{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NTSWRTI7CBPOYLJ3KLJGUWCVTX","short_pith_number":"pith:NTSWRTI7","canonical_record":{"source":{"id":"1611.09574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-29T11:34:01Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"4494bd15d9e0a9344349ba85f630ec0c841f23855cea754cf9954f78965b4d6f","abstract_canon_sha256":"237565c8a81da73620e4d696e01311d5304a760509d7dad8135eaaa107722d09"},"schema_version":"1.0"},"canonical_sha256":"6ce568cd1f105eec2d3b52d26a58559dd7b8f5e0357cc6ad88558c64db017aac","source":{"kind":"arxiv","id":"1611.09574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09574","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09574v1","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09574","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"NTSWRTI7CBPO","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_16","alias_value":"NTSWRTI7CBPOYLJ3","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_8","alias_value":"NTSWRTI7","created_at":"2026-07-05T05:07:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NTSWRTI7CBPOYLJ3KLJGUWCVTX","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-29T11:34:01Z","cross_cats_sorted":["physics.comp-ph","quant-ph"],"title_canon_sha256":"4494bd15d9e0a9344349ba85f630ec0c841f23855cea754cf9954f78965b4d6f","abstract_canon_sha256":"237565c8a81da73620e4d696e01311d5304a760509d7dad8135eaaa107722d09"},"schema_version":"1.0"},"canonical_sha256":"6ce568cd1f105eec2d3b52d26a58559dd7b8f5e0357cc6ad88558c64db017aac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:29.912313Z","signature_b64":"RirigKCWAXszMkgNOiDpvnBoiwpNupEMmVGE41gFlVxaSzaD5ubK6UH7wV+G8tf0l/H6/h9HjRpNE17vBMN9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ce568cd1f105eec2d3b52d26a58559dd7b8f5e0357cc6ad88558c64db017aac","last_reissued_at":"2026-07-05T05:07:29.911929Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:29.911929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09574","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":"2026-07-05T05:07:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jSYr0MK1Pz53mzq5hJPvpRqAgHonVt2C5nvJf3vp+zeCOOwkfa/GpGReXhU55YxHSKPDdXxoKGM5upWf82WeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:29:54.507463Z"},"content_sha256":"dce83707707963e5bf8d5fea7aa3d6e326c03fb90bcfd153760e2e70934d7b2d","schema_version":"1.0","event_id":"sha256:dce83707707963e5bf8d5fea7aa3d6e326c03fb90bcfd153760e2e70934d7b2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NTSWRTI7CBPOYLJ3KLJGUWCVTX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalized Lanczos method for systematic optimization of tensor network states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Hai-Dong Xie, Hai-Jun Liao, Hui-Hai Zhao, Jing Chen, Rui-Zhen Huang, Tao Xiang, Zhi-Yuan Liu, Zhi-Yuan Xie","submitted_at":"2016-11-29T11:34:01Z","abstract_excerpt":"We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS generated by Lanczos iteration. This method improves significantly both the accuracy and the efficiency of the tensor-network algorithm and allows the ground state to be determined accurately using TNS with very small virtual bond dimensions. This state contains significantly more entanglement than each individual TNS, reproducing correctly the logarithmic si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09574","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/1611.09574/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":"2026-07-05T05:07:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FeraVyvz0jYk99GqUFldnqbROUtGWHJkZXeDNDBQWfPUz8HOSeCV1Yo4NImN41DvxIe114qlg0pUo1B7SpzZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:29:54.507976Z"},"content_sha256":"3787837d5b2f854d3c3f17b3ecbd9a0c3fed7822ededf941aa95c8b493d3740a","schema_version":"1.0","event_id":"sha256:3787837d5b2f854d3c3f17b3ecbd9a0c3fed7822ededf941aa95c8b493d3740a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/bundle.json","state_url":"https://pith.science/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/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":"2026-08-15T17:29:54Z","links":{"resolver":"https://pith.science/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX","bundle":"https://pith.science/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/bundle.json","state":"https://pith.science/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NTSWRTI7CBPOYLJ3KLJGUWCVTX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NTSWRTI7CBPOYLJ3KLJGUWCVTX","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":"237565c8a81da73620e4d696e01311d5304a760509d7dad8135eaaa107722d09","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-29T11:34:01Z","title_canon_sha256":"4494bd15d9e0a9344349ba85f630ec0c841f23855cea754cf9954f78965b4d6f"},"schema_version":"1.0","source":{"id":"1611.09574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09574","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09574v1","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09574","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_12","alias_value":"NTSWRTI7CBPO","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_16","alias_value":"NTSWRTI7CBPOYLJ3","created_at":"2026-07-05T05:07:29Z"},{"alias_kind":"pith_short_8","alias_value":"NTSWRTI7","created_at":"2026-07-05T05:07:29Z"}],"graph_snapshots":[{"event_id":"sha256:3787837d5b2f854d3c3f17b3ecbd9a0c3fed7822ededf941aa95c8b493d3740a","target":"graph","created_at":"2026-07-05T05:07:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1611.09574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS generated by Lanczos iteration. This method improves significantly both the accuracy and the efficiency of the tensor-network algorithm and allows the ground state to be determined accurately using TNS with very small virtual bond dimensions. This state contains significantly more entanglement than each individual TNS, reproducing correctly the logarithmic si","authors_text":"Hai-Dong Xie, Hai-Jun Liao, Hui-Hai Zhao, Jing Chen, Rui-Zhen Huang, Tao Xiang, Zhi-Yuan Liu, Zhi-Yuan Xie","cross_cats":["physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-29T11:34:01Z","title":"A generalized Lanczos method for systematic optimization of tensor network states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09574","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:dce83707707963e5bf8d5fea7aa3d6e326c03fb90bcfd153760e2e70934d7b2d","target":"record","created_at":"2026-07-05T05:07:29Z","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":"237565c8a81da73620e4d696e01311d5304a760509d7dad8135eaaa107722d09","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-11-29T11:34:01Z","title_canon_sha256":"4494bd15d9e0a9344349ba85f630ec0c841f23855cea754cf9954f78965b4d6f"},"schema_version":"1.0","source":{"id":"1611.09574","kind":"arxiv","version":1}},"canonical_sha256":"6ce568cd1f105eec2d3b52d26a58559dd7b8f5e0357cc6ad88558c64db017aac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ce568cd1f105eec2d3b52d26a58559dd7b8f5e0357cc6ad88558c64db017aac","first_computed_at":"2026-07-05T05:07:29.911929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:29.911929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RirigKCWAXszMkgNOiDpvnBoiwpNupEMmVGE41gFlVxaSzaD5ubK6UH7wV+G8tf0l/H6/h9HjRpNE17vBMN9AA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:29.912313Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dce83707707963e5bf8d5fea7aa3d6e326c03fb90bcfd153760e2e70934d7b2d","sha256:3787837d5b2f854d3c3f17b3ecbd9a0c3fed7822ededf941aa95c8b493d3740a"],"state_sha256":"73dbdc99eb0eca3b25391b32f9956285148dc9c1eff400aea1955a48cdb0e557"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rjLxMp7u4HMoGM7pYAjgMzd+CBhAJ1uG8zezx5UKdLRJHH6v4L19uKZ32nh1uqHxTKOaJQD9KfhFGk0ZeiEsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T17:29:54.513655Z","bundle_sha256":"6b32f8d9c21d94bd9d5e34c4708b868af1e4a18b74b9b3640eac41f3e3cca40c"}}