{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WNOUCV53T2FIKR3U3BOY5AWTIJ","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":"74423609e38b18f07d75b2fe1037015bb64fef97855436714a20b297d958b42f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-16T17:06:36Z","title_canon_sha256":"be23f9109d7602ad1d8fe7bf0ba3e4031ab712656446abad90c613ed428033a7"},"schema_version":"1.0","source":{"id":"1202.3646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3646","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3646v1","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3646","created_at":"2026-05-18T03:42:11Z"},{"alias_kind":"pith_short_12","alias_value":"WNOUCV53T2FI","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WNOUCV53T2FIKR3U","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WNOUCV53","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:ef0f61c095139c42d49d9200bd244632ece2338600e8cae13527d276bb9155e2","target":"graph","created_at":"2026-05-18T03:42:11Z","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":"Motivated by the quantum adiabatic algorithm (QAA), we consider the scaling of the Hamiltonian gap at quantum first order transitions, generally expected to be exponentially small in the size of the system. However, we show that a quantum antiferromagnetic Ising chain in a staggered field can exhibit a first order transition with only an algebraically small gap. In addition, we construct a simple classical translationally invariant one-dimensional Hamiltonian containing nearest-neighbour interactions only, which exhibits an exponential gap at a thermodynamic quantum first-order transition of e","authors_text":"A. Scardicchio, C.R. Laumann, R. Moessner, S.L. Sondhi","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-16T17:06:36Z","title":"The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3646","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":"sha256:6ba5a556a377d52ff8c88e840c340a226532483cadf4daf33c15718c9fdade07","target":"record","created_at":"2026-05-18T03:42:11Z","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":"74423609e38b18f07d75b2fe1037015bb64fef97855436714a20b297d958b42f","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-02-16T17:06:36Z","title_canon_sha256":"be23f9109d7602ad1d8fe7bf0ba3e4031ab712656446abad90c613ed428033a7"},"schema_version":"1.0","source":{"id":"1202.3646","kind":"arxiv","version":1}},"canonical_sha256":"b35d4157bb9e8a854774d85d8e82d34272b974ce6a45960ceb6bb943648b73b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b35d4157bb9e8a854774d85d8e82d34272b974ce6a45960ceb6bb943648b73b6","first_computed_at":"2026-05-18T03:42:11.653193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:11.653193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HY84r0KomSxMPAMEtp5EAIfMCDQkMSLCv9DKWz3k2bQDo0Cfa98UdLNyMHjcWrJSZKSKk3r0LYfyxK/NsaJbAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:11.654012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ba5a556a377d52ff8c88e840c340a226532483cadf4daf33c15718c9fdade07","sha256:ef0f61c095139c42d49d9200bd244632ece2338600e8cae13527d276bb9155e2"],"state_sha256":"f9a21a1ba4771cf4651fda28d910b132c90cc655c2c1e956673071e85a0f720d"}