{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SCKC5M6DSLCDFSSYSLW6MWHUCU","short_pith_number":"pith:SCKC5M6D","schema_version":"1.0","canonical_sha256":"90942eb3c392c432ca5892ede658f4151540d2aff63dfc41d79ac34b18fd3362","source":{"kind":"arxiv","id":"1412.6634","version":1},"attestation_state":"computed","paper":{"title":"Multiply Degenerate Exceptional Points and Quantum Phase Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Denis I. Borisov, Frantisek Ruzicka, Miloslav Znojil","submitted_at":"2014-12-20T08:31:12Z","abstract_excerpt":"The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such a property is proposed and studied. All of them exhibit, at a real exceptional-point time $t=0$, the Jordan-block spectral degeneracy structure of some of their observables sampled by Hamiltonian $H(t)$ and site-position $Q(t)$. The passes through the critical instant $t=0$ are interpreted as schematic simulations of non-equivalent versions of the Big-Bang-"},"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":"1412.6634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-12-20T08:31:12Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"03145b89c0250f2cc97eca1dbc285ac42aa980d3594ba56a19d70fcf97f84a30","abstract_canon_sha256":"946a6d429167f98c8fe202f78e002223e0ad8b3270939248dd2cbde8bcc54279"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:46.421694Z","signature_b64":"Uc5jEqF7F4lryViFN52qznRMnC6YBc6+0xMp1I8peBaXkcF8UpFveBng9UTzhH/F9kFta2nzbngRckvmzF2WCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90942eb3c392c432ca5892ede658f4151540d2aff63dfc41d79ac34b18fd3362","last_reissued_at":"2026-05-18T01:27:46.421054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:46.421054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiply Degenerate Exceptional Points and Quantum Phase Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Denis I. Borisov, Frantisek Ruzicka, Miloslav Znojil","submitted_at":"2014-12-20T08:31:12Z","abstract_excerpt":"The realization of a genuine phase transition in quantum mechanics requires that at least one of the Kato's exceptional-point parameters becomes real. A new family of finite-dimensional and time-parametrized quantum-lattice models with such a property is proposed and studied. All of them exhibit, at a real exceptional-point time $t=0$, the Jordan-block spectral degeneracy structure of some of their observables sampled by Hamiltonian $H(t)$ and site-position $Q(t)$. The passes through the critical instant $t=0$ are interpreted as schematic simulations of non-equivalent versions of the Big-Bang-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6634","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.6634","created_at":"2026-05-18T01:27:46.421147+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.6634v1","created_at":"2026-05-18T01:27:46.421147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6634","created_at":"2026-05-18T01:27:46.421147+00:00"},{"alias_kind":"pith_short_12","alias_value":"SCKC5M6DSLCD","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SCKC5M6DSLCDFSSY","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SCKC5M6D","created_at":"2026-05-18T12:28:49.207871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.27834","citing_title":"Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU","json":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU.json","graph_json":"https://pith.science/api/pith-number/SCKC5M6DSLCDFSSYSLW6MWHUCU/graph.json","events_json":"https://pith.science/api/pith-number/SCKC5M6DSLCDFSSYSLW6MWHUCU/events.json","paper":"https://pith.science/paper/SCKC5M6D"},"agent_actions":{"view_html":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU","download_json":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU.json","view_paper":"https://pith.science/paper/SCKC5M6D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.6634&json=true","fetch_graph":"https://pith.science/api/pith-number/SCKC5M6DSLCDFSSYSLW6MWHUCU/graph.json","fetch_events":"https://pith.science/api/pith-number/SCKC5M6DSLCDFSSYSLW6MWHUCU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU/action/storage_attestation","attest_author":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU/action/author_attestation","sign_citation":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU/action/citation_signature","submit_replication":"https://pith.science/pith/SCKC5M6DSLCDFSSYSLW6MWHUCU/action/replication_record"}},"created_at":"2026-05-18T01:27:46.421147+00:00","updated_at":"2026-05-18T01:27:46.421147+00:00"}