{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QJFDRG2JD5SGTD2UDAIM3XXOSN","short_pith_number":"pith:QJFDRG2J","canonical_record":{"source":{"id":"1908.04255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T17:09:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a20b775933ecd575441d4a6e418706ff529ed859f34e931431bee75ff45f2b07","abstract_canon_sha256":"8caa4312b1ca35172f399b20b9c491b2472cd5d3cdbc2f6f970abdfaf393ebec"},"schema_version":"1.0"},"canonical_sha256":"824a389b491f64698f541810cddeee935805f5366ae3bd7aba5112640aa811e9","source":{"kind":"arxiv","id":"1908.04255","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04255","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04255v2","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04255","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"QJFDRG2JD5SG","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_16","alias_value":"QJFDRG2JD5SGTD2U","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_8","alias_value":"QJFDRG2J","created_at":"2026-07-05T01:35:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QJFDRG2JD5SGTD2UDAIM3XXOSN","target":"record","payload":{"canonical_record":{"source":{"id":"1908.04255","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T17:09:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"a20b775933ecd575441d4a6e418706ff529ed859f34e931431bee75ff45f2b07","abstract_canon_sha256":"8caa4312b1ca35172f399b20b9c491b2472cd5d3cdbc2f6f970abdfaf393ebec"},"schema_version":"1.0"},"canonical_sha256":"824a389b491f64698f541810cddeee935805f5366ae3bd7aba5112640aa811e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:35:25.094785Z","signature_b64":"ycEvB1JVAR76Bm1az3F8avfnKiit4YNJQwcozkYM43jmaGU4SbjcabqziuF7ESEs7Op7Dekt369bh8zA3mJ6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"824a389b491f64698f541810cddeee935805f5366ae3bd7aba5112640aa811e9","last_reissued_at":"2026-07-05T01:35:25.094324Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:35:25.094324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.04255","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":"2026-07-05T01:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1vDxLeVNydZGyfele7SwEFePEVOmFRxM/ILt+Qgl+QKaKCRhEjP90Tu/uxs2GB1cwRoItww1v4ptERWBLP+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T08:17:47.521226Z"},"content_sha256":"b46b853e6831a8c63b75d797763a237bc1aa95f7ef03d4f484d8965aff3903f9","schema_version":"1.0","event_id":"sha256:b46b853e6831a8c63b75d797763a237bc1aa95f7ef03d4f484d8965aff3903f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QJFDRG2JD5SGTD2UDAIM3XXOSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secure Coded Multi-Party Computation for Massive Matrix Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hanzaleh Akbari Nodehi, Mohammad Ali Maddah-Ali","submitted_at":"2019-08-12T17:09:26Z","abstract_excerpt":"In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are not reliable. Some of them may collude to gain information about the input data (semi-honest workers). The system is initialized by sharing a (randomized) function of each input matrix to each server. Since the input matrices are massive, each share's size is assumed to be at most $1/k$ fraction of the input matrix, for some $k \\in \\mathbb{N}$. The objective "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04255","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.04255/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:35:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4G+2na8PCjyWWn/n3FDC8nb6GjNR8nlJ4aTfjt8WVVsnlb7TbuCAnvxwSJdUOrp5LCqK/nzib54lHoViX0jWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T08:17:47.521827Z"},"content_sha256":"134944d61f299f98a9e3c009143d06d1e21fa01188d6972f6b6baad0104023e2","schema_version":"1.0","event_id":"sha256:134944d61f299f98a9e3c009143d06d1e21fa01188d6972f6b6baad0104023e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/bundle.json","state_url":"https://pith.science/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/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":"2026-08-15T08:17:47Z","links":{"resolver":"https://pith.science/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN","bundle":"https://pith.science/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/bundle.json","state":"https://pith.science/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJFDRG2JD5SGTD2UDAIM3XXOSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QJFDRG2JD5SGTD2UDAIM3XXOSN","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":"8caa4312b1ca35172f399b20b9c491b2472cd5d3cdbc2f6f970abdfaf393ebec","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T17:09:26Z","title_canon_sha256":"a20b775933ecd575441d4a6e418706ff529ed859f34e931431bee75ff45f2b07"},"schema_version":"1.0","source":{"id":"1908.04255","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04255","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04255v2","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04255","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"QJFDRG2JD5SG","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_16","alias_value":"QJFDRG2JD5SGTD2U","created_at":"2026-07-05T01:35:25Z"},{"alias_kind":"pith_short_8","alias_value":"QJFDRG2J","created_at":"2026-07-05T01:35:25Z"}],"graph_snapshots":[{"event_id":"sha256:134944d61f299f98a9e3c009143d06d1e21fa01188d6972f6b6baad0104023e2","target":"graph","created_at":"2026-07-05T01:35:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.04255/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider a secure multi-party computation problem (MPC), where the goal is to offload the computation of an arbitrary polynomial function of some massive private matrices (inputs) to a cluster of workers. The workers are not reliable. Some of them may collude to gain information about the input data (semi-honest workers). The system is initialized by sharing a (randomized) function of each input matrix to each server. Since the input matrices are massive, each share's size is assumed to be at most $1/k$ fraction of the input matrix, for some $k \\in \\mathbb{N}$. The objective ","authors_text":"Hanzaleh Akbari Nodehi, Mohammad Ali Maddah-Ali","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T17:09:26Z","title":"Secure Coded Multi-Party Computation for Massive Matrix Operations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04255","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:b46b853e6831a8c63b75d797763a237bc1aa95f7ef03d4f484d8965aff3903f9","target":"record","created_at":"2026-07-05T01:35:25Z","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":"8caa4312b1ca35172f399b20b9c491b2472cd5d3cdbc2f6f970abdfaf393ebec","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-12T17:09:26Z","title_canon_sha256":"a20b775933ecd575441d4a6e418706ff529ed859f34e931431bee75ff45f2b07"},"schema_version":"1.0","source":{"id":"1908.04255","kind":"arxiv","version":2}},"canonical_sha256":"824a389b491f64698f541810cddeee935805f5366ae3bd7aba5112640aa811e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"824a389b491f64698f541810cddeee935805f5366ae3bd7aba5112640aa811e9","first_computed_at":"2026-07-05T01:35:25.094324Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:35:25.094324Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ycEvB1JVAR76Bm1az3F8avfnKiit4YNJQwcozkYM43jmaGU4SbjcabqziuF7ESEs7Op7Dekt369bh8zA3mJ6BA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:35:25.094785Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04255","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b46b853e6831a8c63b75d797763a237bc1aa95f7ef03d4f484d8965aff3903f9","sha256:134944d61f299f98a9e3c009143d06d1e21fa01188d6972f6b6baad0104023e2"],"state_sha256":"1ae23771dfd2c5fb442e22b0396edaaf3184d12b66fd0ee6c86f41c57ca1dc73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e3AcWdEypU36iiTVDtfffO4jh7riICv3Q/kHdytWbsVkEL9RJ3kFyKDbLQPGxdJDpz8I8/NxEylNKEQfpiGNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T08:17:47.526666Z","bundle_sha256":"8fb7a9c376fef34d321e25c055a039f2d01c7820b6f21aa9371b0bac82f21c7a"}}