{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PW2PACHSCEZKO4DR77CBH2ZDC4","short_pith_number":"pith:PW2PACHS","canonical_record":{"source":{"id":"2306.08212","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-06-14T02:54:12Z","cross_cats_sorted":[],"title_canon_sha256":"4ca62f8bc80847191a0c3932ef3bfad7675307d73f49fc08aafc5f1cd97ba3ae","abstract_canon_sha256":"5769daa483a73309d6d77974cbc3461b8d8c8ab9d9382fd95679c37d5d6a7085"},"schema_version":"1.0"},"canonical_sha256":"7db4f008f21132a77071ffc413eb2317312358ec1bf482f2de3a620d18dceb2f","source":{"kind":"arxiv","id":"2306.08212","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08212","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08212v1","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08212","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"PW2PACHSCEZK","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_16","alias_value":"PW2PACHSCEZKO4DR","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_8","alias_value":"PW2PACHS","created_at":"2026-07-05T06:20:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PW2PACHSCEZKO4DR77CBH2ZDC4","target":"record","payload":{"canonical_record":{"source":{"id":"2306.08212","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-06-14T02:54:12Z","cross_cats_sorted":[],"title_canon_sha256":"4ca62f8bc80847191a0c3932ef3bfad7675307d73f49fc08aafc5f1cd97ba3ae","abstract_canon_sha256":"5769daa483a73309d6d77974cbc3461b8d8c8ab9d9382fd95679c37d5d6a7085"},"schema_version":"1.0"},"canonical_sha256":"7db4f008f21132a77071ffc413eb2317312358ec1bf482f2de3a620d18dceb2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:20:49.327339Z","signature_b64":"FyHXTkqWg9ADy3f6CwzUN4h9T26H7ilsVCWsXQejBKKBR8JAcbBONuKkTx86zAHcSryfUEmXRMOqNgmbvXY5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7db4f008f21132a77071ffc413eb2317312358ec1bf482f2de3a620d18dceb2f","last_reissued_at":"2026-07-05T06:20:49.326866Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:20:49.326866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.08212","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WwcdDiOL/Grn9ZdeZc4NXximjf14g35WqbBUpp+c4KGfIZMSASn/1wXaPmvJDMOa0uLPG1IZmtd3a6IADYqXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:12:07.140464Z"},"content_sha256":"8d3d59a12b11259adaf72d34847fddd7c8077d1b0dee49c390ac1b68f651afff","schema_version":"1.0","event_id":"sha256:8d3d59a12b11259adaf72d34847fddd7c8077d1b0dee49c390ac1b68f651afff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PW2PACHSCEZKO4DR77CBH2ZDC4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reduced Contraction Costs of Corner-Transfer Methods for PEPS","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Glen Evenbly, Wangwei Lan","submitted_at":"2023-06-14T02:54:12Z","abstract_excerpt":"We propose a pair of approximations that allows the leading order computational cost of contracting an infinite projected entangled-pair state (iPEPS) to be reduced from $\\mathcal{O}(\\chi^3D^6)$ to $\\mathcal{O}(\\chi^3D^3)$ when using a corner-transfer approach. The first approximation involves (i) reducing the environment needed for truncation of the boundary tensors (ii) relies on the sequential contraction and truncation of bra and ket indices, rather than doing both together as with the established algorithm. To verify the algorithm, we perform benchmark simulations over square lattice Heis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08212","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/2306.08212/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XQIpZSKGAKcVAfk1di/sZAeao+gYx+Hyh/3H5nc9GWIvKBBiCTOPX/C+dRyC3rHlxTElr+C5ZNkaMqTe2qnjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:12:07.140960Z"},"content_sha256":"90db31c574f8bb965133bc088068486735ff3a8639353af7d220631b5c56fdef","schema_version":"1.0","event_id":"sha256:90db31c574f8bb965133bc088068486735ff3a8639353af7d220631b5c56fdef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/bundle.json","state_url":"https://pith.science/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T15:12:07Z","links":{"resolver":"https://pith.science/pith/PW2PACHSCEZKO4DR77CBH2ZDC4","bundle":"https://pith.science/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/bundle.json","state":"https://pith.science/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PW2PACHSCEZKO4DR77CBH2ZDC4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PW2PACHSCEZKO4DR77CBH2ZDC4","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":"5769daa483a73309d6d77974cbc3461b8d8c8ab9d9382fd95679c37d5d6a7085","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-06-14T02:54:12Z","title_canon_sha256":"4ca62f8bc80847191a0c3932ef3bfad7675307d73f49fc08aafc5f1cd97ba3ae"},"schema_version":"1.0","source":{"id":"2306.08212","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.08212","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"2306.08212v1","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.08212","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"PW2PACHSCEZK","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_16","alias_value":"PW2PACHSCEZKO4DR","created_at":"2026-07-05T06:20:49Z"},{"alias_kind":"pith_short_8","alias_value":"PW2PACHS","created_at":"2026-07-05T06:20:49Z"}],"graph_snapshots":[{"event_id":"sha256:90db31c574f8bb965133bc088068486735ff3a8639353af7d220631b5c56fdef","target":"graph","created_at":"2026-07-05T06:20:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.08212/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a pair of approximations that allows the leading order computational cost of contracting an infinite projected entangled-pair state (iPEPS) to be reduced from $\\mathcal{O}(\\chi^3D^6)$ to $\\mathcal{O}(\\chi^3D^3)$ when using a corner-transfer approach. The first approximation involves (i) reducing the environment needed for truncation of the boundary tensors (ii) relies on the sequential contraction and truncation of bra and ket indices, rather than doing both together as with the established algorithm. To verify the algorithm, we perform benchmark simulations over square lattice Heis","authors_text":"Glen Evenbly, Wangwei Lan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-06-14T02:54:12Z","title":"Reduced Contraction Costs of Corner-Transfer Methods for PEPS"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08212","kind":"arxiv","version":1},"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":"sha256:8d3d59a12b11259adaf72d34847fddd7c8077d1b0dee49c390ac1b68f651afff","target":"record","created_at":"2026-07-05T06:20:49Z","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":"5769daa483a73309d6d77974cbc3461b8d8c8ab9d9382fd95679c37d5d6a7085","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-06-14T02:54:12Z","title_canon_sha256":"4ca62f8bc80847191a0c3932ef3bfad7675307d73f49fc08aafc5f1cd97ba3ae"},"schema_version":"1.0","source":{"id":"2306.08212","kind":"arxiv","version":1}},"canonical_sha256":"7db4f008f21132a77071ffc413eb2317312358ec1bf482f2de3a620d18dceb2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7db4f008f21132a77071ffc413eb2317312358ec1bf482f2de3a620d18dceb2f","first_computed_at":"2026-07-05T06:20:49.326866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:20:49.326866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FyHXTkqWg9ADy3f6CwzUN4h9T26H7ilsVCWsXQejBKKBR8JAcbBONuKkTx86zAHcSryfUEmXRMOqNgmbvXY5CA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:20:49.327339Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.08212","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d3d59a12b11259adaf72d34847fddd7c8077d1b0dee49c390ac1b68f651afff","sha256:90db31c574f8bb965133bc088068486735ff3a8639353af7d220631b5c56fdef"],"state_sha256":"76cd4161f5bc73d6978265a7470abd2e2ef1002de905caccea52ba556fefc58f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88mDlkFu9W568s2HByNBX3bI5vDMOLmdETebFIL9ky8Ok0qHqbWRNhEmIlC1LfE2fyR47nqJ4Vwphk3PJS3IAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T15:12:07.144902Z","bundle_sha256":"83716d22e4f933d50326e53dbe45acbe7fc63bb753be2977f1abdc1e517b2ab8"}}