{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GCHDUKHOQRS43Y4L4L6QJDH2UI","short_pith_number":"pith:GCHDUKHO","schema_version":"1.0","canonical_sha256":"308e3a28ee8465cde38be2fd048cfaa23635e0897e595e1518f1490dc2f00b5e","source":{"kind":"arxiv","id":"2511.07212","version":2},"attestation_state":"computed","paper":{"title":"Matrix-product state skeletons in Onsager-integrable quantum chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Imogen Camp, Nick G. Jones","submitted_at":"2025-11-10T15:38:08Z","abstract_excerpt":"Matrix-product state (MPS) skeletons are connected networks of Hamiltonians with exact MPS ground states that underlie a phase diagram. Such skeletons have previously been found in classes of free-fermion models. For the translation-invariant BDI and AIII free-fermion classes, it has been shown that the underlying skeleton is dense, giving an analytic approach to MPS approximation of ground states anywhere in the class. In this paper, we partially expose the skeleton in certain interacting spin chains: the $N$-state Onsager-integrable chiral clock families. We construct MPS that form a dense M"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2511.07212","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T15:38:08Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"e9878eea9a8ee811aa55d619ef9b6a86ce35e51f61bd5daf5be4d15eecb79d41","abstract_canon_sha256":"6e77ee9c77110f779879ac589bc954e62563116489280a8fdf3677c22d81dc8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:48.994607Z","signature_b64":"KHK/THLf8JoUZ+y20tXieDeINKPCZcl6i71oT1+rGDZEVO+59K90Du4PFtd9WXwKaT8EXksS5F75txjUOB9kBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"308e3a28ee8465cde38be2fd048cfaa23635e0897e595e1518f1490dc2f00b5e","last_reissued_at":"2026-06-19T16:12:48.994183Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:48.994183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix-product state skeletons in Onsager-integrable quantum chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Imogen Camp, Nick G. Jones","submitted_at":"2025-11-10T15:38:08Z","abstract_excerpt":"Matrix-product state (MPS) skeletons are connected networks of Hamiltonians with exact MPS ground states that underlie a phase diagram. Such skeletons have previously been found in classes of free-fermion models. For the translation-invariant BDI and AIII free-fermion classes, it has been shown that the underlying skeleton is dense, giving an analytic approach to MPS approximation of ground states anywhere in the class. In this paper, we partially expose the skeleton in certain interacting spin chains: the $N$-state Onsager-integrable chiral clock families. We construct MPS that form a dense M"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.07212","kind":"arxiv","version":2},"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/2511.07212/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2511.07212","created_at":"2026-06-19T16:12:48.994238+00:00"},{"alias_kind":"arxiv_version","alias_value":"2511.07212v2","created_at":"2026-06-19T16:12:48.994238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.07212","created_at":"2026-06-19T16:12:48.994238+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCHDUKHOQRS4","created_at":"2026-06-19T16:12:48.994238+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCHDUKHOQRS43Y4L","created_at":"2026-06-19T16:12:48.994238+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCHDUKHO","created_at":"2026-06-19T16:12:48.994238+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.26219","citing_title":"Entanglement Pattern Transition of Quantum States from Directed Percolation","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2511.13821","citing_title":"Skeleton of isometric Tensor Network States for Abelian String-Net Models","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI","json":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI.json","graph_json":"https://pith.science/api/pith-number/GCHDUKHOQRS43Y4L4L6QJDH2UI/graph.json","events_json":"https://pith.science/api/pith-number/GCHDUKHOQRS43Y4L4L6QJDH2UI/events.json","paper":"https://pith.science/paper/GCHDUKHO"},"agent_actions":{"view_html":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI","download_json":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI.json","view_paper":"https://pith.science/paper/GCHDUKHO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2511.07212&json=true","fetch_graph":"https://pith.science/api/pith-number/GCHDUKHOQRS43Y4L4L6QJDH2UI/graph.json","fetch_events":"https://pith.science/api/pith-number/GCHDUKHOQRS43Y4L4L6QJDH2UI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI/action/storage_attestation","attest_author":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI/action/author_attestation","sign_citation":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI/action/citation_signature","submit_replication":"https://pith.science/pith/GCHDUKHOQRS43Y4L4L6QJDH2UI/action/replication_record"}},"created_at":"2026-06-19T16:12:48.994238+00:00","updated_at":"2026-06-19T16:12:48.994238+00:00"}