{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:SVGU4TED3ZPDZNGQWOCRJBXYFH","short_pith_number":"pith:SVGU4TED","schema_version":"1.0","canonical_sha256":"954d4e4c83de5e3cb4d0b3851486f829c5544107d61fe1938296221c27f531e4","source":{"kind":"arxiv","id":"2606.20522","version":1},"attestation_state":"computed","paper":{"title":"Transfer-matrix functions for algebraically decaying interactions in variational infinite matrix product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Qi Yang","submitted_at":"2026-06-18T17:37:58Z","abstract_excerpt":"Variational infinite matrix product state (iMPS) calculations usually make Hamiltonians with algebraically decaying interactions compatible with standard MPO algorithms by first replacing the target Hamiltonian with a finite-pole sum-of-exponentials surrogate, thereby introducing a Hamiltonian-representation residual. We formulate the fixed-$D$ variational energy without introducing such a surrogate. For a fixed finite-$D$ MPS, the algebraic tail can be summed directly through the connected transfer matrix: the tail $e^{\\mathrm{i} Qr}/r^\\alpha$ is represented by the matrix function $F_{\\alpha,"},"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":"2606.20522","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-18T17:37:58Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"ec41b96bd1ac02f40af9eae4f4bbc5f9efbbd2dfd00395d5f361720592df0c08","abstract_canon_sha256":"ce816e7446a040df878bf549da7b5a3b3878a5a5e2446724d74ffea1c9674d2c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:13:14.437231Z","signature_b64":"LY2HKYeI3CwzhXF4LNlcv7Kkunazw8DQQunTi5V9hDgGZowAespmU93c1S0IqAIaO/zeKiS27gGUOXeTm3tbCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"954d4e4c83de5e3cb4d0b3851486f829c5544107d61fe1938296221c27f531e4","last_reissued_at":"2026-06-19T16:13:14.436878Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:13:14.436878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transfer-matrix functions for algebraically decaying interactions in variational infinite matrix product states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Qi Yang","submitted_at":"2026-06-18T17:37:58Z","abstract_excerpt":"Variational infinite matrix product state (iMPS) calculations usually make Hamiltonians with algebraically decaying interactions compatible with standard MPO algorithms by first replacing the target Hamiltonian with a finite-pole sum-of-exponentials surrogate, thereby introducing a Hamiltonian-representation residual. We formulate the fixed-$D$ variational energy without introducing such a surrogate. For a fixed finite-$D$ MPS, the algebraic tail can be summed directly through the connected transfer matrix: the tail $e^{\\mathrm{i} Qr}/r^\\alpha$ is represented by the matrix function $F_{\\alpha,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20522","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/2606.20522/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":"2606.20522","created_at":"2026-06-19T16:13:14.436942+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.20522v1","created_at":"2026-06-19T16:13:14.436942+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20522","created_at":"2026-06-19T16:13:14.436942+00:00"},{"alias_kind":"pith_short_12","alias_value":"SVGU4TED3ZPD","created_at":"2026-06-19T16:13:14.436942+00:00"},{"alias_kind":"pith_short_16","alias_value":"SVGU4TED3ZPDZNGQ","created_at":"2026-06-19T16:13:14.436942+00:00"},{"alias_kind":"pith_short_8","alias_value":"SVGU4TED","created_at":"2026-06-19T16:13:14.436942+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/SVGU4TED3ZPDZNGQWOCRJBXYFH","json":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH.json","graph_json":"https://pith.science/api/pith-number/SVGU4TED3ZPDZNGQWOCRJBXYFH/graph.json","events_json":"https://pith.science/api/pith-number/SVGU4TED3ZPDZNGQWOCRJBXYFH/events.json","paper":"https://pith.science/paper/SVGU4TED"},"agent_actions":{"view_html":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH","download_json":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH.json","view_paper":"https://pith.science/paper/SVGU4TED","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.20522&json=true","fetch_graph":"https://pith.science/api/pith-number/SVGU4TED3ZPDZNGQWOCRJBXYFH/graph.json","fetch_events":"https://pith.science/api/pith-number/SVGU4TED3ZPDZNGQWOCRJBXYFH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH/action/storage_attestation","attest_author":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH/action/author_attestation","sign_citation":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH/action/citation_signature","submit_replication":"https://pith.science/pith/SVGU4TED3ZPDZNGQWOCRJBXYFH/action/replication_record"}},"created_at":"2026-06-19T16:13:14.436942+00:00","updated_at":"2026-06-19T16:13:14.436942+00:00"}