{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VQ3F6R7CVT3R2C3GBNAYOYKXXW","short_pith_number":"pith:VQ3F6R7C","canonical_record":{"source":{"id":"1706.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T21:31:36Z","cross_cats_sorted":["cs.CR","math.IT"],"title_canon_sha256":"55a2b115bae99da84af9ba9af7a89baf847de49a5326d725d8da1b401bfbda97","abstract_canon_sha256":"61c4cf0e889f332d8271ab13065db6ba0eaba04bdc3d737687ed23550103e38d"},"schema_version":"1.0"},"canonical_sha256":"ac365f47e2acf71d0b660b41876157bdbc218430b82b329465d8295b4394f2e7","source":{"kind":"arxiv","id":"1706.00500","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00500","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00500v1","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00500","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"pith_short_12","alias_value":"VQ3F6R7CVT3R","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VQ3F6R7CVT3R2C3G","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VQ3F6R7C","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VQ3F6R7CVT3R2C3GBNAYOYKXXW","target":"record","payload":{"canonical_record":{"source":{"id":"1706.00500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T21:31:36Z","cross_cats_sorted":["cs.CR","math.IT"],"title_canon_sha256":"55a2b115bae99da84af9ba9af7a89baf847de49a5326d725d8da1b401bfbda97","abstract_canon_sha256":"61c4cf0e889f332d8271ab13065db6ba0eaba04bdc3d737687ed23550103e38d"},"schema_version":"1.0"},"canonical_sha256":"ac365f47e2acf71d0b660b41876157bdbc218430b82b329465d8295b4394f2e7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:12.832662Z","signature_b64":"CdLltfEi/IC803U5n5GlC4HiXxQeaY5KAzWSa56YjFSJiYkK4eh37IJnnrg524wufX5vcS60ip6vzCr36SHdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac365f47e2acf71d0b660b41876157bdbc218430b82b329465d8295b4394f2e7","last_reissued_at":"2026-05-18T00:43:12.831958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:12.831958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.00500","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":"2026-05-18T00:43:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xR29fyYdZJmjkDAzyKH/j1OZdRoDONzyBtPvGWa4kBKrImDrwK/g98sNo9s3UhBkEBy1inU29bDgzYzwRB3MCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:03:52.612592Z"},"content_sha256":"6fc4a59d5bc3420b01c613b3016e851928bb439620951aee363425f3dd568d0b","schema_version":"1.0","event_id":"sha256:6fc4a59d5bc3420b01c613b3016e851928bb439620951aee363425f3dd568d0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VQ3F6R7CVT3R2C3GBNAYOYKXXW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generic Secure Repair for Distributed Storage","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CR","math.IT"],"primary_cat":"cs.IT","authors_text":"Jehoshua Bruck, Wentao Huang","submitted_at":"2017-06-01T21:31:36Z","abstract_excerpt":"This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any information about the message. In the event of node failures so that shares held by the failed nodes are lost, the system needs to be repaired by reconstructing and reassigning the lost shares to the failed (or replacement) nodes. This can be achieved trivially by a trustworthy third-party that receives the shares of the available nodes, recompute and reassign t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00500","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":"2026-05-18T00:43:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nT06oB0JngrRkgPncMWmkM8j4djko13sMJSd/Km+F5R7/1ExzP60oaJBPvzsBQsVh1pBfAHJreHHnMti6NZwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:03:52.612944Z"},"content_sha256":"323c631560c3af209a9e0b28b3e068ee2c9b44d11f04b5227f160bd37c88ca68","schema_version":"1.0","event_id":"sha256:323c631560c3af209a9e0b28b3e068ee2c9b44d11f04b5227f160bd37c88ca68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/bundle.json","state_url":"https://pith.science/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/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":"2026-06-22T15:03:52Z","links":{"resolver":"https://pith.science/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW","bundle":"https://pith.science/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/bundle.json","state":"https://pith.science/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VQ3F6R7CVT3R2C3GBNAYOYKXXW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VQ3F6R7CVT3R2C3GBNAYOYKXXW","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":"61c4cf0e889f332d8271ab13065db6ba0eaba04bdc3d737687ed23550103e38d","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T21:31:36Z","title_canon_sha256":"55a2b115bae99da84af9ba9af7a89baf847de49a5326d725d8da1b401bfbda97"},"schema_version":"1.0","source":{"id":"1706.00500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00500","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00500v1","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00500","created_at":"2026-05-18T00:43:12Z"},{"alias_kind":"pith_short_12","alias_value":"VQ3F6R7CVT3R","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VQ3F6R7CVT3R2C3G","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VQ3F6R7C","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:323c631560c3af209a9e0b28b3e068ee2c9b44d11f04b5227f160bd37c88ca68","target":"graph","created_at":"2026-05-18T00:43:12Z","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":"This paper studies the problem of repairing secret sharing schemes, i.e., schemes that encode a message into $n$ shares, assigned to $n$ nodes, so that any $n-r$ nodes can decode the message but any colluding $z$ nodes cannot infer any information about the message. In the event of node failures so that shares held by the failed nodes are lost, the system needs to be repaired by reconstructing and reassigning the lost shares to the failed (or replacement) nodes. This can be achieved trivially by a trustworthy third-party that receives the shares of the available nodes, recompute and reassign t","authors_text":"Jehoshua Bruck, Wentao Huang","cross_cats":["cs.CR","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T21:31:36Z","title":"Generic Secure Repair for Distributed Storage"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00500","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":"sha256:6fc4a59d5bc3420b01c613b3016e851928bb439620951aee363425f3dd568d0b","target":"record","created_at":"2026-05-18T00:43:12Z","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":"61c4cf0e889f332d8271ab13065db6ba0eaba04bdc3d737687ed23550103e38d","cross_cats_sorted":["cs.CR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-06-01T21:31:36Z","title_canon_sha256":"55a2b115bae99da84af9ba9af7a89baf847de49a5326d725d8da1b401bfbda97"},"schema_version":"1.0","source":{"id":"1706.00500","kind":"arxiv","version":1}},"canonical_sha256":"ac365f47e2acf71d0b660b41876157bdbc218430b82b329465d8295b4394f2e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac365f47e2acf71d0b660b41876157bdbc218430b82b329465d8295b4394f2e7","first_computed_at":"2026-05-18T00:43:12.831958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:12.831958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdLltfEi/IC803U5n5GlC4HiXxQeaY5KAzWSa56YjFSJiYkK4eh37IJnnrg524wufX5vcS60ip6vzCr36SHdAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:12.832662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fc4a59d5bc3420b01c613b3016e851928bb439620951aee363425f3dd568d0b","sha256:323c631560c3af209a9e0b28b3e068ee2c9b44d11f04b5227f160bd37c88ca68"],"state_sha256":"4620aee5559360e4896cd146f8f18d970bd21f012c55922e10fdfb08c37a50e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a49YycUBBIGDNSC8QV2oi8O4XhRs9TrRt4rOQKC0eS1Ox7B9aMnaehOKimwm+op5ZL3claC1zrluQXt0zvLuBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:03:52.614900Z","bundle_sha256":"276cacc37b61bfc179fd0e6e5c498f316c69b97420c009136968f41b1bd8a15e"}}