{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2IMQLVCOBCTIHFBSYMNOK5CAVE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9c2009f53daf04141e1bf763974acb6e4ab13d94797267b9aabc3f37420beded","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-22T22:22:10Z","title_canon_sha256":"84780ecdcf6a69cae74ebbec7d44852c1ffb10f413e4d9595ed84f0993645d73"},"schema_version":"1.0","source":{"id":"1807.08378","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08378","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08378v2","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08378","created_at":"2026-05-18T00:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"2IMQLVCOBCTI","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2IMQLVCOBCTIHFBS","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2IMQLVCO","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:0b0e841b50dda1e899376cd7c767adf6cc93c4ed7abcaae1d189ebfa9e13cd90","target":"graph","created_at":"2026-05-18T00:00:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe a practical and efficient approach to represent physically realistic long-range interactions in two-dimensional tensor network algorithms via projected entangled-pair operators (PEPOs). We express the long-range interaction as a linear combination of correlation functions of an auxiliary system with only nearest-neighbor interactions. To obtain a smooth and radially isotropic interaction across all length scales, we map the physical lattice to an auxiliary lattice of expanded size. Our construction yields a long-range PEPO as a sum of ancillary PEPOs, each of small, constant bond d","authors_text":"Garnet Kin-Lic Chan, Matthew J. O'Rourke, Zhendong Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-22T22:22:10Z","title":"Efficient representation of long-range interactions in tensor network algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08378","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5adb7c3c887aa2b94d51b7d4ef7138d60dd03c11db65f013b57679c3d21e604e","target":"record","created_at":"2026-05-18T00:00:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9c2009f53daf04141e1bf763974acb6e4ab13d94797267b9aabc3f37420beded","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-07-22T22:22:10Z","title_canon_sha256":"84780ecdcf6a69cae74ebbec7d44852c1ffb10f413e4d9595ed84f0993645d73"},"schema_version":"1.0","source":{"id":"1807.08378","kind":"arxiv","version":2}},"canonical_sha256":"d21905d44e08a6839432c31ae57440a919c1bbe7abda17e20a673f382f2658da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d21905d44e08a6839432c31ae57440a919c1bbe7abda17e20a673f382f2658da","first_computed_at":"2026-05-18T00:00:29.880669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:29.880669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N+5IvEoxkQj4XH8HPFnRHJEY8AAW4BcwN6C4/GAtnmK8SNGWhKShqbmRXNcDCQLuEbnxPBphz6eWo9TPe2QiCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:29.881099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.08378","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5adb7c3c887aa2b94d51b7d4ef7138d60dd03c11db65f013b57679c3d21e604e","sha256:0b0e841b50dda1e899376cd7c767adf6cc93c4ed7abcaae1d189ebfa9e13cd90"],"state_sha256":"d6905dc74d95f105ab17a1ee7b3a24399bd5b111ca7f6f3982ea324fbace026a"}