{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6KMDFDVVZQ2A3GORVTBS3M7WQ2","short_pith_number":"pith:6KMDFDVV","schema_version":"1.0","canonical_sha256":"f298328eb5cc340d99d1acc32db3f686a14c424cece3bf7044818a51f6f38012","source":{"kind":"arxiv","id":"1809.05293","version":2},"attestation_state":"computed","paper":{"title":"Boundaries of boundaries: a systematic approach to lattice models with solvable boundary states of arbitrary codimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Emil J. Bergholtz, Flore K. Kunst, Guido van Miert","submitted_at":"2018-09-14T08:02:26Z","abstract_excerpt":"We present a generic and systematic approach for constructing D-dimensional lattice models with exactly solvable d-dimensional boundary states localized to corners, edges, hinges and surfaces. These solvable models represent a class of \"sweet spots\" in the space of possible tight-binding models---the exact solutions remain valid for any tight-binding parameters as long as they obey simple locality conditions that are manifest in the underlying lattice structure. Consequently, our models capture the physics of both (higher-order) topological and non-topological phases as well as the transitions"},"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":"1809.05293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-09-14T08:02:26Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"74c0ccaf1883582c1d3ad9f0a6abefb35b5a18dbb83c3079c1e0637ba663833a","abstract_canon_sha256":"4326da1b9b2a248cc92cccee26d779c11da42e60c9cb2fd3ea0e6f0e1bd6eef5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:42.020189Z","signature_b64":"P8fUQN1W9DhjIe1JdK0OZuNDdeS6ZP3buQG7X6pRH6KXBxSo2DSYSSGKUh2h9ywKk3BLxcLrXdJ7wPwiZJTwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f298328eb5cc340d99d1acc32db3f686a14c424cece3bf7044818a51f6f38012","last_reissued_at":"2026-05-17T23:53:42.019726Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:42.019726Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundaries of boundaries: a systematic approach to lattice models with solvable boundary states of arbitrary codimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Emil J. Bergholtz, Flore K. Kunst, Guido van Miert","submitted_at":"2018-09-14T08:02:26Z","abstract_excerpt":"We present a generic and systematic approach for constructing D-dimensional lattice models with exactly solvable d-dimensional boundary states localized to corners, edges, hinges and surfaces. These solvable models represent a class of \"sweet spots\" in the space of possible tight-binding models---the exact solutions remain valid for any tight-binding parameters as long as they obey simple locality conditions that are manifest in the underlying lattice structure. Consequently, our models capture the physics of both (higher-order) topological and non-topological phases as well as the transitions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05293","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":"1809.05293","created_at":"2026-05-17T23:53:42.019801+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.05293v2","created_at":"2026-05-17T23:53:42.019801+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05293","created_at":"2026-05-17T23:53:42.019801+00:00"},{"alias_kind":"pith_short_12","alias_value":"6KMDFDVVZQ2A","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"6KMDFDVVZQ2A3GOR","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"6KMDFDVV","created_at":"2026-05-18T12:32:08.215937+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/6KMDFDVVZQ2A3GORVTBS3M7WQ2","json":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2.json","graph_json":"https://pith.science/api/pith-number/6KMDFDVVZQ2A3GORVTBS3M7WQ2/graph.json","events_json":"https://pith.science/api/pith-number/6KMDFDVVZQ2A3GORVTBS3M7WQ2/events.json","paper":"https://pith.science/paper/6KMDFDVV"},"agent_actions":{"view_html":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2","download_json":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2.json","view_paper":"https://pith.science/paper/6KMDFDVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.05293&json=true","fetch_graph":"https://pith.science/api/pith-number/6KMDFDVVZQ2A3GORVTBS3M7WQ2/graph.json","fetch_events":"https://pith.science/api/pith-number/6KMDFDVVZQ2A3GORVTBS3M7WQ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2/action/storage_attestation","attest_author":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2/action/author_attestation","sign_citation":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2/action/citation_signature","submit_replication":"https://pith.science/pith/6KMDFDVVZQ2A3GORVTBS3M7WQ2/action/replication_record"}},"created_at":"2026-05-17T23:53:42.019801+00:00","updated_at":"2026-05-17T23:53:42.019801+00:00"}