{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IUA2EKHXKEXDSCFAGY4NWR6DEH","short_pith_number":"pith:IUA2EKHX","schema_version":"1.0","canonical_sha256":"4501a228f7512e3908a03638db47c321ffe765837c662be1cf639d71483936ff","source":{"kind":"arxiv","id":"1809.07120","version":6},"attestation_state":"computed","paper":{"title":"From \"Weak\" to \"Strong\" Hole Confinement in a Mott Insulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andrzej M. Oles, Krzysztof Bieniasz, Krzysztof Wohlfeld, Piotr Wrzosek","submitted_at":"2018-09-19T10:55:54Z","abstract_excerpt":"We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is \"weakly\" confined in a potential well and the magnon coefficients decay exponentially in the absence of a string potential. This behavior is in sharp contrast to the 2D square plane where the hole is \"strongly\" confined by a string potential and the magnon coefficients decay superexponentially. The latter is identified here to be a fingerprint of the strings in doped a"},"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":"1809.07120","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-09-19T10:55:54Z","cross_cats_sorted":[],"title_canon_sha256":"876007adff03746ee61b8993669a2b93a253a538c69878820a24866a8d1b59cf","abstract_canon_sha256":"3b77f4a5654dcad3a9d6d489ef80ac47e7125e58029b6d9ba3b0f24bbd759018"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:22:22.737884Z","signature_b64":"sQ0Rhxmcesugel0ZrR/jrahU4HeRPp5vDFgG6pYvC15U5uaUOPd+ameyOx0a/2CcuTXEbiXmKgTlEEG3A7niDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4501a228f7512e3908a03638db47c321ffe765837c662be1cf639d71483936ff","last_reissued_at":"2026-07-05T00:22:22.737399Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:22:22.737399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From \"Weak\" to \"Strong\" Hole Confinement in a Mott Insulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andrzej M. Oles, Krzysztof Bieniasz, Krzysztof Wohlfeld, Piotr Wrzosek","submitted_at":"2018-09-19T10:55:54Z","abstract_excerpt":"We study the problem of a single hole in an Ising antiferromagnet and, using the magnon expansion and analytical methods, determine the expansion coefficients of its wave function in the magnon basis. In the 1D case, the hole is \"weakly\" confined in a potential well and the magnon coefficients decay exponentially in the absence of a string potential. This behavior is in sharp contrast to the 2D square plane where the hole is \"strongly\" confined by a string potential and the magnon coefficients decay superexponentially. The latter is identified here to be a fingerprint of the strings in doped a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07120","kind":"arxiv","version":6},"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/1809.07120/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":"1809.07120","created_at":"2026-07-05T00:22:22.737459+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.07120v6","created_at":"2026-07-05T00:22:22.737459+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07120","created_at":"2026-07-05T00:22:22.737459+00:00"},{"alias_kind":"pith_short_12","alias_value":"IUA2EKHXKEXD","created_at":"2026-07-05T00:22:22.737459+00:00"},{"alias_kind":"pith_short_16","alias_value":"IUA2EKHXKEXDSCFA","created_at":"2026-07-05T00:22:22.737459+00:00"},{"alias_kind":"pith_short_8","alias_value":"IUA2EKHX","created_at":"2026-07-05T00:22:22.737459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.02232","citing_title":"Spectral properties of spin-orbital polarons as a fingerprint of orbital order","ref_index":51,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH","json":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH.json","graph_json":"https://pith.science/api/pith-number/IUA2EKHXKEXDSCFAGY4NWR6DEH/graph.json","events_json":"https://pith.science/api/pith-number/IUA2EKHXKEXDSCFAGY4NWR6DEH/events.json","paper":"https://pith.science/paper/IUA2EKHX"},"agent_actions":{"view_html":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH","download_json":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH.json","view_paper":"https://pith.science/paper/IUA2EKHX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.07120&json=true","fetch_graph":"https://pith.science/api/pith-number/IUA2EKHXKEXDSCFAGY4NWR6DEH/graph.json","fetch_events":"https://pith.science/api/pith-number/IUA2EKHXKEXDSCFAGY4NWR6DEH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH/action/storage_attestation","attest_author":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH/action/author_attestation","sign_citation":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH/action/citation_signature","submit_replication":"https://pith.science/pith/IUA2EKHXKEXDSCFAGY4NWR6DEH/action/replication_record"}},"created_at":"2026-07-05T00:22:22.737459+00:00","updated_at":"2026-07-05T00:22:22.737459+00:00"}