{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:I4MUKUB4YS6KO2MPQPNJKRWRV4","short_pith_number":"pith:I4MUKUB4","canonical_record":{"source":{"id":"1801.08554","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-01-25T19:00:54Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1e0ff8099d85550c97b978efbbcce9418597d7322d868c2af765c39c88fcb139","abstract_canon_sha256":"49c7b75c379f0882d6942ddb19b22f063b00afc0ba7d3340ce943034115c3332"},"schema_version":"1.0"},"canonical_sha256":"471945503cc4bca7698f83da9546d1af13f3037fca09f2291c03ab62edfdc16e","source":{"kind":"arxiv","id":"1801.08554","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08554","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08554v3","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08554","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"I4MUKUB4YS6K","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I4MUKUB4YS6KO2MP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I4MUKUB4","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:I4MUKUB4YS6KO2MPQPNJKRWRV4","target":"record","payload":{"canonical_record":{"source":{"id":"1801.08554","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-01-25T19:00:54Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"1e0ff8099d85550c97b978efbbcce9418597d7322d868c2af765c39c88fcb139","abstract_canon_sha256":"49c7b75c379f0882d6942ddb19b22f063b00afc0ba7d3340ce943034115c3332"},"schema_version":"1.0"},"canonical_sha256":"471945503cc4bca7698f83da9546d1af13f3037fca09f2291c03ab62edfdc16e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:17.707430Z","signature_b64":"CVz5W2P7rE2+kDvp9GjKhq+MV7O8q8aaUuvHJRPiiaZCpPSb6ESWqI65jNhW0gctmyX73ZWlCr3aAycduLu2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"471945503cc4bca7698f83da9546d1af13f3037fca09f2291c03ab62edfdc16e","last_reissued_at":"2026-05-17T23:59:17.706940Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:17.706940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.08554","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p3wpBBeZyD/clXMEFiWTGSMdntI9BbuKwSaMPHskt4NILO+QeOxi4hEy8gVpshwte9Yv39ND//HONXJmP0bLAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:34:42.389162Z"},"content_sha256":"3e4ab1bd6c155718333c1231eb3c81e994b6d3acce9798faf3b9984e2d04a46f","schema_version":"1.0","event_id":"sha256:3e4ab1bd6c155718333c1231eb3c81e994b6d3acce9798faf3b9984e2d04a46f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:I4MUKUB4YS6KO2MPQPNJKRWRV4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Lukasz Cincio, Marek M. Rams, Piotr Czarnik","submitted_at":"2018-01-25T19:00:54Z","abstract_excerpt":"We analyze the problem of extracting the correlation length from infinite matrix product states (MPS) and corner transfer matrix (CTM) simulations. When the correlation length is calculated directly from the transfer matrix, it is typically significantly underestimated for finite bond dimensions used in numerical simulation. This is true even when one considers ground states at a distance from the critical point. We introduce extrapolation procedure to overcome this problem. To that end we quantify how much the dominant part of the MPS/CTM transfer matrix spectrum deviates from being continuou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08554","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6IrRX5uINZoV90tWwFT6XkVby4/fHWZjVRBvRLSJuI4mhR8CSWTByvkZ2Z1ESAXs1dX2t+ZXc7QxNUSnhy6AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T04:34:42.389671Z"},"content_sha256":"0ec438edba085202a2a30e1680930e51742fc3b929ea9f409d054497bd9e57ec","schema_version":"1.0","event_id":"sha256:0ec438edba085202a2a30e1680930e51742fc3b929ea9f409d054497bd9e57ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/bundle.json","state_url":"https://pith.science/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/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":"2026-05-27T04:34:42Z","links":{"resolver":"https://pith.science/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4","bundle":"https://pith.science/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/bundle.json","state":"https://pith.science/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I4MUKUB4YS6KO2MPQPNJKRWRV4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I4MUKUB4YS6KO2MPQPNJKRWRV4","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":"49c7b75c379f0882d6942ddb19b22f063b00afc0ba7d3340ce943034115c3332","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-01-25T19:00:54Z","title_canon_sha256":"1e0ff8099d85550c97b978efbbcce9418597d7322d868c2af765c39c88fcb139"},"schema_version":"1.0","source":{"id":"1801.08554","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08554","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08554v3","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08554","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"I4MUKUB4YS6K","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I4MUKUB4YS6KO2MP","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I4MUKUB4","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:0ec438edba085202a2a30e1680930e51742fc3b929ea9f409d054497bd9e57ec","target":"graph","created_at":"2026-05-17T23:59:17Z","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 analyze the problem of extracting the correlation length from infinite matrix product states (MPS) and corner transfer matrix (CTM) simulations. When the correlation length is calculated directly from the transfer matrix, it is typically significantly underestimated for finite bond dimensions used in numerical simulation. This is true even when one considers ground states at a distance from the critical point. We introduce extrapolation procedure to overcome this problem. To that end we quantify how much the dominant part of the MPS/CTM transfer matrix spectrum deviates from being continuou","authors_text":"Lukasz Cincio, Marek M. Rams, Piotr Czarnik","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-01-25T19:00:54Z","title":"Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08554","kind":"arxiv","version":3},"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":"sha256:3e4ab1bd6c155718333c1231eb3c81e994b6d3acce9798faf3b9984e2d04a46f","target":"record","created_at":"2026-05-17T23:59:17Z","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":"49c7b75c379f0882d6942ddb19b22f063b00afc0ba7d3340ce943034115c3332","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-01-25T19:00:54Z","title_canon_sha256":"1e0ff8099d85550c97b978efbbcce9418597d7322d868c2af765c39c88fcb139"},"schema_version":"1.0","source":{"id":"1801.08554","kind":"arxiv","version":3}},"canonical_sha256":"471945503cc4bca7698f83da9546d1af13f3037fca09f2291c03ab62edfdc16e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"471945503cc4bca7698f83da9546d1af13f3037fca09f2291c03ab62edfdc16e","first_computed_at":"2026-05-17T23:59:17.706940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:17.706940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CVz5W2P7rE2+kDvp9GjKhq+MV7O8q8aaUuvHJRPiiaZCpPSb6ESWqI65jNhW0gctmyX73ZWlCr3aAycduLu2Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:17.707430Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08554","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e4ab1bd6c155718333c1231eb3c81e994b6d3acce9798faf3b9984e2d04a46f","sha256:0ec438edba085202a2a30e1680930e51742fc3b929ea9f409d054497bd9e57ec"],"state_sha256":"bc5b19ff7eae42784efb54af883983033506d8d68ce706a428b1af80515a48b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hjAUq11SjhCrQZc+Fc5FO/j/4qGmdixLmSClDYCHBN7+Hl6LlUHeRzAdURbd05MDIR2kia3+qK8LLMnNVYmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T04:34:42.392434Z","bundle_sha256":"0c70894c88474c6253a79af43de6267ef7d13fb8eba52236c9de306312975f45"}}