{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7JLCSB2SYV23UE2BEUCKOUYPCM","short_pith_number":"pith:7JLCSB2S","canonical_record":{"source":{"id":"1207.0120","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-06-30T18:01:31Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"f0e5a3948bbfbf05eeafc3842bae0fd147098a4514aaeeae111864e71d074ddc","abstract_canon_sha256":"fe61fea98aa0f4467ee2cd47d0902b3fac15fdeed2acd2b2338b2a7ce15f2aef"},"schema_version":"1.0"},"canonical_sha256":"fa56290752c575ba13412504a7530f13124a0689af7121fc3541dfd35a5e9241","source":{"kind":"arxiv","id":"1207.0120","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0120","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0120v5","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0120","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"7JLCSB2SYV23","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7JLCSB2SYV23UE2B","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7JLCSB2S","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7JLCSB2SYV23UE2BEUCKOUYPCM","target":"record","payload":{"canonical_record":{"source":{"id":"1207.0120","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-06-30T18:01:31Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"f0e5a3948bbfbf05eeafc3842bae0fd147098a4514aaeeae111864e71d074ddc","abstract_canon_sha256":"fe61fea98aa0f4467ee2cd47d0902b3fac15fdeed2acd2b2338b2a7ce15f2aef"},"schema_version":"1.0"},"canonical_sha256":"fa56290752c575ba13412504a7530f13124a0689af7121fc3541dfd35a5e9241","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:38.440621Z","signature_b64":"QwBhKKFj9+7HOzvwW/6e8zfVkPYZ+s6vS33Oh38h4WRCjaxI3jgaz03ESW+QzFo84ydCp1J4OcGwelWZLqJ9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa56290752c575ba13412504a7530f13124a0689af7121fc3541dfd35a5e9241","last_reissued_at":"2026-05-18T02:39:38.440170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:38.440170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.0120","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8j/ZTYGvN+9hIt9xeRpAvMjuhOMwcJiklYo6XspO34UMU+qaND5xrFV7bGE7DWchFrgl6oxqFYlUr1FsHD0CBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T11:09:27.730242Z"},"content_sha256":"376061c48dc8e8415fd58664e263d86adcca8b70af01393dc295c05d29c6478e","schema_version":"1.0","event_id":"sha256:376061c48dc8e8415fd58664e263d86adcca8b70af01393dc295c05d29c6478e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7JLCSB2SYV23UE2BEUCKOUYPCM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Secret Dissemination Across a Network","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CR","authors_text":"Kannan Ramchandran, K. V. Rashmi, Nihar B. Shah","submitted_at":"2012-06-30T18:01:31Z","abstract_excerpt":"Shamir's (n, k) threshold secret sharing is an important component of several cryptographic protocols, such as those for secure multiparty-computation and key management. These protocols typically assume the presence of direct communication links from the dealer to all participants, in which case the dealer can directly pass the shares of the secret to each participant. In this paper, we consider the problem of secret sharing when the dealer does not have direct communication links to all the participants, and instead, the dealer and the participants form a general network. Existing methods ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0120","kind":"arxiv","version":5},"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":"2026-05-18T02:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c4G8jcknGDDKb1SNj6tpMo8+5cSAuEBctjiQn9B69F/MAzukVVqABw6phTTukBOnPi40/txkTX34G7QJwnX+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T11:09:27.730604Z"},"content_sha256":"ecae004c0afc99860fd29fe66401794ea563d158c3554655e1ab040258e46fbb","schema_version":"1.0","event_id":"sha256:ecae004c0afc99860fd29fe66401794ea563d158c3554655e1ab040258e46fbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/bundle.json","state_url":"https://pith.science/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/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":"2026-06-09T11:09:27Z","links":{"resolver":"https://pith.science/pith/7JLCSB2SYV23UE2BEUCKOUYPCM","bundle":"https://pith.science/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/bundle.json","state":"https://pith.science/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7JLCSB2SYV23UE2BEUCKOUYPCM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7JLCSB2SYV23UE2BEUCKOUYPCM","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":"fe61fea98aa0f4467ee2cd47d0902b3fac15fdeed2acd2b2338b2a7ce15f2aef","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-06-30T18:01:31Z","title_canon_sha256":"f0e5a3948bbfbf05eeafc3842bae0fd147098a4514aaeeae111864e71d074ddc"},"schema_version":"1.0","source":{"id":"1207.0120","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0120","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0120v5","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0120","created_at":"2026-05-18T02:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"7JLCSB2SYV23","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7JLCSB2SYV23UE2B","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7JLCSB2S","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:ecae004c0afc99860fd29fe66401794ea563d158c3554655e1ab040258e46fbb","target":"graph","created_at":"2026-05-18T02:39:38Z","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":"Shamir's (n, k) threshold secret sharing is an important component of several cryptographic protocols, such as those for secure multiparty-computation and key management. These protocols typically assume the presence of direct communication links from the dealer to all participants, in which case the dealer can directly pass the shares of the secret to each participant. In this paper, we consider the problem of secret sharing when the dealer does not have direct communication links to all the participants, and instead, the dealer and the participants form a general network. Existing methods ar","authors_text":"Kannan Ramchandran, K. V. Rashmi, Nihar B. Shah","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-06-30T18:01:31Z","title":"Distributed Secret Dissemination Across a Network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0120","kind":"arxiv","version":5},"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":"sha256:376061c48dc8e8415fd58664e263d86adcca8b70af01393dc295c05d29c6478e","target":"record","created_at":"2026-05-18T02:39:38Z","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":"fe61fea98aa0f4467ee2cd47d0902b3fac15fdeed2acd2b2338b2a7ce15f2aef","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-06-30T18:01:31Z","title_canon_sha256":"f0e5a3948bbfbf05eeafc3842bae0fd147098a4514aaeeae111864e71d074ddc"},"schema_version":"1.0","source":{"id":"1207.0120","kind":"arxiv","version":5}},"canonical_sha256":"fa56290752c575ba13412504a7530f13124a0689af7121fc3541dfd35a5e9241","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa56290752c575ba13412504a7530f13124a0689af7121fc3541dfd35a5e9241","first_computed_at":"2026-05-18T02:39:38.440170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:38.440170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QwBhKKFj9+7HOzvwW/6e8zfVkPYZ+s6vS33Oh38h4WRCjaxI3jgaz03ESW+QzFo84ydCp1J4OcGwelWZLqJ9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:38.440621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0120","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:376061c48dc8e8415fd58664e263d86adcca8b70af01393dc295c05d29c6478e","sha256:ecae004c0afc99860fd29fe66401794ea563d158c3554655e1ab040258e46fbb"],"state_sha256":"f97ce992faaa58e99d5fd0c297339e6a589619387cd19894cd9b54f4d4ac6699"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E92qbXVnjtXix84fqaXHh0rSYqON/mVFQWoT/HhBY486/KVL03IyuueVjSKmwUkbmLDYpwvY89vHDBu1/rYNDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T11:09:27.732511Z","bundle_sha256":"7bf6e231276af84b983ed260d42042c7fca1734a6f637873ff31bae7f5a7dd92"}}