{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JKBVMQFLTEEM3MBWWC374VKVLN","short_pith_number":"pith:JKBVMQFL","schema_version":"1.0","canonical_sha256":"4a835640ab9908cdb036b0b7fe55555b40cd071bd212b917157b48e4ddaec5f6","source":{"kind":"arxiv","id":"1605.09301","version":2},"attestation_state":"computed","paper":{"title":"An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Dayasindhu Dey, Debasmita Maiti, Manoranjan Kumar","submitted_at":"2016-05-30T16:21:50Z","abstract_excerpt":"The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the conventional DMRG has been a challenging job from the inception of DMRG. The recent development of the Matrix Product State (MPS) algorithm gives a new approach to find accurate results for the one dimensional PBC system. The most efficient implementation of the MPS algorithm can scale as O($p \\times m^3$), where $p$ can vary from 4 to $m^2$. In this paper, we propo"},"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":"1605.09301","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-30T16:21:50Z","cross_cats_sorted":[],"title_canon_sha256":"e187a70bc8bba26fadacee22e5fdedd692185ca013d1effcffd6c509cfddbdf0","abstract_canon_sha256":"7586c356ab9c28bf950280ce0f63c3d3ff8c066b4e25808f17057b47a1b542bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:37.862285Z","signature_b64":"9ug3VynBApYwPxlgKN5VJndE5nStBN3+9LWYi8Xozz/a/jEYbX3dgiEoysMFDJTmaROvNaXUGhG6aWrAOvGdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a835640ab9908cdb036b0b7fe55555b40cd071bd212b917157b48e4ddaec5f6","last_reissued_at":"2026-05-18T00:56:37.861565Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:37.861565Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Efficient Density Matrix Renormalization Group Algorithm for Chains with Periodic Boundary Condition","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Dayasindhu Dey, Debasmita Maiti, Manoranjan Kumar","submitted_at":"2016-05-30T16:21:50Z","abstract_excerpt":"The Density Matrix Renormalization Group (DMRG) is a state-of-the-art numerical technique for a one dimensional quantum many-body system; but calculating accurate results for a system with Periodic Boundary Condition (PBC) from the conventional DMRG has been a challenging job from the inception of DMRG. The recent development of the Matrix Product State (MPS) algorithm gives a new approach to find accurate results for the one dimensional PBC system. The most efficient implementation of the MPS algorithm can scale as O($p \\times m^3$), where $p$ can vary from 4 to $m^2$. In this paper, we propo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.09301","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":""},"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":"1605.09301","created_at":"2026-05-18T00:56:37.861661+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.09301v2","created_at":"2026-05-18T00:56:37.861661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.09301","created_at":"2026-05-18T00:56:37.861661+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKBVMQFLTEEM","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKBVMQFLTEEM3MBW","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKBVMQFL","created_at":"2026-05-18T12:30:25.849896+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/JKBVMQFLTEEM3MBWWC374VKVLN","json":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN.json","graph_json":"https://pith.science/api/pith-number/JKBVMQFLTEEM3MBWWC374VKVLN/graph.json","events_json":"https://pith.science/api/pith-number/JKBVMQFLTEEM3MBWWC374VKVLN/events.json","paper":"https://pith.science/paper/JKBVMQFL"},"agent_actions":{"view_html":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN","download_json":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN.json","view_paper":"https://pith.science/paper/JKBVMQFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.09301&json=true","fetch_graph":"https://pith.science/api/pith-number/JKBVMQFLTEEM3MBWWC374VKVLN/graph.json","fetch_events":"https://pith.science/api/pith-number/JKBVMQFLTEEM3MBWWC374VKVLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN/action/storage_attestation","attest_author":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN/action/author_attestation","sign_citation":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN/action/citation_signature","submit_replication":"https://pith.science/pith/JKBVMQFLTEEM3MBWWC374VKVLN/action/replication_record"}},"created_at":"2026-05-18T00:56:37.861661+00:00","updated_at":"2026-05-18T00:56:37.861661+00:00"}