has a private type that is unknown to the other player, and the initial probability of the type of every player is publicly known. The types of players are independently chosen according to the initial probabilities, and are kept the same all through the game. At every stage, players simultaneously choose actions, and announce their actions publicly. For finite horizon cases, an explicit linear program is provided to compute players' security strategies. Moreover, based on the existing results in [1], this pap","authors_text":"Cedric Langbort, Jeff Shamma, Lichun Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-06T16:35:31Z","title":"An LP Approach for Solving Two-Player Zero-Sum Repeated Bayesian Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01957","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":"sha256:24d003bcc9a2b50ca9aa019e7fd46e360ed6aa1e19dea1123859d23531f7e983","target":"record","created_at":"2026-05-18T00:31:13Z","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":"52ad1a79420b18b9070d54670dc2c79cfe85c8ddc82ed2d7af76ff958486cca7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-03-06T16:35:31Z","title_canon_sha256":"f7c61b42b49f59183fcd1eb11f22476a7c5355ca5bcba3df57b320522f73a46b"},"schema_version":"1.0","source":{"id":"1703.01957","kind":"arxiv","version":2}},"canonical_sha256":"9dd11e837061680a2c0ad57ce1479c6a9c77d6ab899bb9cd562c5ac22c66e845","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9dd11e837061680a2c0ad57ce1479c6a9c77d6ab899bb9cd562c5ac22c66e845","first_computed_at":"2026-05-18T00:31:13.243857Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:13.243857Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKvuw9pbat0837HA7La5CjXbrc8H/UPFerA+tJB88JgWojEbLNEedfZGHNxA4kwpv0Szk5yQ/sYHhNDfy2++DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:13.244559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01957","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24d003bcc9a2b50ca9aa019e7fd46e360ed6aa1e19dea1123859d23531f7e983","sha256:b08cb6ac3c4a3678dc5281bacc2f05b164b9b84217cab590e94ce1833f664c2c"],"state_sha256":"05d2bdc7eecb558c2792a7c62c2765c62ccdf319fb3e19e1d9e793ea5d85f14f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ELd3PuLrebvIbChTsoxZ6X9hAuemjI9Prc5yQcG/tmGk2e4oucbwiUFic/2+b4/kz5kiylrsIuwu7JAY/FonCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:28:43.547020Z","bundle_sha256":"7337e931a8f74f1389d2ce557fe1cabac17cc3e1975350c6362a34a34516d829"}}