{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2IUMW76VS3WP75C5NWPSR54P4Q","short_pith_number":"pith:2IUMW76V","canonical_record":{"source":{"id":"2307.12120","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-07-22T16:39:48Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"7d3563eb35bf6d22d7a6c8919ec8648b2c9db5bea9fed0f3bec22a7d90527764","abstract_canon_sha256":"504afe55b6d5fbfeaedf30dc4afa1c19f5fdb62c7870dace1e16358ea4659f4b"},"schema_version":"1.0"},"canonical_sha256":"d228cb7fd596ecfff45d6d9f28f78fe40ce09435263a7b957b873f194ab041c0","source":{"kind":"arxiv","id":"2307.12120","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.12120","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"arxiv_version","alias_value":"2307.12120v5","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.12120","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_12","alias_value":"2IUMW76VS3WP","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_16","alias_value":"2IUMW76VS3WP75C5","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_8","alias_value":"2IUMW76V","created_at":"2026-07-05T11:59:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2IUMW76VS3WP75C5NWPSR54P4Q","target":"record","payload":{"canonical_record":{"source":{"id":"2307.12120","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-07-22T16:39:48Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"7d3563eb35bf6d22d7a6c8919ec8648b2c9db5bea9fed0f3bec22a7d90527764","abstract_canon_sha256":"504afe55b6d5fbfeaedf30dc4afa1c19f5fdb62c7870dace1e16358ea4659f4b"},"schema_version":"1.0"},"canonical_sha256":"d228cb7fd596ecfff45d6d9f28f78fe40ce09435263a7b957b873f194ab041c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:03.308285Z","signature_b64":"iRxI3S8uSU3vHx0YoVoyCMdmqxuPBDi+UDaXhN/7RVvv2U5VEVctIIz/3kVJvycXwi27wa78yyaVSbZpUW5JBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d228cb7fd596ecfff45d6d9f28f78fe40ce09435263a7b957b873f194ab041c0","last_reissued_at":"2026-07-05T11:59:03.307756Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:03.307756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.12120","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":"2026-07-05T11:59:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z1oBjNxYMHhmgj7SSzMq5SC1QG65tx+9lzXQZ/VtbqGshyudU4dmFPTGsmejo6OSge3qDf+7pFXrBMmVSElpAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-23T13:47:54.490226Z"},"content_sha256":"62a5f4af9f9f442806eaab59f491e81bdf646c32f0ead69390db798ed7e94e06","schema_version":"1.0","event_id":"sha256:62a5f4af9f9f442806eaab59f491e81bdf646c32f0ead69390db798ed7e94e06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2IUMW76VS3WP75C5NWPSR54P4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Money from Abelian Group Actions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"quant-ph","authors_text":"Mark Zhandry","submitted_at":"2023-07-22T16:39:48Z","abstract_excerpt":"We give a construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves. We prove security in the generic group model for group actions under a plausible computational assumption, and develop a general toolkit for proving quantum security in this model. Along the way, we explore knowledge assumptions and algebraic group actions in the quantum setting, finding significant limitations of these assumptions/models compared to generic group actions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.12120","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.12120/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":"2026-07-05T11:59:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6rMOsGmd8TX79cgMFZLVgn64DCE6dyy3JyumVADJ8FZJOSXFXOykiCTLWRWw061wKfOoOZg21XCYmS8o1/pEDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-23T13:47:54.490615Z"},"content_sha256":"208801e29e1b108205e1d883b59f79ec7eb0b4812748835dbf77f5eaf5207633","schema_version":"1.0","event_id":"sha256:208801e29e1b108205e1d883b59f79ec7eb0b4812748835dbf77f5eaf5207633"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2IUMW76VS3WP75C5NWPSR54P4Q/bundle.json","state_url":"https://pith.science/pith/2IUMW76VS3WP75C5NWPSR54P4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2IUMW76VS3WP75C5NWPSR54P4Q/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":"2026-07-23T13:47:54Z","links":{"resolver":"https://pith.science/pith/2IUMW76VS3WP75C5NWPSR54P4Q","bundle":"https://pith.science/pith/2IUMW76VS3WP75C5NWPSR54P4Q/bundle.json","state":"https://pith.science/pith/2IUMW76VS3WP75C5NWPSR54P4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2IUMW76VS3WP75C5NWPSR54P4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2IUMW76VS3WP75C5NWPSR54P4Q","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":"504afe55b6d5fbfeaedf30dc4afa1c19f5fdb62c7870dace1e16358ea4659f4b","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-07-22T16:39:48Z","title_canon_sha256":"7d3563eb35bf6d22d7a6c8919ec8648b2c9db5bea9fed0f3bec22a7d90527764"},"schema_version":"1.0","source":{"id":"2307.12120","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.12120","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"arxiv_version","alias_value":"2307.12120v5","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.12120","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_12","alias_value":"2IUMW76VS3WP","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_16","alias_value":"2IUMW76VS3WP75C5","created_at":"2026-07-05T11:59:03Z"},{"alias_kind":"pith_short_8","alias_value":"2IUMW76V","created_at":"2026-07-05T11:59:03Z"}],"graph_snapshots":[{"event_id":"sha256:208801e29e1b108205e1d883b59f79ec7eb0b4812748835dbf77f5eaf5207633","target":"graph","created_at":"2026-07-05T11:59:03Z","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/2307.12120/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a construction of public key quantum money, and even a strengthened version called quantum lightning, from abelian group actions, which can in turn be constructed from suitable isogenies over elliptic curves. We prove security in the generic group model for group actions under a plausible computational assumption, and develop a general toolkit for proving quantum security in this model. Along the way, we explore knowledge assumptions and algebraic group actions in the quantum setting, finding significant limitations of these assumptions/models compared to generic group actions.","authors_text":"Mark Zhandry","cross_cats":["cs.CR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-07-22T16:39:48Z","title":"Quantum Money from Abelian Group Actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.12120","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":"sha256:62a5f4af9f9f442806eaab59f491e81bdf646c32f0ead69390db798ed7e94e06","target":"record","created_at":"2026-07-05T11:59:03Z","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":"504afe55b6d5fbfeaedf30dc4afa1c19f5fdb62c7870dace1e16358ea4659f4b","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-07-22T16:39:48Z","title_canon_sha256":"7d3563eb35bf6d22d7a6c8919ec8648b2c9db5bea9fed0f3bec22a7d90527764"},"schema_version":"1.0","source":{"id":"2307.12120","kind":"arxiv","version":5}},"canonical_sha256":"d228cb7fd596ecfff45d6d9f28f78fe40ce09435263a7b957b873f194ab041c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d228cb7fd596ecfff45d6d9f28f78fe40ce09435263a7b957b873f194ab041c0","first_computed_at":"2026-07-05T11:59:03.307756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:03.307756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iRxI3S8uSU3vHx0YoVoyCMdmqxuPBDi+UDaXhN/7RVvv2U5VEVctIIz/3kVJvycXwi27wa78yyaVSbZpUW5JBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:03.308285Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.12120","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62a5f4af9f9f442806eaab59f491e81bdf646c32f0ead69390db798ed7e94e06","sha256:208801e29e1b108205e1d883b59f79ec7eb0b4812748835dbf77f5eaf5207633"],"state_sha256":"0fef2e4b1a638f3c80723e3b64eae55a0d166412d3955bc1c0dc619d7d438a14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GJBv+NQS24cvoL8givujQIfzcAExGq2UMmdAmYFumL+gxBhkufo1hleqesCrpocOBDMxUGLrQA6kLXTmn5+9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-23T13:47:54.493151Z","bundle_sha256":"1308581656267c2d7c46a53dbca7f84d6b75059e108a8bd844572abceb09326d"}}