{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OKCAU4NBMISKANAUMD7TC6K4FB","short_pith_number":"pith:OKCAU4NB","schema_version":"1.0","canonical_sha256":"72840a71a16224a0341460ff31795c284ac25cc3c68367f47ac57dceedef9ccc","source":{"kind":"arxiv","id":"2606.02013","version":1},"attestation_state":"computed","paper":{"title":"Successes and challenges of using Semidefinite Programming for the study of Spin Chain Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat"],"primary_cat":"hep-th","authors_text":"David Berenstein, P. N. Thomas Lloyd","submitted_at":"2026-06-01T10:06:11Z","abstract_excerpt":"We study semidefinite programming (SDP) methods to analyze spin chain Hamiltonians. We examine the ground state energy, the first excited charged states and ground state correlators in two simple models: the Ising model in a transverse magnetic field and the closely related 3-state Potts model. Our goal is to understand precisely what the SDP program is doing and when it works well, why it does so. We focus on the following novel ingredients: using charge constraints to obtain excited states and to see if additional constraints from integrable models are effective at improving the method.\n  At"},"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":"2606.02013","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-01T10:06:11Z","cross_cats_sorted":["cond-mat.str-el","hep-lat"],"title_canon_sha256":"d12544631a54a0436285b9c407bfdfbb0a4e3b84a1e4f6dd88636ba6c17d8bce","abstract_canon_sha256":"3e6e8a50ace965eaf7d65fb7ef7e8f922013829d8608ce90f07f1439f80b7289"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T02:05:03.522484Z","signature_b64":"1CwHGPB/acvMXGFokPYi06/F+vbzLes7DfVqN8+NOl9fo9Qe0Lq6un2+1OZn3LoUPLzSLLbJMM/9+9wOnk2NCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72840a71a16224a0341460ff31795c284ac25cc3c68367f47ac57dceedef9ccc","last_reissued_at":"2026-06-02T02:05:03.522129Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T02:05:03.522129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Successes and challenges of using Semidefinite Programming for the study of Spin Chain Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat"],"primary_cat":"hep-th","authors_text":"David Berenstein, P. N. Thomas Lloyd","submitted_at":"2026-06-01T10:06:11Z","abstract_excerpt":"We study semidefinite programming (SDP) methods to analyze spin chain Hamiltonians. We examine the ground state energy, the first excited charged states and ground state correlators in two simple models: the Ising model in a transverse magnetic field and the closely related 3-state Potts model. Our goal is to understand precisely what the SDP program is doing and when it works well, why it does so. We focus on the following novel ingredients: using charge constraints to obtain excited states and to see if additional constraints from integrable models are effective at improving the method.\n  At"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02013","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/2606.02013/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":"2606.02013","created_at":"2026-06-02T02:05:03.522185+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.02013v1","created_at":"2026-06-02T02:05:03.522185+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02013","created_at":"2026-06-02T02:05:03.522185+00:00"},{"alias_kind":"pith_short_12","alias_value":"OKCAU4NBMISK","created_at":"2026-06-02T02:05:03.522185+00:00"},{"alias_kind":"pith_short_16","alias_value":"OKCAU4NBMISKANAU","created_at":"2026-06-02T02:05:03.522185+00:00"},{"alias_kind":"pith_short_8","alias_value":"OKCAU4NB","created_at":"2026-06-02T02:05:03.522185+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB","json":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB.json","graph_json":"https://pith.science/api/pith-number/OKCAU4NBMISKANAUMD7TC6K4FB/graph.json","events_json":"https://pith.science/api/pith-number/OKCAU4NBMISKANAUMD7TC6K4FB/events.json","paper":"https://pith.science/paper/OKCAU4NB"},"agent_actions":{"view_html":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB","download_json":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB.json","view_paper":"https://pith.science/paper/OKCAU4NB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.02013&json=true","fetch_graph":"https://pith.science/api/pith-number/OKCAU4NBMISKANAUMD7TC6K4FB/graph.json","fetch_events":"https://pith.science/api/pith-number/OKCAU4NBMISKANAUMD7TC6K4FB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB/action/storage_attestation","attest_author":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB/action/author_attestation","sign_citation":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB/action/citation_signature","submit_replication":"https://pith.science/pith/OKCAU4NBMISKANAUMD7TC6K4FB/action/replication_record"}},"created_at":"2026-06-02T02:05:03.522185+00:00","updated_at":"2026-06-02T02:05:03.522185+00:00"}