{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:WHML7E7LIFLQX5IQ3ROPV2H6S7","short_pith_number":"pith:WHML7E7L","schema_version":"1.0","canonical_sha256":"b1d8bf93eb41570bf510dc5cfae8fe97cf8e8f771bbc979a2b5888b1afcc8727","source":{"kind":"arxiv","id":"2009.03541","version":2},"attestation_state":"computed","paper":{"title":"Unconventional scaling at non-Hermitian critical points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. H. Lee, C. Morais Smith, R. Arouca","submitted_at":"2020-09-08T06:45:26Z","abstract_excerpt":"Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or temporal divergences render the thermodynamic limit ill-defined. In this work, we show that a thermodynamic grand potential can still be defined in pseudo-Hermitian Hamiltonians, and can be used to characterize aspects of criticality unique to non-Hermitian systems. Using the non-Hermitian Su-Schrieffer-Heeger (SSH) model as a paradigmatic example, we demon"},"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":"2009.03541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2020-09-08T06:45:26Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"0fcf354682869f7abd74c4dcaa29fa781579374b54862e045777f3a3630d5891","abstract_canon_sha256":"a6492093e3b2e9795b148568e768ec40458f07082ab2704d79f4a8c1da3d07d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:04:43.395186Z","signature_b64":"O4nNUe8miCxQrfdZnuOkzEbh2tq/ygucOqYv1SmvbnJrlWYmM5k30geBhkfGG/QfhUJE2IPxdy1riX7RwgfQCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1d8bf93eb41570bf510dc5cfae8fe97cf8e8f771bbc979a2b5888b1afcc8727","last_reissued_at":"2026-07-05T02:04:43.394709Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:04:43.394709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unconventional scaling at non-Hermitian critical points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.stat-mech","authors_text":"C. H. Lee, C. Morais Smith, R. Arouca","submitted_at":"2020-09-08T06:45:26Z","abstract_excerpt":"Critical phase transitions contain a variety of deep and universal physics, and are intimately tied to thermodynamic quantities through scaling relations. Yet, these notions are challenged in the context of non-Hermiticity, where spatial or temporal divergences render the thermodynamic limit ill-defined. In this work, we show that a thermodynamic grand potential can still be defined in pseudo-Hermitian Hamiltonians, and can be used to characterize aspects of criticality unique to non-Hermitian systems. Using the non-Hermitian Su-Schrieffer-Heeger (SSH) model as a paradigmatic example, we demon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.03541","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.03541/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2009.03541","created_at":"2026-07-05T02:04:43.394774+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.03541v2","created_at":"2026-07-05T02:04:43.394774+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.03541","created_at":"2026-07-05T02:04:43.394774+00:00"},{"alias_kind":"pith_short_12","alias_value":"WHML7E7LIFLQ","created_at":"2026-07-05T02:04:43.394774+00:00"},{"alias_kind":"pith_short_16","alias_value":"WHML7E7LIFLQX5IQ","created_at":"2026-07-05T02:04:43.394774+00:00"},{"alias_kind":"pith_short_8","alias_value":"WHML7E7L","created_at":"2026-07-05T02:04:43.394774+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/WHML7E7LIFLQX5IQ3ROPV2H6S7","json":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7.json","graph_json":"https://pith.science/api/pith-number/WHML7E7LIFLQX5IQ3ROPV2H6S7/graph.json","events_json":"https://pith.science/api/pith-number/WHML7E7LIFLQX5IQ3ROPV2H6S7/events.json","paper":"https://pith.science/paper/WHML7E7L"},"agent_actions":{"view_html":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7","download_json":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7.json","view_paper":"https://pith.science/paper/WHML7E7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.03541&json=true","fetch_graph":"https://pith.science/api/pith-number/WHML7E7LIFLQX5IQ3ROPV2H6S7/graph.json","fetch_events":"https://pith.science/api/pith-number/WHML7E7LIFLQX5IQ3ROPV2H6S7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7/action/storage_attestation","attest_author":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7/action/author_attestation","sign_citation":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7/action/citation_signature","submit_replication":"https://pith.science/pith/WHML7E7LIFLQX5IQ3ROPV2H6S7/action/replication_record"}},"created_at":"2026-07-05T02:04:43.394774+00:00","updated_at":"2026-07-05T02:04:43.394774+00:00"}