{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7UB24KJZFBOC4ITB4OVR5YT2GF","short_pith_number":"pith:7UB24KJZ","canonical_record":{"source":{"id":"1211.1001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2012-11-05T20:52:21Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0b17222745ae89557b0bca50092e264c91f8b4c5c2e065e1d48e8e8f30620fb3","abstract_canon_sha256":"7c7c614703b9583b711ccf07910d947e610a02071d350dc25eea7fd75a1adbf9"},"schema_version":"1.0"},"canonical_sha256":"fd03ae2939285c2e2261e3ab1ee27a317335df1a0122e203691612e39828967c","source":{"kind":"arxiv","id":"1211.1001","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1001","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1001v2","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1001","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"7UB24KJZFBOC","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7UB24KJZFBOC4ITB","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7UB24KJZ","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7UB24KJZFBOC4ITB4OVR5YT2GF","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2012-11-05T20:52:21Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"0b17222745ae89557b0bca50092e264c91f8b4c5c2e065e1d48e8e8f30620fb3","abstract_canon_sha256":"7c7c614703b9583b711ccf07910d947e610a02071d350dc25eea7fd75a1adbf9"},"schema_version":"1.0"},"canonical_sha256":"fd03ae2939285c2e2261e3ab1ee27a317335df1a0122e203691612e39828967c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:28.773875Z","signature_b64":"whLvfvcE1G+L98wnsxsz1rKbQ7EEiwPjhjVBe/Xny56/fhyCdSVAoF2cvkRzu3ep/vaa2qwWFPcKNqC0QzY8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd03ae2939285c2e2261e3ab1ee27a317335df1a0122e203691612e39828967c","last_reissued_at":"2026-05-18T03:41:28.773168Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:28.773168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1001","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":"2026-05-18T03:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vfm1LhO+LPpHb+PocnaMD5FVFb5Ulk35+BUseoNcuKV1O6CG+4tnCLwgyOa05pabaf27F/kmWCbu59CcIjwlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:36:41.557710Z"},"content_sha256":"53abac966bac9811175b896616e14ece09e2462f6da852beda523a2fbad38f2f","schema_version":"1.0","event_id":"sha256:53abac966bac9811175b896616e14ece09e2462f6da852beda523a2fbad38f2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7UB24KJZFBOC4ITB4OVR5YT2GF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Majority is Stablest : Discrete and SoS","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"cs.CC","authors_text":"Anindya De, Elchanan Mossel, Joe Neeman","submitted_at":"2012-11-05T20:52:21Z","abstract_excerpt":"The Majority is Stablest Theorem has numerous applications in hardness of approximation and social choice theory. We give a new proof of the Majority is Stablest Theorem by induction on the dimension of the discrete cube. Unlike the previous proof, it uses neither the \"invariance principle\" nor Borell's result in Gaussian space. The new proof is general enough to include all previous variants of majority is stablest such as \"it ain't over until it's over\" and \"Majority is most predictable\". Moreover, the new proof allows us to derive a proof of Majority is Stablest in a constant level of the S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1001","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":"2026-05-18T03:41:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vEHM9mhaovVASD7DnI2kqIQ4Od+THDSyyWwhPiHY+8Nm/tGIR2VDnkx/43IF/DvjaiJ0/LH8mOrFT2iKIz75DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:36:41.558183Z"},"content_sha256":"7695c4339c3978398d7efc9a6db6d0ff6ab8996f008bf9ea4662bbf5e10a873e","schema_version":"1.0","event_id":"sha256:7695c4339c3978398d7efc9a6db6d0ff6ab8996f008bf9ea4662bbf5e10a873e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/bundle.json","state_url":"https://pith.science/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/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":"2026-05-27T05:36:41Z","links":{"resolver":"https://pith.science/pith/7UB24KJZFBOC4ITB4OVR5YT2GF","bundle":"https://pith.science/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/bundle.json","state":"https://pith.science/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7UB24KJZFBOC4ITB4OVR5YT2GF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7UB24KJZFBOC4ITB4OVR5YT2GF","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":"7c7c614703b9583b711ccf07910d947e610a02071d350dc25eea7fd75a1adbf9","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2012-11-05T20:52:21Z","title_canon_sha256":"0b17222745ae89557b0bca50092e264c91f8b4c5c2e065e1d48e8e8f30620fb3"},"schema_version":"1.0","source":{"id":"1211.1001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1001","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1001v2","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1001","created_at":"2026-05-18T03:41:28Z"},{"alias_kind":"pith_short_12","alias_value":"7UB24KJZFBOC","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7UB24KJZFBOC4ITB","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7UB24KJZ","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:7695c4339c3978398d7efc9a6db6d0ff6ab8996f008bf9ea4662bbf5e10a873e","target":"graph","created_at":"2026-05-18T03:41:28Z","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":"The Majority is Stablest Theorem has numerous applications in hardness of approximation and social choice theory. We give a new proof of the Majority is Stablest Theorem by induction on the dimension of the discrete cube. Unlike the previous proof, it uses neither the \"invariance principle\" nor Borell's result in Gaussian space. The new proof is general enough to include all previous variants of majority is stablest such as \"it ain't over until it's over\" and \"Majority is most predictable\". Moreover, the new proof allows us to derive a proof of Majority is Stablest in a constant level of the S","authors_text":"Anindya De, Elchanan Mossel, Joe Neeman","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2012-11-05T20:52:21Z","title":"Majority is Stablest : Discrete and SoS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1001","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":"sha256:53abac966bac9811175b896616e14ece09e2462f6da852beda523a2fbad38f2f","target":"record","created_at":"2026-05-18T03:41:28Z","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":"7c7c614703b9583b711ccf07910d947e610a02071d350dc25eea7fd75a1adbf9","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2012-11-05T20:52:21Z","title_canon_sha256":"0b17222745ae89557b0bca50092e264c91f8b4c5c2e065e1d48e8e8f30620fb3"},"schema_version":"1.0","source":{"id":"1211.1001","kind":"arxiv","version":2}},"canonical_sha256":"fd03ae2939285c2e2261e3ab1ee27a317335df1a0122e203691612e39828967c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd03ae2939285c2e2261e3ab1ee27a317335df1a0122e203691612e39828967c","first_computed_at":"2026-05-18T03:41:28.773168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:28.773168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"whLvfvcE1G+L98wnsxsz1rKbQ7EEiwPjhjVBe/Xny56/fhyCdSVAoF2cvkRzu3ep/vaa2qwWFPcKNqC0QzY8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:28.773875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53abac966bac9811175b896616e14ece09e2462f6da852beda523a2fbad38f2f","sha256:7695c4339c3978398d7efc9a6db6d0ff6ab8996f008bf9ea4662bbf5e10a873e"],"state_sha256":"8257d46680aa595726e0b7e93879946efdbe8e126a77a09df856942826fe6130"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRS1uNbKpN4XDyFPEhqeBy5hVgvTy4IDsXLl4lkS90UXYB5Sdn4vIQCq7mpQfTmzuBzu+sVROPER/Yaq5CKlAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:36:41.561359Z","bundle_sha256":"1134d8d9177a096b75a47d60cbb2082020bb318fec095caf9e809500c2b35630"}}