{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:V6YLUCMTVNTLCEE7XW3IVL2ZOA","short_pith_number":"pith:V6YLUCMT","schema_version":"1.0","canonical_sha256":"afb0ba0993ab66b1109fbdb68aaf597023cf94472bf6f77922011d461d328e85","source":{"kind":"arxiv","id":"1509.01888","version":2},"attestation_state":"computed","paper":{"title":"Ground-state properties of anyons in a one-dimensional lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.quant-gas","authors_text":"Axel Pelster, Guixin Tang, Sebastian Eggert","submitted_at":"2015-09-07T02:59:24Z","abstract_excerpt":"Using the Anyon-Hubbard Hamiltonian, we analyze the ground-state properties of anyons in a one-dimensional lattice. To this end we map the hopping dynamics of correlated anyons to an occupation-dependent hopping Bose-Hubbard model using the fractional Jordan-Wigner transformation. In particular, we calculate the quasi-momentum distribution of anyons, which interpolates between Bose-Einstein and Fermi-Dirac statistics. Analytically, we apply a modified Gutzwiller mean-field approach, which goes beyond a classical one by including the influence of the fractional phase of anyons within the many-b"},"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":"1509.01888","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-09-07T02:59:24Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"1f01292297bdc5d631733fd15774f92cb89d2cfe2170e7507da946491249d166","abstract_canon_sha256":"530368e441b2f1ef1df8985b4364d24a69fb8dad978c3ec12963617a93272bd6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:16.164285Z","signature_b64":"fk1cxE0CfaxV8/s8gd8pr1PEKxf06wBXT3gU9b92xH6wf0cpZtGQY7Yz/mdqNhjr5tASls7Lpc6UXY2IQRW+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afb0ba0993ab66b1109fbdb68aaf597023cf94472bf6f77922011d461d328e85","last_reissued_at":"2026-05-18T01:23:16.163598Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:16.163598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground-state properties of anyons in a one-dimensional lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.quant-gas","authors_text":"Axel Pelster, Guixin Tang, Sebastian Eggert","submitted_at":"2015-09-07T02:59:24Z","abstract_excerpt":"Using the Anyon-Hubbard Hamiltonian, we analyze the ground-state properties of anyons in a one-dimensional lattice. To this end we map the hopping dynamics of correlated anyons to an occupation-dependent hopping Bose-Hubbard model using the fractional Jordan-Wigner transformation. In particular, we calculate the quasi-momentum distribution of anyons, which interpolates between Bose-Einstein and Fermi-Dirac statistics. Analytically, we apply a modified Gutzwiller mean-field approach, which goes beyond a classical one by including the influence of the fractional phase of anyons within the many-b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01888","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":"1509.01888","created_at":"2026-05-18T01:23:16.163710+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.01888v2","created_at":"2026-05-18T01:23:16.163710+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01888","created_at":"2026-05-18T01:23:16.163710+00:00"},{"alias_kind":"pith_short_12","alias_value":"V6YLUCMTVNTL","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"V6YLUCMTVNTLCEE7","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"V6YLUCMT","created_at":"2026-05-18T12:29:44.643036+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/V6YLUCMTVNTLCEE7XW3IVL2ZOA","json":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA.json","graph_json":"https://pith.science/api/pith-number/V6YLUCMTVNTLCEE7XW3IVL2ZOA/graph.json","events_json":"https://pith.science/api/pith-number/V6YLUCMTVNTLCEE7XW3IVL2ZOA/events.json","paper":"https://pith.science/paper/V6YLUCMT"},"agent_actions":{"view_html":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA","download_json":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA.json","view_paper":"https://pith.science/paper/V6YLUCMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.01888&json=true","fetch_graph":"https://pith.science/api/pith-number/V6YLUCMTVNTLCEE7XW3IVL2ZOA/graph.json","fetch_events":"https://pith.science/api/pith-number/V6YLUCMTVNTLCEE7XW3IVL2ZOA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA/action/storage_attestation","attest_author":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA/action/author_attestation","sign_citation":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA/action/citation_signature","submit_replication":"https://pith.science/pith/V6YLUCMTVNTLCEE7XW3IVL2ZOA/action/replication_record"}},"created_at":"2026-05-18T01:23:16.163710+00:00","updated_at":"2026-05-18T01:23:16.163710+00:00"}