{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:RXAGZX2UUOJRDHMJGSSIA5FI5G","short_pith_number":"pith:RXAGZX2U","canonical_record":{"source":{"id":"2412.09407","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-12-12T16:12:40Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"68f80996d3cb54b3e4a8d53145709d76fe352ab28003290233d82775c9aec446","abstract_canon_sha256":"dd7760a5b559aa4622c81ba2757f9e58ffabaaec8cb4fd956e870b2ae10f07a5"},"schema_version":"1.0"},"canonical_sha256":"8dc06cdf54a393119d8934a48074a8e9a6cfe28e5580109e62a879344cbd3387","source":{"kind":"arxiv","id":"2412.09407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09407","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09407v1","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09407","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"RXAGZX2UUOJR","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_16","alias_value":"RXAGZX2UUOJRDHMJ","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_8","alias_value":"RXAGZX2U","created_at":"2026-07-05T09:48:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:RXAGZX2UUOJRDHMJGSSIA5FI5G","target":"record","payload":{"canonical_record":{"source":{"id":"2412.09407","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-12-12T16:12:40Z","cross_cats_sorted":["cs.MA"],"title_canon_sha256":"68f80996d3cb54b3e4a8d53145709d76fe352ab28003290233d82775c9aec446","abstract_canon_sha256":"dd7760a5b559aa4622c81ba2757f9e58ffabaaec8cb4fd956e870b2ae10f07a5"},"schema_version":"1.0"},"canonical_sha256":"8dc06cdf54a393119d8934a48074a8e9a6cfe28e5580109e62a879344cbd3387","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:24.124304Z","signature_b64":"/50BhMWmUeURf8wbKcGz30t/p+Xeo4yjO9f1QmVa0j1kESY3PyC5dxLHoSfTHFnoPcUaBz9oxa21rfWJ4ujbAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dc06cdf54a393119d8934a48074a8e9a6cfe28e5580109e62a879344cbd3387","last_reissued_at":"2026-07-05T09:48:24.123902Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:24.123902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.09407","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":"2026-07-05T09:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SMiVgLUmm1lF34g9l/Kraa+itVubbDrdn9gbLkbCGEFMoZ4HoOh8pb21oVOldU7Ozg8libvkF+J8SS7HtjCTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:50:12.967904Z"},"content_sha256":"c2d87300f8a335dc3ec66e31608556bee2da00081ccd78b21a651ace2ac4d1cb","schema_version":"1.0","event_id":"sha256:c2d87300f8a335dc3ec66e31608556bee2da00081ccd78b21a651ace2ac4d1cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:RXAGZX2UUOJRDHMJGSSIA5FI5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uncommon Belief in Rationality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.MA"],"primary_cat":"cs.AI","authors_text":"Pavel Naumov, Qi Shi","submitted_at":"2024-12-12T16:12:40Z","abstract_excerpt":"Common knowledge/belief in rationality is the traditional standard assumption in analysing interaction among agents. This paper proposes a graph-based language for capturing significantly more complicated structures of higher-order beliefs that agents might have about the rationality of the other agents. The two main contributions are a solution concept that captures the reasoning process based on a given belief structure and an efficient algorithm for compressing any belief structure into a unique minimal form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09407","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/2412.09407/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":"2026-07-05T09:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XJXGAp2f3t6ms9RMGb4ZIT0BB4fikfUWNooM6n5YFTNVzR7T0JRJwCvCywZXHWLGn/OhGn7uhLBiTJPFXXGWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T10:50:12.968353Z"},"content_sha256":"acb878868e50797b3895f0f6250e6847d96363d3a261c6217754d08b12e3b56d","schema_version":"1.0","event_id":"sha256:acb878868e50797b3895f0f6250e6847d96363d3a261c6217754d08b12e3b56d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/bundle.json","state_url":"https://pith.science/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/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":"2026-07-06T10:50:12Z","links":{"resolver":"https://pith.science/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G","bundle":"https://pith.science/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/bundle.json","state":"https://pith.science/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RXAGZX2UUOJRDHMJGSSIA5FI5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RXAGZX2UUOJRDHMJGSSIA5FI5G","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":"dd7760a5b559aa4622c81ba2757f9e58ffabaaec8cb4fd956e870b2ae10f07a5","cross_cats_sorted":["cs.MA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-12-12T16:12:40Z","title_canon_sha256":"68f80996d3cb54b3e4a8d53145709d76fe352ab28003290233d82775c9aec446"},"schema_version":"1.0","source":{"id":"2412.09407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09407","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09407v1","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09407","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"RXAGZX2UUOJR","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_16","alias_value":"RXAGZX2UUOJRDHMJ","created_at":"2026-07-05T09:48:24Z"},{"alias_kind":"pith_short_8","alias_value":"RXAGZX2U","created_at":"2026-07-05T09:48:24Z"}],"graph_snapshots":[{"event_id":"sha256:acb878868e50797b3895f0f6250e6847d96363d3a261c6217754d08b12e3b56d","target":"graph","created_at":"2026-07-05T09:48:24Z","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/2412.09407/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Common knowledge/belief in rationality is the traditional standard assumption in analysing interaction among agents. This paper proposes a graph-based language for capturing significantly more complicated structures of higher-order beliefs that agents might have about the rationality of the other agents. The two main contributions are a solution concept that captures the reasoning process based on a given belief structure and an efficient algorithm for compressing any belief structure into a unique minimal form.","authors_text":"Pavel Naumov, Qi Shi","cross_cats":["cs.MA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-12-12T16:12:40Z","title":"Uncommon Belief in Rationality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09407","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:c2d87300f8a335dc3ec66e31608556bee2da00081ccd78b21a651ace2ac4d1cb","target":"record","created_at":"2026-07-05T09:48:24Z","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":"dd7760a5b559aa4622c81ba2757f9e58ffabaaec8cb4fd956e870b2ae10f07a5","cross_cats_sorted":["cs.MA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2024-12-12T16:12:40Z","title_canon_sha256":"68f80996d3cb54b3e4a8d53145709d76fe352ab28003290233d82775c9aec446"},"schema_version":"1.0","source":{"id":"2412.09407","kind":"arxiv","version":1}},"canonical_sha256":"8dc06cdf54a393119d8934a48074a8e9a6cfe28e5580109e62a879344cbd3387","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dc06cdf54a393119d8934a48074a8e9a6cfe28e5580109e62a879344cbd3387","first_computed_at":"2026-07-05T09:48:24.123902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:24.123902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/50BhMWmUeURf8wbKcGz30t/p+Xeo4yjO9f1QmVa0j1kESY3PyC5dxLHoSfTHFnoPcUaBz9oxa21rfWJ4ujbAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:24.124304Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2d87300f8a335dc3ec66e31608556bee2da00081ccd78b21a651ace2ac4d1cb","sha256:acb878868e50797b3895f0f6250e6847d96363d3a261c6217754d08b12e3b56d"],"state_sha256":"74714723317e24776f29e9fff868568a860bd8fb17afd6e6bc57dd480e3cac12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VZ4yAjR88dyF2zcACrCrHIMwhIlitov420ec9rwl3Gu/ah+gxZoAJAC++/whyKTTpS8FnTRN+xOXjbSrv16Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T10:50:12.970411Z","bundle_sha256":"80a7d3154a6563708bb8769e7195264f07995365d30484678feaedb3f47a6b74"}}