{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VP5ISWCAVGEES63MU5GPFJMXM7","short_pith_number":"pith:VP5ISWCA","canonical_record":{"source":{"id":"2411.18844","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-11-28T01:21:44Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"cae1879e8b287da2c268e574d36a015e50edaa9e468c065b9a6d539c3bf42549","abstract_canon_sha256":"aba54454c6ef5c0b1cf9b1acc87bcc968d9689ec77997616dd97ea084cb45a2c"},"schema_version":"1.0"},"canonical_sha256":"abfa895840a988497b6ca74cf2a59767d37f5a4ac90996d946abaaae40ba4751","source":{"kind":"arxiv","id":"2411.18844","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.18844","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"2411.18844v1","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.18844","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"VP5ISWCAVGEE","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_16","alias_value":"VP5ISWCAVGEES63M","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_8","alias_value":"VP5ISWCA","created_at":"2026-07-05T09:41:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VP5ISWCAVGEES63MU5GPFJMXM7","target":"record","payload":{"canonical_record":{"source":{"id":"2411.18844","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-11-28T01:21:44Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"cae1879e8b287da2c268e574d36a015e50edaa9e468c065b9a6d539c3bf42549","abstract_canon_sha256":"aba54454c6ef5c0b1cf9b1acc87bcc968d9689ec77997616dd97ea084cb45a2c"},"schema_version":"1.0"},"canonical_sha256":"abfa895840a988497b6ca74cf2a59767d37f5a4ac90996d946abaaae40ba4751","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:52.349214Z","signature_b64":"/jW0k03YEj0T1tG1ccDbXA/qKhkPqyecbev1gNm9+PhnOjx4wCCd174YyV8K/++sAyGb6YZ7tUPC/54JGEHYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abfa895840a988497b6ca74cf2a59767d37f5a4ac90996d946abaaae40ba4751","last_reissued_at":"2026-07-05T09:41:52.348848Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:52.348848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.18844","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":"2026-07-05T09:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9I95klZjFhoJorTRNbqXfWKaMDuyXQb4sXrfYmBHEWeYvIjeVMw0st0lZRem+9csNQJFSkT+YntygWuUm61AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:30:56.951923Z"},"content_sha256":"4aaf34fa99511c219285d6d7af848eaff06f26b06d8c9ad851b7aa25600aaa0f","schema_version":"1.0","event_id":"sha256:4aaf34fa99511c219285d6d7af848eaff06f26b06d8c9ad851b7aa25600aaa0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VP5ISWCAVGEES63MU5GPFJMXM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sharing the Path: A Threshold Scheme from Isogenies and Error Correcting Codes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.CR","authors_text":"M. Anwar Hasan, Mohamadou Sall","submitted_at":"2024-11-28T01:21:44Z","abstract_excerpt":"In 2022, a prominent supersingular isogeny-based cryptographic scheme, namely SIDH, was compromised by a key recovery attack. However, this attack does not undermine the isogeny path problem, which remains central to the security of isogeny-based cryptography. Following the attacks by Castryck and Decru, as well as Maino and Martindale, Robert gave a mature and polynomial-time algorithm that transforms the SIDH key recovery attack into a valuable cryptographic tool. In this paper, we combine this tool with advanced encoding techniques to construct a novel threshold scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.18844","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.18844/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":"2026-07-05T09:41:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZtyUAPEr2LXqb2tq0o7d1vHqgpKu7bX7tBPXw2lOUjVKHcLl7cGQsK+xIQ6gZ8HVGdvTA9nEXQONXj9Wjo9bAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T23:30:56.952485Z"},"content_sha256":"23dd34f7921ff300c83cdeacdc8ef2e3953662d35f5b28d58ae376f84d14182f","schema_version":"1.0","event_id":"sha256:23dd34f7921ff300c83cdeacdc8ef2e3953662d35f5b28d58ae376f84d14182f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VP5ISWCAVGEES63MU5GPFJMXM7/bundle.json","state_url":"https://pith.science/pith/VP5ISWCAVGEES63MU5GPFJMXM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VP5ISWCAVGEES63MU5GPFJMXM7/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":"2026-08-12T23:30:56Z","links":{"resolver":"https://pith.science/pith/VP5ISWCAVGEES63MU5GPFJMXM7","bundle":"https://pith.science/pith/VP5ISWCAVGEES63MU5GPFJMXM7/bundle.json","state":"https://pith.science/pith/VP5ISWCAVGEES63MU5GPFJMXM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VP5ISWCAVGEES63MU5GPFJMXM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VP5ISWCAVGEES63MU5GPFJMXM7","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":"aba54454c6ef5c0b1cf9b1acc87bcc968d9689ec77997616dd97ea084cb45a2c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-11-28T01:21:44Z","title_canon_sha256":"cae1879e8b287da2c268e574d36a015e50edaa9e468c065b9a6d539c3bf42549"},"schema_version":"1.0","source":{"id":"2411.18844","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.18844","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"2411.18844v1","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.18844","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"VP5ISWCAVGEE","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_16","alias_value":"VP5ISWCAVGEES63M","created_at":"2026-07-05T09:41:52Z"},{"alias_kind":"pith_short_8","alias_value":"VP5ISWCA","created_at":"2026-07-05T09:41:52Z"}],"graph_snapshots":[{"event_id":"sha256:23dd34f7921ff300c83cdeacdc8ef2e3953662d35f5b28d58ae376f84d14182f","target":"graph","created_at":"2026-07-05T09:41:52Z","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/2411.18844/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In 2022, a prominent supersingular isogeny-based cryptographic scheme, namely SIDH, was compromised by a key recovery attack. However, this attack does not undermine the isogeny path problem, which remains central to the security of isogeny-based cryptography. Following the attacks by Castryck and Decru, as well as Maino and Martindale, Robert gave a mature and polynomial-time algorithm that transforms the SIDH key recovery attack into a valuable cryptographic tool. In this paper, we combine this tool with advanced encoding techniques to construct a novel threshold scheme.","authors_text":"M. Anwar Hasan, Mohamadou Sall","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-11-28T01:21:44Z","title":"Sharing the Path: A Threshold Scheme from Isogenies and Error Correcting Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.18844","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":"sha256:4aaf34fa99511c219285d6d7af848eaff06f26b06d8c9ad851b7aa25600aaa0f","target":"record","created_at":"2026-07-05T09:41:52Z","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":"aba54454c6ef5c0b1cf9b1acc87bcc968d9689ec77997616dd97ea084cb45a2c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CR","submitted_at":"2024-11-28T01:21:44Z","title_canon_sha256":"cae1879e8b287da2c268e574d36a015e50edaa9e468c065b9a6d539c3bf42549"},"schema_version":"1.0","source":{"id":"2411.18844","kind":"arxiv","version":1}},"canonical_sha256":"abfa895840a988497b6ca74cf2a59767d37f5a4ac90996d946abaaae40ba4751","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abfa895840a988497b6ca74cf2a59767d37f5a4ac90996d946abaaae40ba4751","first_computed_at":"2026-07-05T09:41:52.348848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:52.348848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/jW0k03YEj0T1tG1ccDbXA/qKhkPqyecbev1gNm9+PhnOjx4wCCd174YyV8K/++sAyGb6YZ7tUPC/54JGEHYDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:52.349214Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.18844","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4aaf34fa99511c219285d6d7af848eaff06f26b06d8c9ad851b7aa25600aaa0f","sha256:23dd34f7921ff300c83cdeacdc8ef2e3953662d35f5b28d58ae376f84d14182f"],"state_sha256":"6b9b0ed89bf0cf881df0e48a2289f090b18a12e20084acdd7956badc5c04f179"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PE9iGUuJRzd6r19PuptEIrY/3r5QMfigYl2GJsQ27jCGVKMiqK3B3u9VlpyYTWab0YWduI3wDfsthQsrE/8CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T23:30:56.956388Z","bundle_sha256":"7d0e2555fb8c5dc707b02d50942bb813d6d404d1900df111c6660f704ddf978a"}}