{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:XITB6XV5XXEE3FCYJL3TSVZI3S","short_pith_number":"pith:XITB6XV5","schema_version":"1.0","canonical_sha256":"ba261f5ebdbdc84d94584af7395728dcafd7fb6f043f2d8feaaa10454bd9ced1","source":{"kind":"arxiv","id":"1903.00432","version":1},"attestation_state":"computed","paper":{"title":"Comb tensor networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Natalia Chepiga, Steven R. White","submitted_at":"2019-03-01T17:46:51Z","abstract_excerpt":"In this paper we propose a special type of a tree tensor network that has the geometry of a comb---a 1D backbone with finite 1D teeth projecting out from it. This tensor network is designed to provide an effective description of higher dimensional objects with special limited interactions, or, alternatively, one-dimensional systems composed of complicated zero-dimensional objects. We provide details on the best numerical procedures for the proposed network, including an algorithm for variational optimization of the wave-function as a comb tensor network, and the transformation of the comb into"},"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":"1903.00432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2019-03-01T17:46:51Z","cross_cats_sorted":[],"title_canon_sha256":"42b6a7db1ae4b5ec15e37785678f2abac82e01a517b67eefb1357bf89082bb49","abstract_canon_sha256":"c413287a2b47f7195906b07261b3ef11f290aeedcef9e09a310c1be2d2cfec5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:13.648926Z","signature_b64":"276uiCjudZj9cQWLImxkrcVClo0KB9KBVwGwlqa/oO8plP/B/UXGVL2hERVi0o6xsFhVrnEViVc2GNBMmjS4CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba261f5ebdbdc84d94584af7395728dcafd7fb6f043f2d8feaaa10454bd9ced1","last_reissued_at":"2026-05-17T23:42:13.648417Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:13.648417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comb tensor networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Natalia Chepiga, Steven R. White","submitted_at":"2019-03-01T17:46:51Z","abstract_excerpt":"In this paper we propose a special type of a tree tensor network that has the geometry of a comb---a 1D backbone with finite 1D teeth projecting out from it. This tensor network is designed to provide an effective description of higher dimensional objects with special limited interactions, or, alternatively, one-dimensional systems composed of complicated zero-dimensional objects. We provide details on the best numerical procedures for the proposed network, including an algorithm for variational optimization of the wave-function as a comb tensor network, and the transformation of the comb into"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00432","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":""},"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":"1903.00432","created_at":"2026-05-17T23:42:13.648498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.00432v1","created_at":"2026-05-17T23:42:13.648498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00432","created_at":"2026-05-17T23:42:13.648498+00:00"},{"alias_kind":"pith_short_12","alias_value":"XITB6XV5XXEE","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"XITB6XV5XXEE3FCY","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"XITB6XV5","created_at":"2026-05-18T12:33:33.725879+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/XITB6XV5XXEE3FCYJL3TSVZI3S","json":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S.json","graph_json":"https://pith.science/api/pith-number/XITB6XV5XXEE3FCYJL3TSVZI3S/graph.json","events_json":"https://pith.science/api/pith-number/XITB6XV5XXEE3FCYJL3TSVZI3S/events.json","paper":"https://pith.science/paper/XITB6XV5"},"agent_actions":{"view_html":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S","download_json":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S.json","view_paper":"https://pith.science/paper/XITB6XV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.00432&json=true","fetch_graph":"https://pith.science/api/pith-number/XITB6XV5XXEE3FCYJL3TSVZI3S/graph.json","fetch_events":"https://pith.science/api/pith-number/XITB6XV5XXEE3FCYJL3TSVZI3S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S/action/storage_attestation","attest_author":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S/action/author_attestation","sign_citation":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S/action/citation_signature","submit_replication":"https://pith.science/pith/XITB6XV5XXEE3FCYJL3TSVZI3S/action/replication_record"}},"created_at":"2026-05-17T23:42:13.648498+00:00","updated_at":"2026-05-17T23:42:13.648498+00:00"}