{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2LUREHGLDGT4ZMVZEV5GQ6VLLQ","short_pith_number":"pith:2LUREHGL","canonical_record":{"source":{"id":"1705.01082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-02T17:25:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2d235b77bc07a4ef6896c4d6932dd4bec2353a08a45771a8d73acbdec8d7de4f","abstract_canon_sha256":"ff1b29b87518a320da6ef92336eb91cb42cf8063b960426cd4febdda452db9e6"},"schema_version":"1.0"},"canonical_sha256":"d2e9121ccb19a7ccb2b9257a687aab5c226455d20faabc047295e69677d5770d","source":{"kind":"arxiv","id":"1705.01082","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01082","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01082v1","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01082","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"pith_short_12","alias_value":"2LUREHGLDGT4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2LUREHGLDGT4ZMVZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2LUREHGL","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2LUREHGLDGT4ZMVZEV5GQ6VLLQ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.01082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-02T17:25:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2d235b77bc07a4ef6896c4d6932dd4bec2353a08a45771a8d73acbdec8d7de4f","abstract_canon_sha256":"ff1b29b87518a320da6ef92336eb91cb42cf8063b960426cd4febdda452db9e6"},"schema_version":"1.0"},"canonical_sha256":"d2e9121ccb19a7ccb2b9257a687aab5c226455d20faabc047295e69677d5770d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:08.962746Z","signature_b64":"pF4j7nYve1qVHcOa+UwQnyvdHEYQcIF+ELZqDofeMKdP7cwxmR0UHvg3K1x++YpIAP5K/Io305rXQkPfzdtJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2e9121ccb19a7ccb2b9257a687aab5c226455d20faabc047295e69677d5770d","last_reissued_at":"2026-05-18T00:45:08.962132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:08.962132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.01082","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":"2026-05-18T00:45:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0/ggnQPsARrc/7YE2913mF8W/rn3AuuAIC+yZn1cPtRHWM5OGpYIf3OY4liQja1AUQEbDwuywla9H6CYaLjHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:34:55.134642Z"},"content_sha256":"d22dc4b5ba6406dba348dce3425a1a3c34477b6527abc80e46c5b88857b24d0a","schema_version":"1.0","event_id":"sha256:d22dc4b5ba6406dba348dce3425a1a3c34477b6527abc80e46c5b88857b24d0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2LUREHGLDGT4ZMVZEV5GQ6VLLQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Power of Shared Randomness in Uncertain Communication","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Badih Ghazi, Madhu Sudan","submitted_at":"2017-05-02T17:25:24Z","abstract_excerpt":"In a recent work (Ghazi et al., SODA 2016), the authors with Komargodski and Kothari initiated the study of communication with contextual uncertainty, a setup aiming to understand how efficient communication is possible when the communicating parties imperfectly share a huge context. In this setting, Alice is given a function $f$ and an input string $x$, and Bob is given a function $g$ and an input string $y$. The pair $(x,y)$ comes from a known distribution $\\mu$ and $f$ and $g$ are guaranteed to be close under this distribution. Alice and Bob wish to compute $g(x,y)$ with high probability. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01082","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":"2026-05-18T00:45:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vH8PD5lODvvgekNlygYdYYjNjdcPnvZYK3LLfsmoQyl5Cgj/klhGQ2L2wrGDf6NKXdG9iogx/kIsHPMzb5k+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:34:55.135209Z"},"content_sha256":"2244db0e416423810fcc15145cb9dd036fe93abc0fb476d8e3469fe880044825","schema_version":"1.0","event_id":"sha256:2244db0e416423810fcc15145cb9dd036fe93abc0fb476d8e3469fe880044825"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/bundle.json","state_url":"https://pith.science/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/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":"2026-05-27T02:34:55Z","links":{"resolver":"https://pith.science/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ","bundle":"https://pith.science/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/bundle.json","state":"https://pith.science/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2LUREHGLDGT4ZMVZEV5GQ6VLLQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2LUREHGLDGT4ZMVZEV5GQ6VLLQ","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":"ff1b29b87518a320da6ef92336eb91cb42cf8063b960426cd4febdda452db9e6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-02T17:25:24Z","title_canon_sha256":"2d235b77bc07a4ef6896c4d6932dd4bec2353a08a45771a8d73acbdec8d7de4f"},"schema_version":"1.0","source":{"id":"1705.01082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01082","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01082v1","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01082","created_at":"2026-05-18T00:45:08Z"},{"alias_kind":"pith_short_12","alias_value":"2LUREHGLDGT4","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2LUREHGLDGT4ZMVZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2LUREHGL","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:2244db0e416423810fcc15145cb9dd036fe93abc0fb476d8e3469fe880044825","target":"graph","created_at":"2026-05-18T00:45:08Z","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":"In a recent work (Ghazi et al., SODA 2016), the authors with Komargodski and Kothari initiated the study of communication with contextual uncertainty, a setup aiming to understand how efficient communication is possible when the communicating parties imperfectly share a huge context. In this setting, Alice is given a function $f$ and an input string $x$, and Bob is given a function $g$ and an input string $y$. The pair $(x,y)$ comes from a known distribution $\\mu$ and $f$ and $g$ are guaranteed to be close under this distribution. Alice and Bob wish to compute $g(x,y)$ with high probability. T","authors_text":"Badih Ghazi, Madhu Sudan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-02T17:25:24Z","title":"The Power of Shared Randomness in Uncertain Communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01082","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:d22dc4b5ba6406dba348dce3425a1a3c34477b6527abc80e46c5b88857b24d0a","target":"record","created_at":"2026-05-18T00:45:08Z","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":"ff1b29b87518a320da6ef92336eb91cb42cf8063b960426cd4febdda452db9e6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-02T17:25:24Z","title_canon_sha256":"2d235b77bc07a4ef6896c4d6932dd4bec2353a08a45771a8d73acbdec8d7de4f"},"schema_version":"1.0","source":{"id":"1705.01082","kind":"arxiv","version":1}},"canonical_sha256":"d2e9121ccb19a7ccb2b9257a687aab5c226455d20faabc047295e69677d5770d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2e9121ccb19a7ccb2b9257a687aab5c226455d20faabc047295e69677d5770d","first_computed_at":"2026-05-18T00:45:08.962132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:08.962132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pF4j7nYve1qVHcOa+UwQnyvdHEYQcIF+ELZqDofeMKdP7cwxmR0UHvg3K1x++YpIAP5K/Io305rXQkPfzdtJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:08.962746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d22dc4b5ba6406dba348dce3425a1a3c34477b6527abc80e46c5b88857b24d0a","sha256:2244db0e416423810fcc15145cb9dd036fe93abc0fb476d8e3469fe880044825"],"state_sha256":"03ca04020a2e7c54184a2e2b2b4cc36002dfe382f82f1a6f131b1225c3448ead"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dv1E4dTjLkvk/iMbNY1UlGoqU89AdadVid9PwAdJVGEiOTOnLYwTRLzyOMHtm7DQK/4Wb0UUx/HMNtTq6TJPDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:34:55.138551Z","bundle_sha256":"fba8b1c31d0da581fdd166722beeebc2e13b642859c53099fa92f4d75ed3b3bd"}}