{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3ERZ7G2R27DCGPMQNB6DKOWMYG","short_pith_number":"pith:3ERZ7G2R","canonical_record":{"source":{"id":"1807.09908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-07-26T00:58:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b78e69fc7df221ba6f69e594ab89dfef3bbf230b69cc4611a2909ff517fe8b17","abstract_canon_sha256":"b313c4bf46f26ceb0b6cd9cbe15279db82641fa098dc20939d1ab341b6bc496d"},"schema_version":"1.0"},"canonical_sha256":"d9239f9b51d7c6233d90687c353accc18d7f1b7675e15becf98106b6132e6991","source":{"kind":"arxiv","id":"1807.09908","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09908","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09908v1","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09908","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"3ERZ7G2R27DC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ERZ7G2R27DCGPMQ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ERZ7G2R","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3ERZ7G2R27DCGPMQNB6DKOWMYG","target":"record","payload":{"canonical_record":{"source":{"id":"1807.09908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-07-26T00:58:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b78e69fc7df221ba6f69e594ab89dfef3bbf230b69cc4611a2909ff517fe8b17","abstract_canon_sha256":"b313c4bf46f26ceb0b6cd9cbe15279db82641fa098dc20939d1ab341b6bc496d"},"schema_version":"1.0"},"canonical_sha256":"d9239f9b51d7c6233d90687c353accc18d7f1b7675e15becf98106b6132e6991","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:46.162339Z","signature_b64":"VNq36lntloaF7+l6Wkr5maBPes4KcCzBriVtnJD+SWCErMst7xuRN4P70Woy6kWNShkwO2xHUfIxxwxgSlV7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9239f9b51d7c6233d90687c353accc18d7f1b7675e15becf98106b6132e6991","last_reissued_at":"2026-05-18T00:09:46.161612Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:46.161612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.09908","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":"2026-05-18T00:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8fPptShnI7xGuD2U0pK8yNVvsViaG43wQIVC9RZD50hXJuD+khOuFx4DZElP/oFZESxCyr5srOEjauWnclzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:10:53.471475Z"},"content_sha256":"510c5365045546bf622a7eeb863e53768471b35925073657855b064da9338886","schema_version":"1.0","event_id":"sha256:510c5365045546bf622a7eeb863e53768471b35925073657855b064da9338886"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3ERZ7G2R27DCGPMQNB6DKOWMYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Capacity of Single-Server Multi-Message Private Information Retrieval with Side Information","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh, Brenden Garcia, Salim El Rouayheb, Swanand Kadhe","submitted_at":"2018-07-26T00:58:56Z","abstract_excerpt":"We study Private Information Retrieval with Side Information (PIR-SI) in the single-server multi-message setting. In this setting, a user wants to download $D$ messages from a database of $K\\geq D$ messages, stored on a single server, without revealing any information about the identities of the demanded messages to the server. The goal of the user is to achieve information-theoretic privacy by leveraging the side information about the database. The side information consists of a random subset of $M$ messages in the database which could have been obtained in advance from other users or from pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09908","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":"2026-05-18T00:09:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOMFxsbKaPDoCtE8/G0Jct67H9A/KGybs3dGBajT/4rNtmIc31jC8sBegegq5HSIRNUXs9rsD4KtGBddLwIECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:10:53.471828Z"},"content_sha256":"33e34954c179a33964d0c16ee2228de0b42465583257569e96e5217df69d87f9","schema_version":"1.0","event_id":"sha256:33e34954c179a33964d0c16ee2228de0b42465583257569e96e5217df69d87f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/bundle.json","state_url":"https://pith.science/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/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":"2026-06-02T13:10:53Z","links":{"resolver":"https://pith.science/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG","bundle":"https://pith.science/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/bundle.json","state":"https://pith.science/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ERZ7G2R27DCGPMQNB6DKOWMYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3ERZ7G2R27DCGPMQNB6DKOWMYG","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":"b313c4bf46f26ceb0b6cd9cbe15279db82641fa098dc20939d1ab341b6bc496d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-07-26T00:58:56Z","title_canon_sha256":"b78e69fc7df221ba6f69e594ab89dfef3bbf230b69cc4611a2909ff517fe8b17"},"schema_version":"1.0","source":{"id":"1807.09908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.09908","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"1807.09908v1","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09908","created_at":"2026-05-18T00:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"3ERZ7G2R27DC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3ERZ7G2R27DCGPMQ","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3ERZ7G2R","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:33e34954c179a33964d0c16ee2228de0b42465583257569e96e5217df69d87f9","target":"graph","created_at":"2026-05-18T00:09:46Z","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 study Private Information Retrieval with Side Information (PIR-SI) in the single-server multi-message setting. In this setting, a user wants to download $D$ messages from a database of $K\\geq D$ messages, stored on a single server, without revealing any information about the identities of the demanded messages to the server. The goal of the user is to achieve information-theoretic privacy by leveraging the side information about the database. The side information consists of a random subset of $M$ messages in the database which could have been obtained in advance from other users or from pr","authors_text":"Alex Sprintson, Anoosheh Heidarzadeh, Brenden Garcia, Salim El Rouayheb, Swanand Kadhe","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-07-26T00:58:56Z","title":"On the Capacity of Single-Server Multi-Message Private Information Retrieval with Side Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09908","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":"sha256:510c5365045546bf622a7eeb863e53768471b35925073657855b064da9338886","target":"record","created_at":"2026-05-18T00:09:46Z","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":"b313c4bf46f26ceb0b6cd9cbe15279db82641fa098dc20939d1ab341b6bc496d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-07-26T00:58:56Z","title_canon_sha256":"b78e69fc7df221ba6f69e594ab89dfef3bbf230b69cc4611a2909ff517fe8b17"},"schema_version":"1.0","source":{"id":"1807.09908","kind":"arxiv","version":1}},"canonical_sha256":"d9239f9b51d7c6233d90687c353accc18d7f1b7675e15becf98106b6132e6991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9239f9b51d7c6233d90687c353accc18d7f1b7675e15becf98106b6132e6991","first_computed_at":"2026-05-18T00:09:46.161612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:46.161612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VNq36lntloaF7+l6Wkr5maBPes4KcCzBriVtnJD+SWCErMst7xuRN4P70Woy6kWNShkwO2xHUfIxxwxgSlV7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:46.162339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.09908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:510c5365045546bf622a7eeb863e53768471b35925073657855b064da9338886","sha256:33e34954c179a33964d0c16ee2228de0b42465583257569e96e5217df69d87f9"],"state_sha256":"ac14bf044f463c8f0a0ccc5ad6f178605d5d95e5d883eb00fe4cfb39772ae86a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jWTaGhCkLN+VkIdB+DzqsdCUydvMhMoT6CNEX6H3sVXGpEsDR7m1T7/SnJY3lh4JLkdxU6UP4E8Ewk6VoS+eBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:10:53.473884Z","bundle_sha256":"147143f001a59e7683ca6d8a135cb7bf9d86750a4e2f6d0372ae9c4edc363228"}}