{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:HLV3TAD24YK43JXH7KRIHDYKMB","short_pith_number":"pith:HLV3TAD2","schema_version":"1.0","canonical_sha256":"3aebb9807ae615cda6e7faa2838f0a606d129e280b180ffca59e5e1b3f9e7eb8","source":{"kind":"arxiv","id":"2312.13733","version":1},"attestation_state":"computed","paper":{"title":"Hierarchical Topological States in Thermal Diffusive Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Bao Chen, Feng Liu, Kaiyun Pang, Ru Zheng","submitted_at":"2023-12-21T10:57:16Z","abstract_excerpt":"The integration of topological concepts into electronic energy band theory has been a transformative development in condensed matter physics. Since then, this paradigm has broadened its reach, extending to a variety of physical systems, including open ones. In this study, we employ analogues of the generalized $n$-dimensional Su-Schrieffer-Heeger model, a cornerstone in understanding topological insulators and higher-order topological states, to unveil a dimensional hierarchy of topological states within thermal diffusive networks. Unlike their electronic counterparts, the topological states i"},"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":"2312.13733","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2023-12-21T10:57:16Z","cross_cats_sorted":[],"title_canon_sha256":"f027d1ecf5a63f81e710349be1880ba7529070c35c8ec584540df61963ab8db7","abstract_canon_sha256":"9476c06347bfd36ae1811a8202fe643084857ec3ab2eee9665892519bcfdbb7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:49:35.768917Z","signature_b64":"WRuHANJrDrc27DvnRVT7j+b3DWfCAfyQunuvajfrU1xY7cdFlqpglDbkJ6f2Ma3Wnl3xlOcALFSXAuhV2YzECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3aebb9807ae615cda6e7faa2838f0a606d129e280b180ffca59e5e1b3f9e7eb8","last_reissued_at":"2026-07-05T07:49:35.768355Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:49:35.768355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hierarchical Topological States in Thermal Diffusive Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Bao Chen, Feng Liu, Kaiyun Pang, Ru Zheng","submitted_at":"2023-12-21T10:57:16Z","abstract_excerpt":"The integration of topological concepts into electronic energy band theory has been a transformative development in condensed matter physics. Since then, this paradigm has broadened its reach, extending to a variety of physical systems, including open ones. In this study, we employ analogues of the generalized $n$-dimensional Su-Schrieffer-Heeger model, a cornerstone in understanding topological insulators and higher-order topological states, to unveil a dimensional hierarchy of topological states within thermal diffusive networks. Unlike their electronic counterparts, the topological states i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.13733","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.13733/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":"2312.13733","created_at":"2026-07-05T07:49:35.768413+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.13733v1","created_at":"2026-07-05T07:49:35.768413+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.13733","created_at":"2026-07-05T07:49:35.768413+00:00"},{"alias_kind":"pith_short_12","alias_value":"HLV3TAD24YK4","created_at":"2026-07-05T07:49:35.768413+00:00"},{"alias_kind":"pith_short_16","alias_value":"HLV3TAD24YK43JXH","created_at":"2026-07-05T07:49:35.768413+00:00"},{"alias_kind":"pith_short_8","alias_value":"HLV3TAD2","created_at":"2026-07-05T07:49:35.768413+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/HLV3TAD24YK43JXH7KRIHDYKMB","json":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB.json","graph_json":"https://pith.science/api/pith-number/HLV3TAD24YK43JXH7KRIHDYKMB/graph.json","events_json":"https://pith.science/api/pith-number/HLV3TAD24YK43JXH7KRIHDYKMB/events.json","paper":"https://pith.science/paper/HLV3TAD2"},"agent_actions":{"view_html":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB","download_json":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB.json","view_paper":"https://pith.science/paper/HLV3TAD2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.13733&json=true","fetch_graph":"https://pith.science/api/pith-number/HLV3TAD24YK43JXH7KRIHDYKMB/graph.json","fetch_events":"https://pith.science/api/pith-number/HLV3TAD24YK43JXH7KRIHDYKMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB/action/storage_attestation","attest_author":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB/action/author_attestation","sign_citation":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB/action/citation_signature","submit_replication":"https://pith.science/pith/HLV3TAD24YK43JXH7KRIHDYKMB/action/replication_record"}},"created_at":"2026-07-05T07:49:35.768413+00:00","updated_at":"2026-07-05T07:49:35.768413+00:00"}