{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:V6OYBZLTBMJFSOLNBXBTLBLL2Y","short_pith_number":"pith:V6OYBZLT","canonical_record":{"source":{"id":"1910.08187","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2019-10-17T22:24:55Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"ba7da6f3d2704759e0ec5818045c8c1f82ba4647c68960a5e1effc6ce286e27e","abstract_canon_sha256":"8d14eb3558a2dacae135d371f7bc2ec010a2ba51262f83618776ff7aadd1d96e"},"schema_version":"1.0"},"canonical_sha256":"af9d80e5730b1259396d0dc335856bd60910672ba1883705a9b5952a3f6b9845","source":{"kind":"arxiv","id":"1910.08187","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.08187","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"1910.08187v4","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.08187","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"V6OYBZLTBMJF","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_16","alias_value":"V6OYBZLTBMJFSOLN","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_8","alias_value":"V6OYBZLT","created_at":"2026-07-05T04:38:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:V6OYBZLTBMJFSOLNBXBTLBLL2Y","target":"record","payload":{"canonical_record":{"source":{"id":"1910.08187","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2019-10-17T22:24:55Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"ba7da6f3d2704759e0ec5818045c8c1f82ba4647c68960a5e1effc6ce286e27e","abstract_canon_sha256":"8d14eb3558a2dacae135d371f7bc2ec010a2ba51262f83618776ff7aadd1d96e"},"schema_version":"1.0"},"canonical_sha256":"af9d80e5730b1259396d0dc335856bd60910672ba1883705a9b5952a3f6b9845","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:38:09.159044Z","signature_b64":"LhMPK8WmhsgS8vFDQdngcw9gFnOlTK0ixyXV8Y7lLK6xRl0E3i6lnMms8J2HtVjpfMa3gxpk1g/xQHC1+VFeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af9d80e5730b1259396d0dc335856bd60910672ba1883705a9b5952a3f6b9845","last_reissued_at":"2026-07-05T04:38:09.158596Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:38:09.158596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1910.08187","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:38:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Egk5zwkaVITexTPtmAtSWk2BxoI4x5Bd++ZHqAy2D8mqU3fYW6OW6gn0OboD+7kjf0nJhf9fFsCZ8AA4NbWPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T02:07:04.285155Z"},"content_sha256":"ea24ee475639608a230a55cfc4151a774f4812e8a9cec94aa9987fa4117b7c43","schema_version":"1.0","event_id":"sha256:ea24ee475639608a230a55cfc4151a774f4812e8a9cec94aa9987fa4117b7c43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:V6OYBZLTBMJFSOLNBXBTLBLL2Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Quantum Approximate Optimization Algorithm and the Sherrington-Kirkpatrick Model at Infinite Size","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Edward Farhi, Jeffrey Goldstone, Leo Zhou, Sam Gutmann","submitted_at":"2019-10-17T22:24:55Z","abstract_excerpt":"The Quantum Approximate Optimization Algorithm (QAOA) is a general-purpose algorithm for combinatorial optimization problems whose performance can only improve with the number of layers $p$. While QAOA holds promise as an algorithm that can be run on near-term quantum computers, its computational power has not been fully explored. In this work, we study the QAOA applied to the Sherrington-Kirkpatrick (SK) model, which can be understood as energy minimization of $n$ spins with all-to-all random signed couplings. There is a recent classical algorithm by Montanari that, assuming a widely believed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.08187","kind":"arxiv","version":4},"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/1910.08187/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":"2026-07-05T04:38:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7I5LLo5oik1HUaI4j7Ykubk1BpX2x6zWx6Xfg/d1Ie0a/WCQEJZVO59mfFpqmtz9EUe6i96gjcFsPVlj7KrDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-16T02:07:04.285580Z"},"content_sha256":"ed5deab475b59633db7f633d116003cf7407f1b3f1225218123df36096cb2f1d","schema_version":"1.0","event_id":"sha256:ed5deab475b59633db7f633d116003cf7407f1b3f1225218123df36096cb2f1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/bundle.json","state_url":"https://pith.science/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/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":"2026-07-16T02:07:04Z","links":{"resolver":"https://pith.science/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y","bundle":"https://pith.science/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/bundle.json","state":"https://pith.science/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6OYBZLTBMJFSOLNBXBTLBLL2Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:V6OYBZLTBMJFSOLNBXBTLBLL2Y","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":"8d14eb3558a2dacae135d371f7bc2ec010a2ba51262f83618776ff7aadd1d96e","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2019-10-17T22:24:55Z","title_canon_sha256":"ba7da6f3d2704759e0ec5818045c8c1f82ba4647c68960a5e1effc6ce286e27e"},"schema_version":"1.0","source":{"id":"1910.08187","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.08187","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"arxiv_version","alias_value":"1910.08187v4","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.08187","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_12","alias_value":"V6OYBZLTBMJF","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_16","alias_value":"V6OYBZLTBMJFSOLN","created_at":"2026-07-05T04:38:09Z"},{"alias_kind":"pith_short_8","alias_value":"V6OYBZLT","created_at":"2026-07-05T04:38:09Z"}],"graph_snapshots":[{"event_id":"sha256:ed5deab475b59633db7f633d116003cf7407f1b3f1225218123df36096cb2f1d","target":"graph","created_at":"2026-07-05T04:38:09Z","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/1910.08187/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Quantum Approximate Optimization Algorithm (QAOA) is a general-purpose algorithm for combinatorial optimization problems whose performance can only improve with the number of layers $p$. While QAOA holds promise as an algorithm that can be run on near-term quantum computers, its computational power has not been fully explored. In this work, we study the QAOA applied to the Sherrington-Kirkpatrick (SK) model, which can be understood as energy minimization of $n$ spins with all-to-all random signed couplings. There is a recent classical algorithm by Montanari that, assuming a widely believed","authors_text":"Edward Farhi, Jeffrey Goldstone, Leo Zhou, Sam Gutmann","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2019-10-17T22:24:55Z","title":"The Quantum Approximate Optimization Algorithm and the Sherrington-Kirkpatrick Model at Infinite Size"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.08187","kind":"arxiv","version":4},"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:ea24ee475639608a230a55cfc4151a774f4812e8a9cec94aa9987fa4117b7c43","target":"record","created_at":"2026-07-05T04:38:09Z","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":"8d14eb3558a2dacae135d371f7bc2ec010a2ba51262f83618776ff7aadd1d96e","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2019-10-17T22:24:55Z","title_canon_sha256":"ba7da6f3d2704759e0ec5818045c8c1f82ba4647c68960a5e1effc6ce286e27e"},"schema_version":"1.0","source":{"id":"1910.08187","kind":"arxiv","version":4}},"canonical_sha256":"af9d80e5730b1259396d0dc335856bd60910672ba1883705a9b5952a3f6b9845","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af9d80e5730b1259396d0dc335856bd60910672ba1883705a9b5952a3f6b9845","first_computed_at":"2026-07-05T04:38:09.158596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:38:09.158596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LhMPK8WmhsgS8vFDQdngcw9gFnOlTK0ixyXV8Y7lLK6xRl0E3i6lnMms8J2HtVjpfMa3gxpk1g/xQHC1+VFeCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:38:09.159044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.08187","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea24ee475639608a230a55cfc4151a774f4812e8a9cec94aa9987fa4117b7c43","sha256:ed5deab475b59633db7f633d116003cf7407f1b3f1225218123df36096cb2f1d"],"state_sha256":"8e208d7c285d7a254aacaa4263fe5fa4edbdb53e20080472cc375a03a40ac8b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0b8sP5JyIzUC/oZVFcrvrbYnXlo2ZloI39f5zJaTp+4OXcNqwNROE0OwlcIL9+TGSnLHIMQNL6a6h/QoRfB8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-16T02:07:04.287896Z","bundle_sha256":"dce5d1b93cc328a452095ef1a88055de0c3bf7f79d1bca0807783083bc946620"}}