{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Y2EO3ARIYNZND7DLSMJFFEWL5B","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":"884766a234bd6f6711600b74a2b160f16c5fa44308aceb5ab8f0637225c57d11","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-05T13:37:11Z","title_canon_sha256":"c7b5f42100be8be7ac2d5e1f87106e5f26ebda259ce3980df21cd4b9eea50648"},"schema_version":"1.0","source":{"id":"1403.1121","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1121","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1121v3","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1121","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"pith_short_12","alias_value":"Y2EO3ARIYNZN","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"Y2EO3ARIYNZND7DL","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"Y2EO3ARI","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:3801f3d2665733a95cb68f31133635a29acb39f7d9eddf83986b13fd010ab2cc","target":"graph","created_at":"2026-05-18T00:42:18Z","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"},"paper":{"abstract_excerpt":"We prove that translationally invariant Hamiltonians of a chain of $n$ qubits with nearest-neighbour interactions have two seemingly contradictory features. Firstly in the limit $n\\rightarrow\\infty$ we show that any translationally invariant Hamiltonian of a chain of $n$ qubits has an eigenbasis such that almost all eigenstates have maximal entanglement between fixed-size sub-blocks of qubits and the rest of the system; in this sense these eigenstates are like those of completely general Hamiltonians (i.e. Hamiltonians with interactions of all orders between arbitrary groups of qubits). Second","authors_text":"H. J. Wells, J. P. Keating, N. Linden","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-05T13:37:11Z","title":"Spectra and eigenstates of spin chain Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1121","kind":"arxiv","version":3},"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":"sha256:0fe3eee01f3ed4928b89fe6dde9c1ce0bffa62c5271f22e6a4a96bbcbc4eb4bf","target":"record","created_at":"2026-05-18T00:42:18Z","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":"884766a234bd6f6711600b74a2b160f16c5fa44308aceb5ab8f0637225c57d11","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-05T13:37:11Z","title_canon_sha256":"c7b5f42100be8be7ac2d5e1f87106e5f26ebda259ce3980df21cd4b9eea50648"},"schema_version":"1.0","source":{"id":"1403.1121","kind":"arxiv","version":3}},"canonical_sha256":"c688ed8228c372d1fc6b93125292cbe8774e9da17af90e0a9f3a37e64041e238","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c688ed8228c372d1fc6b93125292cbe8774e9da17af90e0a9f3a37e64041e238","first_computed_at":"2026-05-18T00:42:18.285344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:18.285344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8BOZtJUbGOV0ef6IgyiJkeSI0KvIA83NeumESSKOpPHwyAp4BuLzmoXyRsN7QNnE0pBOM94fhemdisl8m57ZAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:18.286153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1121","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fe3eee01f3ed4928b89fe6dde9c1ce0bffa62c5271f22e6a4a96bbcbc4eb4bf","sha256:3801f3d2665733a95cb68f31133635a29acb39f7d9eddf83986b13fd010ab2cc"],"state_sha256":"340e7fed03614ddda9da4d756f702848d64f95d305c31bdd795b47f2fefd42a9"}