{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RRU2XSRRE5OQQGWXIIMZDDC5T6","short_pith_number":"pith:RRU2XSRR","canonical_record":{"source":{"id":"1207.6975","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-30T15:48:41Z","cross_cats_sorted":[],"title_canon_sha256":"17835a2a9428e0c2ec5fc389cc9fabb725bd5b47463eb3775481722769651778","abstract_canon_sha256":"dd50ba1e8b006d988285b2319231781d3cdd97dfd2ca2dacbc092cc12fabd51b"},"schema_version":"1.0"},"canonical_sha256":"8c69abca31275d081ad74219918c5d9fb122e656cb0f682a11a85f4e3ec66793","source":{"kind":"arxiv","id":"1207.6975","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6975","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6975v2","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6975","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"RRU2XSRRE5OQ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RRU2XSRRE5OQQGWX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RRU2XSRR","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RRU2XSRRE5OQQGWXIIMZDDC5T6","target":"record","payload":{"canonical_record":{"source":{"id":"1207.6975","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-30T15:48:41Z","cross_cats_sorted":[],"title_canon_sha256":"17835a2a9428e0c2ec5fc389cc9fabb725bd5b47463eb3775481722769651778","abstract_canon_sha256":"dd50ba1e8b006d988285b2319231781d3cdd97dfd2ca2dacbc092cc12fabd51b"},"schema_version":"1.0"},"canonical_sha256":"8c69abca31275d081ad74219918c5d9fb122e656cb0f682a11a85f4e3ec66793","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:52.610288Z","signature_b64":"xpCC3fqf0ikAjYEUUvLmmf9aorc3m219PmlRKya4Dso14ARHhtUKdZ6cdBC+KqaHa6Q73r3Atm80sIf2rZuSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c69abca31275d081ad74219918c5d9fb122e656cb0f682a11a85f4e3ec66793","last_reissued_at":"2026-05-18T03:37:52.609649Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:52.609649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.6975","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ADOyeU8XYLPb7l5Dy4l3EiV1WCJS+/eRBrRKH1wpsgoXKVPdJywh1a/d6GpwrHMwI+95u2I7dq8yyrCeHthCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:09:59.576260Z"},"content_sha256":"13c77bcc3ff2f35104b2d1043aa07f4c9f9ae2fdc70d3be8acbd47d616c7cb05","schema_version":"1.0","event_id":"sha256:13c77bcc3ff2f35104b2d1043aa07f4c9f9ae2fdc70d3be8acbd47d616c7cb05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RRU2XSRRE5OQQGWXIIMZDDC5T6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wigner crystal versus Fermionization for one-dimensional Hubbard models with and without long-range interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Gao Xianlong, Linhu Li, Shu Chen, Zhihao Xu","submitted_at":"2012-07-30T15:48:41Z","abstract_excerpt":"The ground state properties of Hubbard model with or without long-range interactions in the regime with strongly repulsive on-site interaction are investigated by means of the exact diagonalization method. We show that the appearance of $N$-crests in the density profile of a trapped N-fermion system is a natural result of \"fermionization\" between antiparallel-spin fermions in the strongly repulsive limit and can not be taken as the only signature of Wigner crystal phase, as the static structure factor does not show any signature of crystallization. On the contrary, both the density distributio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6975","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bNmGeieIwtarw5rguGgzk3BmrUdNAFQ1OsAnyfVYzYVxf/1DnkaoQjg13tHqMQR2BS9H4y8sPGxJN43SuwbXAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:09:59.576910Z"},"content_sha256":"0c2cb7df757bac1e6a0d8e142be90f0fd87bca705b635b6f9fc56adb9ea34cba","schema_version":"1.0","event_id":"sha256:0c2cb7df757bac1e6a0d8e142be90f0fd87bca705b635b6f9fc56adb9ea34cba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/bundle.json","state_url":"https://pith.science/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T16:09:59Z","links":{"resolver":"https://pith.science/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6","bundle":"https://pith.science/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/bundle.json","state":"https://pith.science/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RRU2XSRRE5OQQGWXIIMZDDC5T6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RRU2XSRRE5OQQGWXIIMZDDC5T6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dd50ba1e8b006d988285b2319231781d3cdd97dfd2ca2dacbc092cc12fabd51b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-30T15:48:41Z","title_canon_sha256":"17835a2a9428e0c2ec5fc389cc9fabb725bd5b47463eb3775481722769651778"},"schema_version":"1.0","source":{"id":"1207.6975","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6975","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6975v2","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6975","created_at":"2026-05-18T03:37:52Z"},{"alias_kind":"pith_short_12","alias_value":"RRU2XSRRE5OQ","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RRU2XSRRE5OQQGWX","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RRU2XSRR","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:0c2cb7df757bac1e6a0d8e142be90f0fd87bca705b635b6f9fc56adb9ea34cba","target":"graph","created_at":"2026-05-18T03:37:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The ground state properties of Hubbard model with or without long-range interactions in the regime with strongly repulsive on-site interaction are investigated by means of the exact diagonalization method. We show that the appearance of $N$-crests in the density profile of a trapped N-fermion system is a natural result of \"fermionization\" between antiparallel-spin fermions in the strongly repulsive limit and can not be taken as the only signature of Wigner crystal phase, as the static structure factor does not show any signature of crystallization. On the contrary, both the density distributio","authors_text":"Gao Xianlong, Linhu Li, Shu Chen, Zhihao Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-30T15:48:41Z","title":"Wigner crystal versus Fermionization for one-dimensional Hubbard models with and without long-range interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6975","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:13c77bcc3ff2f35104b2d1043aa07f4c9f9ae2fdc70d3be8acbd47d616c7cb05","target":"record","created_at":"2026-05-18T03:37:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dd50ba1e8b006d988285b2319231781d3cdd97dfd2ca2dacbc092cc12fabd51b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-30T15:48:41Z","title_canon_sha256":"17835a2a9428e0c2ec5fc389cc9fabb725bd5b47463eb3775481722769651778"},"schema_version":"1.0","source":{"id":"1207.6975","kind":"arxiv","version":2}},"canonical_sha256":"8c69abca31275d081ad74219918c5d9fb122e656cb0f682a11a85f4e3ec66793","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c69abca31275d081ad74219918c5d9fb122e656cb0f682a11a85f4e3ec66793","first_computed_at":"2026-05-18T03:37:52.609649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:52.609649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xpCC3fqf0ikAjYEUUvLmmf9aorc3m219PmlRKya4Dso14ARHhtUKdZ6cdBC+KqaHa6Q73r3Atm80sIf2rZuSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:52.610288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6975","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13c77bcc3ff2f35104b2d1043aa07f4c9f9ae2fdc70d3be8acbd47d616c7cb05","sha256:0c2cb7df757bac1e6a0d8e142be90f0fd87bca705b635b6f9fc56adb9ea34cba"],"state_sha256":"3277ac77aa5a94be2ed88af26db6e75aea1e81713a9289b34b77ee8cfd42b1b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fttaCBdI+xDsaJpbM49VpeKrcoH//k8AaTPcnAiVBhiUpww3UT4vKj/0C7yuCRGiQQwjN3CRsPTSW6FqunieAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:09:59.580617Z","bundle_sha256":"adbfb3c8cb27fbf7da2aaa250b98f59a0c8d804556abe5515d89083e7e3407b2"}}