{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:BS3OCLRQB7RTSNILHB62RPEP64","short_pith_number":"pith:BS3OCLRQ","schema_version":"1.0","canonical_sha256":"0cb6e12e300fe339350b387da8bc8ff72fabf4f11feb37a78d8dfd32f733f916","source":{"kind":"arxiv","id":"2408.16070","version":1},"attestation_state":"computed","paper":{"title":"Symmetries, correlation functions, and entanglement of general quantum Motzkin spin-chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Andi Gu, Ramis Movassagh, Varun Menon","submitted_at":"2024-08-28T18:10:16Z","abstract_excerpt":"Motzkin spin-chains, which include 'colorless' (integer spin $s=1$) and 'colorful' ($s \\geq 2$) variants, are one-dimensional (1D) local integer spin models notable for their lack of a conformal field theory (CFT) description of their low-energy physics, despite being gapless. The colorful variants are particularly unusual, as they exhibit power-law violation of the area-law of entanglement entropy (as $\\sqrt{n}$ in system size $n$), rather than a logarithmic violation as seen in a CFT. In this work, we analytically discover several unique properties of these models, potentially suggesting a n"},"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":"2408.16070","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-08-28T18:10:16Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"bc55e654eef3005756888914ef90382be72a291b3dad243de4ef73d54e0208be","abstract_canon_sha256":"43b920a728e10273baa796a1683501f867383f65d26f7e3dc9de488ff49ea16d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:00:25.509168Z","signature_b64":"iZEUMMMVZdldnvT4xqDup1blXTAywdseQNaItfaU8WlRb2Hh2+3u+gsi9NJcB9kTnN/TnqyXNk4eAsUbztaKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cb6e12e300fe339350b387da8bc8ff72fabf4f11feb37a78d8dfd32f733f916","last_reissued_at":"2026-07-05T09:00:25.508730Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:00:25.508730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetries, correlation functions, and entanglement of general quantum Motzkin spin-chains","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Andi Gu, Ramis Movassagh, Varun Menon","submitted_at":"2024-08-28T18:10:16Z","abstract_excerpt":"Motzkin spin-chains, which include 'colorless' (integer spin $s=1$) and 'colorful' ($s \\geq 2$) variants, are one-dimensional (1D) local integer spin models notable for their lack of a conformal field theory (CFT) description of their low-energy physics, despite being gapless. The colorful variants are particularly unusual, as they exhibit power-law violation of the area-law of entanglement entropy (as $\\sqrt{n}$ in system size $n$), rather than a logarithmic violation as seen in a CFT. In this work, we analytically discover several unique properties of these models, potentially suggesting a n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.16070","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/2408.16070/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":"2408.16070","created_at":"2026-07-05T09:00:25.508790+00:00"},{"alias_kind":"arxiv_version","alias_value":"2408.16070v1","created_at":"2026-07-05T09:00:25.508790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.16070","created_at":"2026-07-05T09:00:25.508790+00:00"},{"alias_kind":"pith_short_12","alias_value":"BS3OCLRQB7RT","created_at":"2026-07-05T09:00:25.508790+00:00"},{"alias_kind":"pith_short_16","alias_value":"BS3OCLRQB7RTSNIL","created_at":"2026-07-05T09:00:25.508790+00:00"},{"alias_kind":"pith_short_8","alias_value":"BS3OCLRQ","created_at":"2026-07-05T09:00:25.508790+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.15201","citing_title":"Mixed-State Long-Range Entanglement from Dimensional Constraints","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64","json":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64.json","graph_json":"https://pith.science/api/pith-number/BS3OCLRQB7RTSNILHB62RPEP64/graph.json","events_json":"https://pith.science/api/pith-number/BS3OCLRQB7RTSNILHB62RPEP64/events.json","paper":"https://pith.science/paper/BS3OCLRQ"},"agent_actions":{"view_html":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64","download_json":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64.json","view_paper":"https://pith.science/paper/BS3OCLRQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2408.16070&json=true","fetch_graph":"https://pith.science/api/pith-number/BS3OCLRQB7RTSNILHB62RPEP64/graph.json","fetch_events":"https://pith.science/api/pith-number/BS3OCLRQB7RTSNILHB62RPEP64/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64/action/storage_attestation","attest_author":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64/action/author_attestation","sign_citation":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64/action/citation_signature","submit_replication":"https://pith.science/pith/BS3OCLRQB7RTSNILHB62RPEP64/action/replication_record"}},"created_at":"2026-07-05T09:00:25.508790+00:00","updated_at":"2026-07-05T09:00:25.508790+00:00"}