{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TYO33OVNF3Q7B3MVBPHO7COD5Q","short_pith_number":"pith:TYO33OVN","canonical_record":{"source":{"id":"1107.5806","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-28T19:59:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0260e0369b5e9a418671158df8b542ae93a227e8665feb021ff203e0beed5fd9","abstract_canon_sha256":"011a4e64d5e9467029b09ac8df60bc560969fcb19b5d0c720e9bd09ba14aab46"},"schema_version":"1.0"},"canonical_sha256":"9e1dbdbaad2ee1f0ed950bceef89c3ec22c60e3f088df5cf9bece430c12419a2","source":{"kind":"arxiv","id":"1107.5806","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5806","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5806v3","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5806","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"pith_short_12","alias_value":"TYO33OVNF3Q7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TYO33OVNF3Q7B3MV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TYO33OVN","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TYO33OVNF3Q7B3MVBPHO7COD5Q","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5806","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-28T19:59:06Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0260e0369b5e9a418671158df8b542ae93a227e8665feb021ff203e0beed5fd9","abstract_canon_sha256":"011a4e64d5e9467029b09ac8df60bc560969fcb19b5d0c720e9bd09ba14aab46"},"schema_version":"1.0"},"canonical_sha256":"9e1dbdbaad2ee1f0ed950bceef89c3ec22c60e3f088df5cf9bece430c12419a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:42.587487Z","signature_b64":"xvTKBvul5YB9g/oLiKK/91ji3lY8Ia/Xk9CTKO5tV1IhaRgR0EuIqYY/REYALbtEWGqsIkXSY+xbAKBjHNUQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e1dbdbaad2ee1f0ed950bceef89c3ec22c60e3f088df5cf9bece430c12419a2","last_reissued_at":"2026-05-18T02:21:42.587049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:42.587049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5806","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:21:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmWPtU7n0LywQXnF2g+o6HoSy0Dy1TVxH2NoG5jyAKv3g9OXyJ/4G5XDtj3zh4NVTbw4xH7AoA3oP8zYGmwfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:46:09.017749Z"},"content_sha256":"95ce4c8ecaec9ff93ecd91b151e8e69e74449bb168a825ed8715e64957db7bd7","schema_version":"1.0","event_id":"sha256:95ce4c8ecaec9ff93ecd91b151e8e69e74449bb168a825ed8715e64957db7bd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TYO33OVNF3Q7B3MVBPHO7COD5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Computing a Function of Correlated Sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aslan Tchamkerten, Milad Sefidgaran","submitted_at":"2011-07-28T19:59:06Z","abstract_excerpt":"A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter?\n  In this paper, we derive inner and outer bounds to the rate region of this problem which coincide in the cases where f is partially invertible and where the sources are independent given the side information.\n  These rate regions point to an important difference with the single source case. Whereas for the latter it is sufficient to consider independent sets of some suitable characteristic graph, for multiple "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5806","kind":"arxiv","version":3},"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":"2026-05-18T02:21:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0l/LrhcIsYNwufImAf/0qpzyBsVlaRviN//JDKUtneflhu2LEmhb9vrReBORecWrerCJsAd+W9C0xpR+pnu2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:46:09.018401Z"},"content_sha256":"5184a6e10330c974413baf5187aa16011a1e34524c1e1b9617df4fb7b2eb0d44","schema_version":"1.0","event_id":"sha256:5184a6e10330c974413baf5187aa16011a1e34524c1e1b9617df4fb7b2eb0d44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/bundle.json","state_url":"https://pith.science/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/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":"2026-06-10T02:46:09Z","links":{"resolver":"https://pith.science/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q","bundle":"https://pith.science/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/bundle.json","state":"https://pith.science/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYO33OVNF3Q7B3MVBPHO7COD5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TYO33OVNF3Q7B3MVBPHO7COD5Q","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":"011a4e64d5e9467029b09ac8df60bc560969fcb19b5d0c720e9bd09ba14aab46","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-28T19:59:06Z","title_canon_sha256":"0260e0369b5e9a418671158df8b542ae93a227e8665feb021ff203e0beed5fd9"},"schema_version":"1.0","source":{"id":"1107.5806","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5806","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5806v3","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5806","created_at":"2026-05-18T02:21:42Z"},{"alias_kind":"pith_short_12","alias_value":"TYO33OVNF3Q7","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TYO33OVNF3Q7B3MV","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TYO33OVN","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:5184a6e10330c974413baf5187aa16011a1e34524c1e1b9617df4fb7b2eb0d44","target":"graph","created_at":"2026-05-18T02:21:42Z","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":"A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter?\n  In this paper, we derive inner and outer bounds to the rate region of this problem which coincide in the cases where f is partially invertible and where the sources are independent given the side information.\n  These rate regions point to an important difference with the single source case. Whereas for the latter it is sufficient to consider independent sets of some suitable characteristic graph, for multiple ","authors_text":"Aslan Tchamkerten, Milad Sefidgaran","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-28T19:59:06Z","title":"On Computing a Function of Correlated Sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5806","kind":"arxiv","version":3},"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":"sha256:95ce4c8ecaec9ff93ecd91b151e8e69e74449bb168a825ed8715e64957db7bd7","target":"record","created_at":"2026-05-18T02:21:42Z","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":"011a4e64d5e9467029b09ac8df60bc560969fcb19b5d0c720e9bd09ba14aab46","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-07-28T19:59:06Z","title_canon_sha256":"0260e0369b5e9a418671158df8b542ae93a227e8665feb021ff203e0beed5fd9"},"schema_version":"1.0","source":{"id":"1107.5806","kind":"arxiv","version":3}},"canonical_sha256":"9e1dbdbaad2ee1f0ed950bceef89c3ec22c60e3f088df5cf9bece430c12419a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e1dbdbaad2ee1f0ed950bceef89c3ec22c60e3f088df5cf9bece430c12419a2","first_computed_at":"2026-05-18T02:21:42.587049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:42.587049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xvTKBvul5YB9g/oLiKK/91ji3lY8Ia/Xk9CTKO5tV1IhaRgR0EuIqYY/REYALbtEWGqsIkXSY+xbAKBjHNUQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:42.587487Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5806","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95ce4c8ecaec9ff93ecd91b151e8e69e74449bb168a825ed8715e64957db7bd7","sha256:5184a6e10330c974413baf5187aa16011a1e34524c1e1b9617df4fb7b2eb0d44"],"state_sha256":"6a2c972222376b82ed56edd35f24266f6b5d480981a1bed59df22f7a083617ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BdCVDvcYY4kR9ZBc4XuIplKD1AoG+J90cPmpnzn+MwZczZHDRAVvLUodxoM+dwnfEU/xRkKKdJTPwi/xKq9kAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T02:46:09.022261Z","bundle_sha256":"7a3e7322238c43bdf7dbae8ff246c1c39b8fbe13cf1a6d7eeedbe9ebe675025a"}}