{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VIWGLKWKEFENBGDTR76RMMTCU6","short_pith_number":"pith:VIWGLKWK","canonical_record":{"source":{"id":"1402.0062","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-01T07:50:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3595d6969fa2463899ded1a7f98457bd81f752c0516a303af9ec9cf93091f88b","abstract_canon_sha256":"75c8f510dc4781bb04983072aa9e1a3b2aae91403d79402d7541e2686848dcc1"},"schema_version":"1.0"},"canonical_sha256":"aa2c65aaca2148d098738ffd163262a7ac785c208978cd38b7933d4e3e14f8b5","source":{"kind":"arxiv","id":"1402.0062","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0062","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0062v1","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0062","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"pith_short_12","alias_value":"VIWGLKWKEFEN","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VIWGLKWKEFENBGDT","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VIWGLKWK","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VIWGLKWKEFENBGDTR76RMMTCU6","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0062","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-01T07:50:05Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3595d6969fa2463899ded1a7f98457bd81f752c0516a303af9ec9cf93091f88b","abstract_canon_sha256":"75c8f510dc4781bb04983072aa9e1a3b2aae91403d79402d7541e2686848dcc1"},"schema_version":"1.0"},"canonical_sha256":"aa2c65aaca2148d098738ffd163262a7ac785c208978cd38b7933d4e3e14f8b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:24.905800Z","signature_b64":"Kt9W0xhs/6I91UQ5v80d96Sy1StidfCq07kPkSddxzIKKhpmJniUXJfv65Wug7/pGRteuw/FzgUxp8oHsITEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa2c65aaca2148d098738ffd163262a7ac785c208978cd38b7933d4e3e14f8b5","last_reissued_at":"2026-05-18T03:00:24.905170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:24.905170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0062","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":"2026-05-18T03:00:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZtQgODmw4AXZJ7RDWBPUhex3conz5o64TUTYVsWdgyNa4Vyil1lyEfl/e2wiP+3fnt6Qjq6yyVNWYqOP4eJDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:18:47.421013Z"},"content_sha256":"059d9f9b4f41d319f7dd9970572c399c8a143f8013e822d0e9ea229138f4d14c","schema_version":"1.0","event_id":"sha256:059d9f9b4f41d319f7dd9970572c399c8a143f8013e822d0e9ea229138f4d14c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VIWGLKWKEFENBGDTR76RMMTCU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Common Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Abbas El Gamal, Cheuk Ting Li, Gowtham Ramani Kumar","submitted_at":"2014-02-01T07:50:05Z","abstract_excerpt":"This paper introduces the notion of exact common information, which is the minimum description length of the common randomness needed for the exact distributed generation of two correlated random variables $(X,Y)$. We introduce the quantity $G(X;Y)=\\min_{X\\to W \\to Y} H(W)$ as a natural bound on the exact common information and study its properties and computation. We then introduce the exact common information rate, which is the minimum description rate of the common randomness for the exact generation of a 2-DMS $(X,Y)$. We give a multiletter characterization for it as the limit $\\bar{G}(X;Y"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0062","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":""},"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":"2026-05-18T03:00:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jAWwzv2NiRBbchomqpR0mir3mmKVNXGeroDYsTRVWnu+lHoGFLsYd/GaIitU6H/bcp+2UX0Kt9PUq5rz/FxeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T02:18:47.421413Z"},"content_sha256":"425ae7b9d8dce98d246c27c97e3e4ba578a0184d293857706565ad4d6788e041","schema_version":"1.0","event_id":"sha256:425ae7b9d8dce98d246c27c97e3e4ba578a0184d293857706565ad4d6788e041"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VIWGLKWKEFENBGDTR76RMMTCU6/bundle.json","state_url":"https://pith.science/pith/VIWGLKWKEFENBGDTR76RMMTCU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VIWGLKWKEFENBGDTR76RMMTCU6/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":"2026-06-03T02:18:47Z","links":{"resolver":"https://pith.science/pith/VIWGLKWKEFENBGDTR76RMMTCU6","bundle":"https://pith.science/pith/VIWGLKWKEFENBGDTR76RMMTCU6/bundle.json","state":"https://pith.science/pith/VIWGLKWKEFENBGDTR76RMMTCU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VIWGLKWKEFENBGDTR76RMMTCU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VIWGLKWKEFENBGDTR76RMMTCU6","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":"75c8f510dc4781bb04983072aa9e1a3b2aae91403d79402d7541e2686848dcc1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-01T07:50:05Z","title_canon_sha256":"3595d6969fa2463899ded1a7f98457bd81f752c0516a303af9ec9cf93091f88b"},"schema_version":"1.0","source":{"id":"1402.0062","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0062","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0062v1","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0062","created_at":"2026-05-18T03:00:24Z"},{"alias_kind":"pith_short_12","alias_value":"VIWGLKWKEFEN","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VIWGLKWKEFENBGDT","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VIWGLKWK","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:425ae7b9d8dce98d246c27c97e3e4ba578a0184d293857706565ad4d6788e041","target":"graph","created_at":"2026-05-18T03:00:24Z","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"},"paper":{"abstract_excerpt":"This paper introduces the notion of exact common information, which is the minimum description length of the common randomness needed for the exact distributed generation of two correlated random variables $(X,Y)$. We introduce the quantity $G(X;Y)=\\min_{X\\to W \\to Y} H(W)$ as a natural bound on the exact common information and study its properties and computation. We then introduce the exact common information rate, which is the minimum description rate of the common randomness for the exact generation of a 2-DMS $(X,Y)$. We give a multiletter characterization for it as the limit $\\bar{G}(X;Y","authors_text":"Abbas El Gamal, Cheuk Ting Li, Gowtham Ramani Kumar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-01T07:50:05Z","title":"Exact Common Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0062","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":"sha256:059d9f9b4f41d319f7dd9970572c399c8a143f8013e822d0e9ea229138f4d14c","target":"record","created_at":"2026-05-18T03:00:24Z","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":"75c8f510dc4781bb04983072aa9e1a3b2aae91403d79402d7541e2686848dcc1","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-01T07:50:05Z","title_canon_sha256":"3595d6969fa2463899ded1a7f98457bd81f752c0516a303af9ec9cf93091f88b"},"schema_version":"1.0","source":{"id":"1402.0062","kind":"arxiv","version":1}},"canonical_sha256":"aa2c65aaca2148d098738ffd163262a7ac785c208978cd38b7933d4e3e14f8b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa2c65aaca2148d098738ffd163262a7ac785c208978cd38b7933d4e3e14f8b5","first_computed_at":"2026-05-18T03:00:24.905170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:24.905170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kt9W0xhs/6I91UQ5v80d96Sy1StidfCq07kPkSddxzIKKhpmJniUXJfv65Wug7/pGRteuw/FzgUxp8oHsITEDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:24.905800Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0062","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:059d9f9b4f41d319f7dd9970572c399c8a143f8013e822d0e9ea229138f4d14c","sha256:425ae7b9d8dce98d246c27c97e3e4ba578a0184d293857706565ad4d6788e041"],"state_sha256":"53e02544400fa05714b17feaa3c5254a7cd94580f2b360ef44fd4021acfbb6a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xAWBZxeamxpwyXo5xGSoRDYDUUnxZg30lwp+i++89LullE6d9yYh9KcLKX2wocDeuR+qeZqptibttEbQSVDSCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T02:18:47.423477Z","bundle_sha256":"23773cd7778f47eb4aa691241fc25ae12f04fc1f6cdf76853d1e05323502275d"}}