{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3OHQQDK6R7SHW63DMZPU44MCUN","short_pith_number":"pith:3OHQQDK6","canonical_record":{"source":{"id":"1410.7190","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-10-27T11:25:14Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"69cc7665e1a0ffbc6482608114d90395cd9d47649a359b555c4b8c9bd49aba4d","abstract_canon_sha256":"678b55aa7439d774e8a89d30a5da63c0cdb606330aeacf6c45628f78432ee2fa"},"schema_version":"1.0"},"canonical_sha256":"db8f080d5e8fe47b7b63665f4e7182a35c505922e40d9513f78bdfd76a54a889","source":{"kind":"arxiv","id":"1410.7190","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7190","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7190v2","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7190","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"3OHQQDK6R7SH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3OHQQDK6R7SHW63D","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3OHQQDK6","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3OHQQDK6R7SHW63DMZPU44MCUN","target":"record","payload":{"canonical_record":{"source":{"id":"1410.7190","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-10-27T11:25:14Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"69cc7665e1a0ffbc6482608114d90395cd9d47649a359b555c4b8c9bd49aba4d","abstract_canon_sha256":"678b55aa7439d774e8a89d30a5da63c0cdb606330aeacf6c45628f78432ee2fa"},"schema_version":"1.0"},"canonical_sha256":"db8f080d5e8fe47b7b63665f4e7182a35c505922e40d9513f78bdfd76a54a889","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:58.442662Z","signature_b64":"pE2vSrl7CmOuChExjW5BMwwdFKT/KUx3Wiftf8/0CB038MCqsNWGh9qzSZfxdnQsdTMonCr4kmIVN6SsvEp+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db8f080d5e8fe47b7b63665f4e7182a35c505922e40d9513f78bdfd76a54a889","last_reissued_at":"2026-05-18T02:27:58.442149Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:58.442149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.7190","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":"2026-05-18T02:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CbfADyVpwnwto2bxsUWQqzzbm2yZX8eUgTAH/vaDvILZGxz48/LXnlNFtOOFlH2j5sjPF9ZLi+nZStRDSKi3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:58:50.069500Z"},"content_sha256":"cc038550e0346a4a16cfc9caeeb68dc98e3baaf3f7902326e8247aef4dc723a8","schema_version":"1.0","event_id":"sha256:cc038550e0346a4a16cfc9caeeb68dc98e3baaf3f7902326e8247aef4dc723a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3OHQQDK6R7SHW63DMZPU44MCUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Repairable Threshold Secret Sharing Schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CR","authors_text":"Fang-Wei Fu, Jiyong Lu, Xuan Guang","submitted_at":"2014-10-27T11:25:14Z","abstract_excerpt":"In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as broken or lost, it will be repaired just by some other shares. A construction of such repairable threshold secret sharing schemes is designed by applying linearized polynomials and regenerating codes in distributed storage systems. In addition, a new repairing rate is introduced to characterize the performance and efficiency of the repairing function. Then "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7190","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":""},"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":"2026-05-18T02:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+mGrVPLb8yEpt5+SNG2FFj3U2bF5+WKJBRmeNQ+RXnk2wFGYossGWrA/t5Jb9zMRelPKmQlRo8XJWW/H9CEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:58:50.070156Z"},"content_sha256":"2d084af1c269f532159d6ff9cf23770ab9165ae56ad4958097d33371452ffc14","schema_version":"1.0","event_id":"sha256:2d084af1c269f532159d6ff9cf23770ab9165ae56ad4958097d33371452ffc14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3OHQQDK6R7SHW63DMZPU44MCUN/bundle.json","state_url":"https://pith.science/pith/3OHQQDK6R7SHW63DMZPU44MCUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3OHQQDK6R7SHW63DMZPU44MCUN/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":"2026-06-11T03:58:50Z","links":{"resolver":"https://pith.science/pith/3OHQQDK6R7SHW63DMZPU44MCUN","bundle":"https://pith.science/pith/3OHQQDK6R7SHW63DMZPU44MCUN/bundle.json","state":"https://pith.science/pith/3OHQQDK6R7SHW63DMZPU44MCUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3OHQQDK6R7SHW63DMZPU44MCUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3OHQQDK6R7SHW63DMZPU44MCUN","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":"678b55aa7439d774e8a89d30a5da63c0cdb606330aeacf6c45628f78432ee2fa","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-10-27T11:25:14Z","title_canon_sha256":"69cc7665e1a0ffbc6482608114d90395cd9d47649a359b555c4b8c9bd49aba4d"},"schema_version":"1.0","source":{"id":"1410.7190","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7190","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7190v2","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7190","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"3OHQQDK6R7SH","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3OHQQDK6R7SHW63D","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3OHQQDK6","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:2d084af1c269f532159d6ff9cf23770ab9165ae56ad4958097d33371452ffc14","target":"graph","created_at":"2026-05-18T02:27:58Z","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 this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as broken or lost, it will be repaired just by some other shares. A construction of such repairable threshold secret sharing schemes is designed by applying linearized polynomials and regenerating codes in distributed storage systems. In addition, a new repairing rate is introduced to characterize the performance and efficiency of the repairing function. Then ","authors_text":"Fang-Wei Fu, Jiyong Lu, Xuan Guang","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-10-27T11:25:14Z","title":"Repairable Threshold Secret Sharing Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7190","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:cc038550e0346a4a16cfc9caeeb68dc98e3baaf3f7902326e8247aef4dc723a8","target":"record","created_at":"2026-05-18T02:27:58Z","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":"678b55aa7439d774e8a89d30a5da63c0cdb606330aeacf6c45628f78432ee2fa","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2014-10-27T11:25:14Z","title_canon_sha256":"69cc7665e1a0ffbc6482608114d90395cd9d47649a359b555c4b8c9bd49aba4d"},"schema_version":"1.0","source":{"id":"1410.7190","kind":"arxiv","version":2}},"canonical_sha256":"db8f080d5e8fe47b7b63665f4e7182a35c505922e40d9513f78bdfd76a54a889","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db8f080d5e8fe47b7b63665f4e7182a35c505922e40d9513f78bdfd76a54a889","first_computed_at":"2026-05-18T02:27:58.442149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:58.442149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pE2vSrl7CmOuChExjW5BMwwdFKT/KUx3Wiftf8/0CB038MCqsNWGh9qzSZfxdnQsdTMonCr4kmIVN6SsvEp+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:58.442662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7190","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc038550e0346a4a16cfc9caeeb68dc98e3baaf3f7902326e8247aef4dc723a8","sha256:2d084af1c269f532159d6ff9cf23770ab9165ae56ad4958097d33371452ffc14"],"state_sha256":"a3fdcd9248f409b9d94f086b3086be57ccbc302016f4c0c2e6e672de05bf02e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yo12PaKwUcivTJkQlyfQkym0W2w8Y0c8b9NuL1Lq1kpwVKLxGbx4bLdfEvbnGqDhmzO9WC1pGdpnJBvfQuNWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:58:50.073963Z","bundle_sha256":"576cd78d39ecf604c8b142435609ccd0d6ed129b298533b3f31bb3da446ae5e5"}}