{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:5IQ2OEDXFVC2IUYQ4U2HNKBYNY","short_pith_number":"pith:5IQ2OEDX","canonical_record":{"source":{"id":"0707.4223","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-28T08:50:11Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3578ea7e14b43f93fc31d04f390771d2fa8aacb1b85e0ce42ed3bc564b519204","abstract_canon_sha256":"ee688a0ebdefcb51732b9a482db0a42bb9a1d9c4d9ece9cef0c5bfb4a9988792"},"schema_version":"1.0"},"canonical_sha256":"ea21a710772d45a45310e53476a8386e38e9d2f46158f853c4bb23d360ce6143","source":{"kind":"arxiv","id":"0707.4223","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4223","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4223v2","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4223","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"5IQ2OEDXFVC2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5IQ2OEDXFVC2IUYQ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5IQ2OEDX","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:5IQ2OEDXFVC2IUYQ4U2HNKBYNY","target":"record","payload":{"canonical_record":{"source":{"id":"0707.4223","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-28T08:50:11Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3578ea7e14b43f93fc31d04f390771d2fa8aacb1b85e0ce42ed3bc564b519204","abstract_canon_sha256":"ee688a0ebdefcb51732b9a482db0a42bb9a1d9c4d9ece9cef0c5bfb4a9988792"},"schema_version":"1.0"},"canonical_sha256":"ea21a710772d45a45310e53476a8386e38e9d2f46158f853c4bb23d360ce6143","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:12.380929Z","signature_b64":"IcRbHEK5I0DbHVN0Uoj2eL5oI6JRe/dzNd7UH9RwxiB9w0txFEXf4z2b6V0dQObqs2Ll88ZUjPUyqN8PKyCvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea21a710772d45a45310e53476a8386e38e9d2f46158f853c4bb23d360ce6143","last_reissued_at":"2026-05-18T04:16:12.380476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:12.380476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0707.4223","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6Gd/EBi5UN2h1fl93ax9JQTtLbkyNobRNMiTvBOb+la8c2u6Ug02Ef3dyIGMYeAMFPjpP6galKogU3liy0IAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:15:08.394077Z"},"content_sha256":"0572ab06c466c9cc5fd6e760a57aba5fb4e5d6783901f247ae47def8255d87d8","schema_version":"1.0","event_id":"sha256:0572ab06c466c9cc5fd6e760a57aba5fb4e5d6783901f247ae47def8255d87d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:5IQ2OEDXFVC2IUYQ4U2HNKBYNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Li-Xiang Cen, Z. D. Wang","submitted_at":"2007-07-28T08:50:11Z","abstract_excerpt":"The property of quantum many-body systems under spatial reflection and the relevant physics of renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the densit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4223","kind":"arxiv","version":2},"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":"2026-05-18T04:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1jdP+RlII0Lma2rDmpuO7Sn+f891mJDl6WKz0xkSgwX/s61/SEv0ALpjHYF4fvQELBz+MYx51RXUMOgjpHzPBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:15:08.394790Z"},"content_sha256":"2c5cfafd4777d9efdefe1fb1c9697bd7575eecca8fbdcfe868d631357cdd7bb3","schema_version":"1.0","event_id":"sha256:2c5cfafd4777d9efdefe1fb1c9697bd7575eecca8fbdcfe868d631357cdd7bb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/bundle.json","state_url":"https://pith.science/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/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":"2026-05-25T23:15:08Z","links":{"resolver":"https://pith.science/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY","bundle":"https://pith.science/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/bundle.json","state":"https://pith.science/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5IQ2OEDXFVC2IUYQ4U2HNKBYNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:5IQ2OEDXFVC2IUYQ4U2HNKBYNY","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":"ee688a0ebdefcb51732b9a482db0a42bb9a1d9c4d9ece9cef0c5bfb4a9988792","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-28T08:50:11Z","title_canon_sha256":"3578ea7e14b43f93fc31d04f390771d2fa8aacb1b85e0ce42ed3bc564b519204"},"schema_version":"1.0","source":{"id":"0707.4223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4223","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4223v2","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4223","created_at":"2026-05-18T04:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"5IQ2OEDXFVC2","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"5IQ2OEDXFVC2IUYQ","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"5IQ2OEDX","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:2c5cfafd4777d9efdefe1fb1c9697bd7575eecca8fbdcfe868d631357cdd7bb3","target":"graph","created_at":"2026-05-18T04:16:12Z","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":"The property of quantum many-body systems under spatial reflection and the relevant physics of renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the densit","authors_text":"Li-Xiang Cen, Z. D. Wang","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2007-07-28T08:50:11Z","title":"Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4223","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":"sha256:0572ab06c466c9cc5fd6e760a57aba5fb4e5d6783901f247ae47def8255d87d8","target":"record","created_at":"2026-05-18T04:16:12Z","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":"ee688a0ebdefcb51732b9a482db0a42bb9a1d9c4d9ece9cef0c5bfb4a9988792","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"quant-ph","submitted_at":"2007-07-28T08:50:11Z","title_canon_sha256":"3578ea7e14b43f93fc31d04f390771d2fa8aacb1b85e0ce42ed3bc564b519204"},"schema_version":"1.0","source":{"id":"0707.4223","kind":"arxiv","version":2}},"canonical_sha256":"ea21a710772d45a45310e53476a8386e38e9d2f46158f853c4bb23d360ce6143","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea21a710772d45a45310e53476a8386e38e9d2f46158f853c4bb23d360ce6143","first_computed_at":"2026-05-18T04:16:12.380476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:12.380476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IcRbHEK5I0DbHVN0Uoj2eL5oI6JRe/dzNd7UH9RwxiB9w0txFEXf4z2b6V0dQObqs2Ll88ZUjPUyqN8PKyCvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:12.380929Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.4223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0572ab06c466c9cc5fd6e760a57aba5fb4e5d6783901f247ae47def8255d87d8","sha256:2c5cfafd4777d9efdefe1fb1c9697bd7575eecca8fbdcfe868d631357cdd7bb3"],"state_sha256":"2c5a94470861dcd55ff499a69ebd844f7fc305711f9e8aa4feda90baa5d56596"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7pZDPgKNPxpZ2ZQV740/35OZUwp6bLbOP+7Y/rlXjjZD/+AjSR8hH2AxMX+/Jil25+SgQoi7byTfV+qEGH7CAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:15:08.398564Z","bundle_sha256":"a512ffc338669e76b42771d01a7dc0cb9b815b834f2f6017d3a4a56f0c1d1098"}}