{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:TKTXSWWZGK4AQVHR2DZPNRM3JK","short_pith_number":"pith:TKTXSWWZ","schema_version":"1.0","canonical_sha256":"9aa7795ad932b80854f1d0f2f6c59b4a968ef2e5681eadf056318ea7a00970e9","source":{"kind":"arxiv","id":"1501.05416","version":2},"attestation_state":"computed","paper":{"title":"Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus","submitted_at":"2015-01-22T08:06:37Z","abstract_excerpt":"The Shannon and the Renyi entropies of the ground state wavefunction in the pure and in the random quantum Ising chain are studied via the self-dual Fernandez-Pacheco real-space renormalization procedure. In particular, we analyze the critical behavior of the leading extensive term at the quantum phase transition : the derivative with respect to the control parameter is found to be logarithmically divergent in the pure case, and to display a cusp singularity in the random case. This cusp singularity for the random case is also derived via the Strong Disorder Renormalization approach."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.05416","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2015-01-22T08:06:37Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"8a34e1675c553a9163e9eb3c4ec2a3af9ada28810a34086a34904f33990240a7","abstract_canon_sha256":"24d74b1e22a9015cdcef6be2696722bb0774564f01488c6ea841e59289647a0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:13.377412Z","signature_b64":"CUf+76C50Y9wS4+vuzqio7mhaGke2t8BpY6SL62QSG91SkuMCFgRDAh3SyOq7QBTHznIrkXO+FIpWpDMvte3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9aa7795ad932b80854f1d0f2f6c59b4a968ef2e5681eadf056318ea7a00970e9","last_reissued_at":"2026-05-18T02:18:13.377022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:13.377022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Cecile Monthus","submitted_at":"2015-01-22T08:06:37Z","abstract_excerpt":"The Shannon and the Renyi entropies of the ground state wavefunction in the pure and in the random quantum Ising chain are studied via the self-dual Fernandez-Pacheco real-space renormalization procedure. In particular, we analyze the critical behavior of the leading extensive term at the quantum phase transition : the derivative with respect to the control parameter is found to be logarithmically divergent in the pure case, and to display a cusp singularity in the random case. This cusp singularity for the random case is also derived via the Strong Disorder Renormalization approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05416","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.05416","created_at":"2026-05-18T02:18:13.377073+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.05416v2","created_at":"2026-05-18T02:18:13.377073+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05416","created_at":"2026-05-18T02:18:13.377073+00:00"},{"alias_kind":"pith_short_12","alias_value":"TKTXSWWZGK4A","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"TKTXSWWZGK4AQVHR","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"TKTXSWWZ","created_at":"2026-05-18T12:29:42.218222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK","json":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK.json","graph_json":"https://pith.science/api/pith-number/TKTXSWWZGK4AQVHR2DZPNRM3JK/graph.json","events_json":"https://pith.science/api/pith-number/TKTXSWWZGK4AQVHR2DZPNRM3JK/events.json","paper":"https://pith.science/paper/TKTXSWWZ"},"agent_actions":{"view_html":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK","download_json":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK.json","view_paper":"https://pith.science/paper/TKTXSWWZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.05416&json=true","fetch_graph":"https://pith.science/api/pith-number/TKTXSWWZGK4AQVHR2DZPNRM3JK/graph.json","fetch_events":"https://pith.science/api/pith-number/TKTXSWWZGK4AQVHR2DZPNRM3JK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK/action/storage_attestation","attest_author":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK/action/author_attestation","sign_citation":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK/action/citation_signature","submit_replication":"https://pith.science/pith/TKTXSWWZGK4AQVHR2DZPNRM3JK/action/replication_record"}},"created_at":"2026-05-18T02:18:13.377073+00:00","updated_at":"2026-05-18T02:18:13.377073+00:00"}