{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UG7T7RHI2K5BXFNSZZ4GL6LVQY","short_pith_number":"pith:UG7T7RHI","canonical_record":{"source":{"id":"1610.00761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-03T21:31:31Z","cross_cats_sorted":[],"title_canon_sha256":"5e73cccd2ecec8d445a50ae0c790b9e941a03908f4dff6f1a5b6b69a338693d6","abstract_canon_sha256":"907a246e9e4df040d21656a7b70b647a77666de356e200d3c734df8e322785a8"},"schema_version":"1.0"},"canonical_sha256":"a1bf3fc4e8d2ba1b95b2ce7865f975861a94c8517ab8cb37a8d125b34996688e","source":{"kind":"arxiv","id":"1610.00761","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00761","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00761v1","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00761","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"UG7T7RHI2K5B","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UG7T7RHI2K5BXFNS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UG7T7RHI","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UG7T7RHI2K5BXFNSZZ4GL6LVQY","target":"record","payload":{"canonical_record":{"source":{"id":"1610.00761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-03T21:31:31Z","cross_cats_sorted":[],"title_canon_sha256":"5e73cccd2ecec8d445a50ae0c790b9e941a03908f4dff6f1a5b6b69a338693d6","abstract_canon_sha256":"907a246e9e4df040d21656a7b70b647a77666de356e200d3c734df8e322785a8"},"schema_version":"1.0"},"canonical_sha256":"a1bf3fc4e8d2ba1b95b2ce7865f975861a94c8517ab8cb37a8d125b34996688e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:13.207196Z","signature_b64":"VwidXk7HnApZI5j8DasSE1UliYFjKLU0I/Am/VohdEFeLujANLRUC+/BjxXSaYz80DXmbVeWeOor7LHEBlFhAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1bf3fc4e8d2ba1b95b2ce7865f975861a94c8517ab8cb37a8d125b34996688e","last_reissued_at":"2026-05-18T01:03:13.206760Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:13.206760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.00761","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":"2026-05-18T01:03:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fw14B7Fq4yJB6jh2gfVbnTTM+W+Vb91TkL0ZZM1/risxPupw1ZfEBeWYBvFMFI7sNzviBKMy8kqryzppciN/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:24:19.973559Z"},"content_sha256":"e0e018385e5d45b93578180bcb866e95038cf0e60b9f0417798046fb4ab85121","schema_version":"1.0","event_id":"sha256:e0e018385e5d45b93578180bcb866e95038cf0e60b9f0417798046fb4ab85121"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UG7T7RHI2K5BXFNSZZ4GL6LVQY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatial dependence of entanglement renormalization in $XY$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Asif Ilyas, Khalid Khan, M. Usman","submitted_at":"2016-10-03T21:31:31Z","abstract_excerpt":"In this article a comparative study of the renormalization of entanglement in one, two and three dimensional space and its relation with quantum phase transition (QPT) near the critical point is presented by implementing the Quantum Renormalization Group (QRG) technique. Adopting the Kadanoff's block approach, numerical results for the concurrence are obtained for the spin -1/2 $XY$ model in all the spatial dimensions. The results show similar qualitative behavior as we move from the lower to the higher dimensions in space but the number of iterations reduces for achieving the QPT in the therm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00761","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":""},"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":"2026-05-18T01:03:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oqrzkpz8KmptCWfm3aFF+4keZRDj194WNYwSeINDNgjoJDiUwmeY381J7Y27np7lpP7rNKHUXMIIjHytoI3pCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:24:19.973901Z"},"content_sha256":"86661894a182dad40073c4e600d5b5aaca59a94060720c05eb184864818bfb9f","schema_version":"1.0","event_id":"sha256:86661894a182dad40073c4e600d5b5aaca59a94060720c05eb184864818bfb9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/bundle.json","state_url":"https://pith.science/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/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":"2026-06-09T10:24:19Z","links":{"resolver":"https://pith.science/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY","bundle":"https://pith.science/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/bundle.json","state":"https://pith.science/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UG7T7RHI2K5BXFNSZZ4GL6LVQY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UG7T7RHI2K5BXFNSZZ4GL6LVQY","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":"907a246e9e4df040d21656a7b70b647a77666de356e200d3c734df8e322785a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-03T21:31:31Z","title_canon_sha256":"5e73cccd2ecec8d445a50ae0c790b9e941a03908f4dff6f1a5b6b69a338693d6"},"schema_version":"1.0","source":{"id":"1610.00761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00761","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00761v1","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00761","created_at":"2026-05-18T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"UG7T7RHI2K5B","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UG7T7RHI2K5BXFNS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UG7T7RHI","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:86661894a182dad40073c4e600d5b5aaca59a94060720c05eb184864818bfb9f","target":"graph","created_at":"2026-05-18T01:03:13Z","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":"In this article a comparative study of the renormalization of entanglement in one, two and three dimensional space and its relation with quantum phase transition (QPT) near the critical point is presented by implementing the Quantum Renormalization Group (QRG) technique. Adopting the Kadanoff's block approach, numerical results for the concurrence are obtained for the spin -1/2 $XY$ model in all the spatial dimensions. The results show similar qualitative behavior as we move from the lower to the higher dimensions in space but the number of iterations reduces for achieving the QPT in the therm","authors_text":"Asif Ilyas, Khalid Khan, M. Usman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-03T21:31:31Z","title":"Spatial dependence of entanglement renormalization in $XY$ model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00761","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:e0e018385e5d45b93578180bcb866e95038cf0e60b9f0417798046fb4ab85121","target":"record","created_at":"2026-05-18T01:03:13Z","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":"907a246e9e4df040d21656a7b70b647a77666de356e200d3c734df8e322785a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-03T21:31:31Z","title_canon_sha256":"5e73cccd2ecec8d445a50ae0c790b9e941a03908f4dff6f1a5b6b69a338693d6"},"schema_version":"1.0","source":{"id":"1610.00761","kind":"arxiv","version":1}},"canonical_sha256":"a1bf3fc4e8d2ba1b95b2ce7865f975861a94c8517ab8cb37a8d125b34996688e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1bf3fc4e8d2ba1b95b2ce7865f975861a94c8517ab8cb37a8d125b34996688e","first_computed_at":"2026-05-18T01:03:13.206760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:13.206760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VwidXk7HnApZI5j8DasSE1UliYFjKLU0I/Am/VohdEFeLujANLRUC+/BjxXSaYz80DXmbVeWeOor7LHEBlFhAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:13.207196Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0e018385e5d45b93578180bcb866e95038cf0e60b9f0417798046fb4ab85121","sha256:86661894a182dad40073c4e600d5b5aaca59a94060720c05eb184864818bfb9f"],"state_sha256":"461b24657e4885d5730e19057f283f0977beacc9cf4e3478a5df282334370dd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y1Ie/EfYkhRAWTKFibpucLPVp82ibhIdJZDS3SASGn+Li0kc0jZC8nI67AqbCRIM32Dz4bQKZNxmX1SXnLU8Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:24:19.975746Z","bundle_sha256":"d6d1119842203f9b490f4e845a509cdf6968475a8b8e2c7144cde3ece5ae7817"}}