{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2VHC6VTI2XF5THJMJRNZJ6JE54","short_pith_number":"pith:2VHC6VTI","canonical_record":{"source":{"id":"2509.07276","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-08T23:19:20Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"118fae955418039a26581994a46f7284ab8b14b85e35769f6cf852a94c13604a","abstract_canon_sha256":"ff60254d815a35f2cd0c2408e26872b48263ceb27cad30104151b380c2254c99"},"schema_version":"1.0"},"canonical_sha256":"d54e2f5668d5cbd99d2c4c5b94f924ef1bc2482ebbde14b2d00eec888ac05e64","source":{"kind":"arxiv","id":"2509.07276","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.07276","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"2509.07276v1","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.07276","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"2VHC6VTI2XF5","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_16","alias_value":"2VHC6VTI2XF5THJM","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_8","alias_value":"2VHC6VTI","created_at":"2026-07-05T12:07:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2VHC6VTI2XF5THJMJRNZJ6JE54","target":"record","payload":{"canonical_record":{"source":{"id":"2509.07276","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-08T23:19:20Z","cross_cats_sorted":["cs.CR"],"title_canon_sha256":"118fae955418039a26581994a46f7284ab8b14b85e35769f6cf852a94c13604a","abstract_canon_sha256":"ff60254d815a35f2cd0c2408e26872b48263ceb27cad30104151b380c2254c99"},"schema_version":"1.0"},"canonical_sha256":"d54e2f5668d5cbd99d2c4c5b94f924ef1bc2482ebbde14b2d00eec888ac05e64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:07:18.809779Z","signature_b64":"1jzYX84YxBX42xqp/+yeBeVbQVqSebkGrqTv1IsRvoBxyTApMVy3ro1T1JIARW7k8ld5TD5gVyWVuXAwRBKgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d54e2f5668d5cbd99d2c4c5b94f924ef1bc2482ebbde14b2d00eec888ac05e64","last_reissued_at":"2026-07-05T12:07:18.809269Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:07:18.809269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.07276","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":"2026-07-05T12:07:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K5mfhu8/LjpDhFiDMyDV5hGZ/edVSRtu9DtgkL3faCsM9iCu/i5VCIDV1Klwb6NGxgHAQEOyoANP4wHtrV35Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:53:22.247058Z"},"content_sha256":"d0a360d4e9028d0ec53aecb0506bf0f42cb3d8dc70ec77fb62372671b9501fff","schema_version":"1.0","event_id":"sha256:d0a360d4e9028d0ec53aecb0506bf0f42cb3d8dc70ec77fb62372671b9501fff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2VHC6VTI2XF5THJMJRNZJ6JE54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Advantage via Solving Multivariate Polynomials","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CR"],"primary_cat":"quant-ph","authors_text":"Aayush Jain, Amit Sahai, Itai Dinur, Paul Lou, Pierre Briaud, Riddhi Ghosal","submitted_at":"2025-09-08T23:19:20Z","abstract_excerpt":"In this work, we propose a new way to (non-interactively, verifiably) demonstrate quantum advantage by solving the average-case $\\mathsf{NP}$ search problem of finding a solution to a system of (underdetermined) constant degree multivariate equations over the finite field $\\mathbb{F}_2$ drawn from a specified distribution. In particular, for any $d \\geq 2$, we design a distribution of degree up to $d$ polynomials $\\{p_i(x_1,\\ldots,x_n)\\}_{i\\in [m]}$ for $m<n$ over $\\mathbb{F}_2$ for which we show that there is a expected polynomial-time quantum algorithm that provably simultaneously solves $\\{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.07276","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/2509.07276/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":"2026-07-05T12:07:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mn0pYbt/t4HKF0JN4HBem6HyAB3oLPWB+yURtC3XNmfMEnPa0dnprMbgK8DE/ETrzaQNo1fnHw+KbP8n7zg8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:53:22.247777Z"},"content_sha256":"f9e882762e4608985e6b0c37ebdbf231db53564aa910d5c05f6a47ead39259ee","schema_version":"1.0","event_id":"sha256:f9e882762e4608985e6b0c37ebdbf231db53564aa910d5c05f6a47ead39259ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/bundle.json","state_url":"https://pith.science/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/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":"2026-08-05T13:53:22Z","links":{"resolver":"https://pith.science/pith/2VHC6VTI2XF5THJMJRNZJ6JE54","bundle":"https://pith.science/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/bundle.json","state":"https://pith.science/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VHC6VTI2XF5THJMJRNZJ6JE54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2VHC6VTI2XF5THJMJRNZJ6JE54","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":"ff60254d815a35f2cd0c2408e26872b48263ceb27cad30104151b380c2254c99","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-08T23:19:20Z","title_canon_sha256":"118fae955418039a26581994a46f7284ab8b14b85e35769f6cf852a94c13604a"},"schema_version":"1.0","source":{"id":"2509.07276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.07276","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"2509.07276v1","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.07276","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"2VHC6VTI2XF5","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_16","alias_value":"2VHC6VTI2XF5THJM","created_at":"2026-07-05T12:07:18Z"},{"alias_kind":"pith_short_8","alias_value":"2VHC6VTI","created_at":"2026-07-05T12:07:18Z"}],"graph_snapshots":[{"event_id":"sha256:f9e882762e4608985e6b0c37ebdbf231db53564aa910d5c05f6a47ead39259ee","target":"graph","created_at":"2026-07-05T12:07:18Z","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/2509.07276/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we propose a new way to (non-interactively, verifiably) demonstrate quantum advantage by solving the average-case $\\mathsf{NP}$ search problem of finding a solution to a system of (underdetermined) constant degree multivariate equations over the finite field $\\mathbb{F}_2$ drawn from a specified distribution. In particular, for any $d \\geq 2$, we design a distribution of degree up to $d$ polynomials $\\{p_i(x_1,\\ldots,x_n)\\}_{i\\in [m]}$ for $m<n$ over $\\mathbb{F}_2$ for which we show that there is a expected polynomial-time quantum algorithm that provably simultaneously solves $\\{","authors_text":"Aayush Jain, Amit Sahai, Itai Dinur, Paul Lou, Pierre Briaud, Riddhi Ghosal","cross_cats":["cs.CR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-08T23:19:20Z","title":"Quantum Advantage via Solving Multivariate Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.07276","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:d0a360d4e9028d0ec53aecb0506bf0f42cb3d8dc70ec77fb62372671b9501fff","target":"record","created_at":"2026-07-05T12:07:18Z","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":"ff60254d815a35f2cd0c2408e26872b48263ceb27cad30104151b380c2254c99","cross_cats_sorted":["cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-09-08T23:19:20Z","title_canon_sha256":"118fae955418039a26581994a46f7284ab8b14b85e35769f6cf852a94c13604a"},"schema_version":"1.0","source":{"id":"2509.07276","kind":"arxiv","version":1}},"canonical_sha256":"d54e2f5668d5cbd99d2c4c5b94f924ef1bc2482ebbde14b2d00eec888ac05e64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d54e2f5668d5cbd99d2c4c5b94f924ef1bc2482ebbde14b2d00eec888ac05e64","first_computed_at":"2026-07-05T12:07:18.809269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:07:18.809269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1jzYX84YxBX42xqp/+yeBeVbQVqSebkGrqTv1IsRvoBxyTApMVy3ro1T1JIARW7k8ld5TD5gVyWVuXAwRBKgBw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:07:18.809779Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.07276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0a360d4e9028d0ec53aecb0506bf0f42cb3d8dc70ec77fb62372671b9501fff","sha256:f9e882762e4608985e6b0c37ebdbf231db53564aa910d5c05f6a47ead39259ee"],"state_sha256":"14016fcd373607ad53e69238dfed4b73f4d41c3fede836d3e6b4fcea464719bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gVV38pjmvNRt2I/IO5s6qqh0SYWGYW942fDeLP252tOFqaMDgVzsQXZ3GHqELIkC9w6Pf3ajxvBxMZZSeh5nCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:53:22.253031Z","bundle_sha256":"7573b44195c6ace502e12063965ef900a63421183aaa0193c175936b2638de3d"}}