{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Q52IPZGVYAIUTLLFGDCSMEURTE","short_pith_number":"pith:Q52IPZGV","canonical_record":{"source":{"id":"1105.4765","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-05-24T13:48:01Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d93a385a6ca850f4076a38e6225aef79d5bf5076912a82101fdc0e00715822c1","abstract_canon_sha256":"4c85677f1e85068fc9284811993d83ebbb06fbfdc8807c1177676e6ffaddfe6d"},"schema_version":"1.0"},"canonical_sha256":"877487e4d5c01149ad6530c52612919936b2cac3acc32d54f3e6167bc93606fd","source":{"kind":"arxiv","id":"1105.4765","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4765","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4765v5","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4765","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"Q52IPZGVYAIU","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q52IPZGVYAIUTLLF","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q52IPZGV","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Q52IPZGVYAIUTLLFGDCSMEURTE","target":"record","payload":{"canonical_record":{"source":{"id":"1105.4765","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-05-24T13:48:01Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"d93a385a6ca850f4076a38e6225aef79d5bf5076912a82101fdc0e00715822c1","abstract_canon_sha256":"4c85677f1e85068fc9284811993d83ebbb06fbfdc8807c1177676e6ffaddfe6d"},"schema_version":"1.0"},"canonical_sha256":"877487e4d5c01149ad6530c52612919936b2cac3acc32d54f3e6167bc93606fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:01.481256Z","signature_b64":"LCVgY13EnDpcdI7E+qfVt6MA2GTcGDSZ/S+RP/JloA2M4hWnjLR9gY9IWrghGtqbNQmATnvrkNr83BX+nhEGCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"877487e4d5c01149ad6530c52612919936b2cac3acc32d54f3e6167bc93606fd","last_reissued_at":"2026-05-18T03:41:01.480706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:01.480706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.4765","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSU3zJSgxcTGpPCMRvzWOEB8UJHrZ3s3k5Hsd7CmT4ebVNyGq5S1MB7NTrDLM76ri3Cj1uNhnSFf0JgTHcK7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:59:18.968093Z"},"content_sha256":"76c7cfd109d221665c1e5b0bfe09bfa05997512a197c593d56e02fb9e40997a4","schema_version":"1.0","event_id":"sha256:76c7cfd109d221665c1e5b0bfe09bfa05997512a197c593d56e02fb9e40997a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Q52IPZGVYAIUTLLFGDCSMEURTE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Agreement to Asymptotic Learning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Allan Sly, Elchanan Mossel, Omer Tamuz","submitted_at":"2011-05-24T13:48:01Z","abstract_excerpt":"We consider a group of Bayesian agents who are each given an independent signal about an unknown state of the world, and proceed to communicate with each other. We study the question of asymptotic learning: do agents learn the state of the world with probability that approaches one as the number of agents tends to infinity?\n  We show that under general conditions asymptotic learning follows from agreement on posterior actions or posterior beliefs, regardless of the communication dynamics. In particular, we prove that asymptotic learning holds for the Gale-Kariv model on undirected networks and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4765","kind":"arxiv","version":5},"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":"2026-05-18T03:41:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cH9mfD+m3iwTsPYJcp3XGxAigBiAmdBNwla+q/tP+tuLoAO+8AIGFMUnBTOpM7PlmpNqqDMcK2/thtPTeEnoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T19:59:18.968753Z"},"content_sha256":"b1b864efa8ca7df91f7a3f1b4da957da9a238b2f46f747d8857f28828edab9ca","schema_version":"1.0","event_id":"sha256:b1b864efa8ca7df91f7a3f1b4da957da9a238b2f46f747d8857f28828edab9ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/bundle.json","state_url":"https://pith.science/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/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":"2026-05-30T19:59:18Z","links":{"resolver":"https://pith.science/pith/Q52IPZGVYAIUTLLFGDCSMEURTE","bundle":"https://pith.science/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/bundle.json","state":"https://pith.science/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q52IPZGVYAIUTLLFGDCSMEURTE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Q52IPZGVYAIUTLLFGDCSMEURTE","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":"4c85677f1e85068fc9284811993d83ebbb06fbfdc8807c1177676e6ffaddfe6d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-05-24T13:48:01Z","title_canon_sha256":"d93a385a6ca850f4076a38e6225aef79d5bf5076912a82101fdc0e00715822c1"},"schema_version":"1.0","source":{"id":"1105.4765","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4765","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4765v5","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4765","created_at":"2026-05-18T03:41:01Z"},{"alias_kind":"pith_short_12","alias_value":"Q52IPZGVYAIU","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q52IPZGVYAIUTLLF","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q52IPZGV","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:b1b864efa8ca7df91f7a3f1b4da957da9a238b2f46f747d8857f28828edab9ca","target":"graph","created_at":"2026-05-18T03:41:01Z","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":"We consider a group of Bayesian agents who are each given an independent signal about an unknown state of the world, and proceed to communicate with each other. We study the question of asymptotic learning: do agents learn the state of the world with probability that approaches one as the number of agents tends to infinity?\n  We show that under general conditions asymptotic learning follows from agreement on posterior actions or posterior beliefs, regardless of the communication dynamics. In particular, we prove that asymptotic learning holds for the Gale-Kariv model on undirected networks and","authors_text":"Allan Sly, Elchanan Mossel, Omer Tamuz","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-05-24T13:48:01Z","title":"From Agreement to Asymptotic Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4765","kind":"arxiv","version":5},"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":"sha256:76c7cfd109d221665c1e5b0bfe09bfa05997512a197c593d56e02fb9e40997a4","target":"record","created_at":"2026-05-18T03:41:01Z","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":"4c85677f1e85068fc9284811993d83ebbb06fbfdc8807c1177676e6ffaddfe6d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-05-24T13:48:01Z","title_canon_sha256":"d93a385a6ca850f4076a38e6225aef79d5bf5076912a82101fdc0e00715822c1"},"schema_version":"1.0","source":{"id":"1105.4765","kind":"arxiv","version":5}},"canonical_sha256":"877487e4d5c01149ad6530c52612919936b2cac3acc32d54f3e6167bc93606fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"877487e4d5c01149ad6530c52612919936b2cac3acc32d54f3e6167bc93606fd","first_computed_at":"2026-05-18T03:41:01.480706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:01.480706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LCVgY13EnDpcdI7E+qfVt6MA2GTcGDSZ/S+RP/JloA2M4hWnjLR9gY9IWrghGtqbNQmATnvrkNr83BX+nhEGCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:01.481256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4765","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76c7cfd109d221665c1e5b0bfe09bfa05997512a197c593d56e02fb9e40997a4","sha256:b1b864efa8ca7df91f7a3f1b4da957da9a238b2f46f747d8857f28828edab9ca"],"state_sha256":"498e9d128dc9e1ff6bbeebb5799cabdf72983a72a98684c3098c278ae1175b6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7s2F3LDAtX0BBqxFhULsbb5JGb0s/IquppIdQVmKjv1JfHkzeNkiW3kfrMgQKJTTvEjz8/M03ivPPYhEIilGAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T19:59:18.972350Z","bundle_sha256":"bda1ab867d3bcdb19386cd5761b8d2732875fcc193730c621cea2d59e1341913"}}