{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:B7G5H6ROWDPU5UDYUOU7FQ5ZCU","short_pith_number":"pith:B7G5H6RO","schema_version":"1.0","canonical_sha256":"0fcdd3fa2eb0df4ed078a3a9f2c3b915318fe0f34f3ef264511a1da6e09e7397","source":{"kind":"arxiv","id":"2410.23282","version":2},"attestation_state":"computed","paper":{"title":"Exact overlaps for \"all\" integrable matrix product states of rational spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Tamas Gombor","submitted_at":"2024-10-30T17:58:23Z","abstract_excerpt":"The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the $\\mathfrak{gl}_{N}$, $\\mathfrak{o}_{N}$ and $\\mathfrak{sp}_{N}$ symmetric spin chains with arbitrary representations."},"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":"2410.23282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-10-30T17:58:23Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"4a3059a2e14bd90dfd0952bb0eddfd7fc079c0ce731cc391fb96ff63916a7a98","abstract_canon_sha256":"586602fac3855e0f8504c69e1f1b2625e5320b597c343d89e94dd00c7b223928"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:41:43.848844Z","signature_b64":"1HipESp+u3NzeDNn/9eAa03IEqGSchtKx/WaPto2udOlHsgdA4Tc3cWf4nH6fZBjCPPTTfInjhfXenepSqAGDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fcdd3fa2eb0df4ed078a3a9f2c3b915318fe0f34f3ef264511a1da6e09e7397","last_reissued_at":"2026-07-05T09:41:43.848353Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:41:43.848353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact overlaps for \"all\" integrable matrix product states of rational spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Tamas Gombor","submitted_at":"2024-10-30T17:58:23Z","abstract_excerpt":"The overlaps between integrable matrix product states (MPS) and Bethe states are important in both the non-equilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPS of the $\\mathfrak{gl}_{N}$, $\\mathfrak{o}_{N}$ and $\\mathfrak{sp}_{N}$ symmetric spin chains with arbitrary representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.23282","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/2410.23282/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":"2410.23282","created_at":"2026-07-05T09:41:43.848415+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.23282v2","created_at":"2026-07-05T09:41:43.848415+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.23282","created_at":"2026-07-05T09:41:43.848415+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7G5H6ROWDPU","created_at":"2026-07-05T09:41:43.848415+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7G5H6ROWDPU5UDY","created_at":"2026-07-05T09:41:43.848415+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7G5H6RO","created_at":"2026-07-05T09:41:43.848415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2602.01697","citing_title":"Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations","ref_index":49,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU","json":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU.json","graph_json":"https://pith.science/api/pith-number/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/graph.json","events_json":"https://pith.science/api/pith-number/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/events.json","paper":"https://pith.science/paper/B7G5H6RO"},"agent_actions":{"view_html":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU","download_json":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU.json","view_paper":"https://pith.science/paper/B7G5H6RO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.23282&json=true","fetch_graph":"https://pith.science/api/pith-number/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/graph.json","fetch_events":"https://pith.science/api/pith-number/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/action/storage_attestation","attest_author":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/action/author_attestation","sign_citation":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/action/citation_signature","submit_replication":"https://pith.science/pith/B7G5H6ROWDPU5UDYUOU7FQ5ZCU/action/replication_record"}},"created_at":"2026-07-05T09:41:43.848415+00:00","updated_at":"2026-07-05T09:41:43.848415+00:00"}