{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MX2W67ZR4G7LZCKTYL6YTDOAP5","short_pith_number":"pith:MX2W67ZR","canonical_record":{"source":{"id":"1003.0506","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-02T05:59:45Z","cross_cats_sorted":[],"title_canon_sha256":"853bb9e59f717bc678cfb29c9c3789bc0921d8443e90a7958bd88c936b138e29","abstract_canon_sha256":"89dae09b6d5d8c23d8f8835eefd0897c4a3ba810d1c0dc3e8c0923848c8095c5"},"schema_version":"1.0"},"canonical_sha256":"65f56f7f31e1bebc8953c2fd898dc07f71f8143bdfc46712e589cfd8a8847663","source":{"kind":"arxiv","id":"1003.0506","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0506","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0506v1","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0506","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"MX2W67ZR4G7L","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MX2W67ZR4G7LZCKT","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MX2W67ZR","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MX2W67ZR4G7LZCKTYL6YTDOAP5","target":"record","payload":{"canonical_record":{"source":{"id":"1003.0506","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-02T05:59:45Z","cross_cats_sorted":[],"title_canon_sha256":"853bb9e59f717bc678cfb29c9c3789bc0921d8443e90a7958bd88c936b138e29","abstract_canon_sha256":"89dae09b6d5d8c23d8f8835eefd0897c4a3ba810d1c0dc3e8c0923848c8095c5"},"schema_version":"1.0"},"canonical_sha256":"65f56f7f31e1bebc8953c2fd898dc07f71f8143bdfc46712e589cfd8a8847663","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:47.756246Z","signature_b64":"V8h2MEa8QLsOIuye/v+Ryr3wAEawrBgJFp9mgcsOsbSoFC1fNnch9/58L+AkSqT3r2y6xtQa3VQThJIKfelqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65f56f7f31e1bebc8953c2fd898dc07f71f8143bdfc46712e589cfd8a8847663","last_reissued_at":"2026-05-18T02:08:47.755567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:47.755567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.0506","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wfzQE78iqkvTm8rzIIshLM4YB99NCB9txkXdXDTjsTDaKLitNYKMCYNMILdZwbFS+yjHQ4IUfb+/fcDz3GwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:09:48.512908Z"},"content_sha256":"516119a0e16cecfccdcf9ddbfee8540c670ab1b69aa7e53d1d938ed9d66c0b61","schema_version":"1.0","event_id":"sha256:516119a0e16cecfccdcf9ddbfee8540c670ab1b69aa7e53d1d938ed9d66c0b61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MX2W67ZR4G7LZCKTYL6YTDOAP5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double occupancies in confined attractive fermions on optical lattices","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Gao Xianlong, Ji-Hong Hu","submitted_at":"2010-03-02T05:59:45Z","abstract_excerpt":"We perform a numerical study of a one-dimensional Fermion-Hubbard model in harmonic traps within the Thomas-Fermi approximation based on the exact Bethe-ansatz solution. The $\\rho-U/t$ phase diagram is shown for the systems of attractive interactions ($\\rho$ is the characteristic density and $U/t$ the interaction strength scaled in units of the hopping parameter.). We study the double occupancy, the local central density and their derivatives. Their roles are discussed in details in detecting the composite phases induced by the trapping potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0506","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":""},"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":"2026-05-18T02:08:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otiX91gPrCGetME4yDa/kNIQ3WFgxhLA4PrO8rdsYKGXs5VOPOG819AlzJ8H2/nJmONrOIU+jQVtREBPfKrSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T06:09:48.513252Z"},"content_sha256":"2e31a2ef6e71f2030c6b6ec02e7b9ca1d09e3710dca3e2bee97cb29502288366","schema_version":"1.0","event_id":"sha256:2e31a2ef6e71f2030c6b6ec02e7b9ca1d09e3710dca3e2bee97cb29502288366"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/bundle.json","state_url":"https://pith.science/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/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":"2026-05-31T06:09:48Z","links":{"resolver":"https://pith.science/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5","bundle":"https://pith.science/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/bundle.json","state":"https://pith.science/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MX2W67ZR4G7LZCKTYL6YTDOAP5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MX2W67ZR4G7LZCKTYL6YTDOAP5","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":"89dae09b6d5d8c23d8f8835eefd0897c4a3ba810d1c0dc3e8c0923848c8095c5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-02T05:59:45Z","title_canon_sha256":"853bb9e59f717bc678cfb29c9c3789bc0921d8443e90a7958bd88c936b138e29"},"schema_version":"1.0","source":{"id":"1003.0506","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.0506","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1003.0506v1","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.0506","created_at":"2026-05-18T02:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"MX2W67ZR4G7L","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MX2W67ZR4G7LZCKT","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MX2W67ZR","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:2e31a2ef6e71f2030c6b6ec02e7b9ca1d09e3710dca3e2bee97cb29502288366","target":"graph","created_at":"2026-05-18T02:08:47Z","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":"We perform a numerical study of a one-dimensional Fermion-Hubbard model in harmonic traps within the Thomas-Fermi approximation based on the exact Bethe-ansatz solution. The $\\rho-U/t$ phase diagram is shown for the systems of attractive interactions ($\\rho$ is the characteristic density and $U/t$ the interaction strength scaled in units of the hopping parameter.). We study the double occupancy, the local central density and their derivatives. Their roles are discussed in details in detecting the composite phases induced by the trapping potential.","authors_text":"Gao Xianlong, Ji-Hong Hu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-02T05:59:45Z","title":"Double occupancies in confined attractive fermions on optical lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.0506","kind":"arxiv","version":1},"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":"sha256:516119a0e16cecfccdcf9ddbfee8540c670ab1b69aa7e53d1d938ed9d66c0b61","target":"record","created_at":"2026-05-18T02:08:47Z","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":"89dae09b6d5d8c23d8f8835eefd0897c4a3ba810d1c0dc3e8c0923848c8095c5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-02T05:59:45Z","title_canon_sha256":"853bb9e59f717bc678cfb29c9c3789bc0921d8443e90a7958bd88c936b138e29"},"schema_version":"1.0","source":{"id":"1003.0506","kind":"arxiv","version":1}},"canonical_sha256":"65f56f7f31e1bebc8953c2fd898dc07f71f8143bdfc46712e589cfd8a8847663","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65f56f7f31e1bebc8953c2fd898dc07f71f8143bdfc46712e589cfd8a8847663","first_computed_at":"2026-05-18T02:08:47.755567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:47.755567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V8h2MEa8QLsOIuye/v+Ryr3wAEawrBgJFp9mgcsOsbSoFC1fNnch9/58L+AkSqT3r2y6xtQa3VQThJIKfelqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:47.756246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.0506","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:516119a0e16cecfccdcf9ddbfee8540c670ab1b69aa7e53d1d938ed9d66c0b61","sha256:2e31a2ef6e71f2030c6b6ec02e7b9ca1d09e3710dca3e2bee97cb29502288366"],"state_sha256":"f897884e42f82eb8e9729770517b01aa3b91d96af4e2422ccfea130ed158fc4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LWAmKYi7OeUbQs2m3eGDPZMLIjKTipzKClS0ihn9t5PVU5mXs5yRWyzBtvZ34CHC8UeUJW7KW7OguGh1f9dkAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T06:09:48.516048Z","bundle_sha256":"b9aed149987a9e35cbdd1eacd20252f300fcd8f71d937aa4c8c2139da735fcd4"}}