{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:ZIL7KWDVGEPH3WJUFORTO3MDAM","short_pith_number":"pith:ZIL7KWDV","canonical_record":{"source":{"id":"0908.3812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-26T13:11:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a918ff469348dd2304cffa4e8d7c632bbafdd2e335aa521db644cb17df93ea32","abstract_canon_sha256":"1a40207d36fd578177cad853c719bfd8ca44a943c94e7689ec741a64e90267d8"},"schema_version":"1.0"},"canonical_sha256":"ca17f55875311e7dd9342ba3376d8303013fbac6dffcd482cad24cdc286660f5","source":{"kind":"arxiv","id":"0908.3812","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3812","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3812v2","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3812","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZIL7KWDVGEPH","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZIL7KWDVGEPH3WJU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZIL7KWDV","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:ZIL7KWDVGEPH3WJUFORTO3MDAM","target":"record","payload":{"canonical_record":{"source":{"id":"0908.3812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-26T13:11:15Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"a918ff469348dd2304cffa4e8d7c632bbafdd2e335aa521db644cb17df93ea32","abstract_canon_sha256":"1a40207d36fd578177cad853c719bfd8ca44a943c94e7689ec741a64e90267d8"},"schema_version":"1.0"},"canonical_sha256":"ca17f55875311e7dd9342ba3376d8303013fbac6dffcd482cad24cdc286660f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:22.736206Z","signature_b64":"XXFhTQZrc2hP0gkLe/JRC99T5tc182+YT5EGdJnGxOmw6vV+n12tIVj+ZGnsZlBFv6hQpxV3FIgnNifRARKPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca17f55875311e7dd9342ba3376d8303013fbac6dffcd482cad24cdc286660f5","last_reissued_at":"2026-05-18T02:12:22.735394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:22.735394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.3812","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":"2026-05-18T02:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tFqp6RbQTneLL1FhFYquyRdC5fcpdTAiRswqUEaiRzthJFeWoHz+WwUoQXp0o2diDe9b5QhrO0GypN3jDgaNBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:27:19.930988Z"},"content_sha256":"3c4cffcd9fee2ef01def2bc09a94cf8d9a258c4e8cef9c5512277ce5718fbbd0","schema_version":"1.0","event_id":"sha256:3c4cffcd9fee2ef01def2bc09a94cf8d9a258c4e8cef9c5512277ce5718fbbd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:ZIL7KWDVGEPH3WJUFORTO3MDAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal temperature dependence of electron number in one-dimensional Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Jun Maeda, Sei-ichiro Suga","submitted_at":"2009-08-26T13:11:15Z","abstract_excerpt":"We investigate the temperature region in which a Tomonaga-Luttinger liquid (TLL) description of the charge sector of the one-dimensional Hubbard model is valid. By using the thermodynamic Bethe ansatz method, electron number is calculated at finite temperatures and fixed chemical potential. We observe maximum electron number as a function of temperature close to the chemical potential of the upper critical value that corresponds to half filling. As the chemical potential approaches the upper critical value from below, the temperature $(T_{\\rm M})$ at which the electron number shows its maximum"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3812","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":"2026-05-18T02:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmdn1A0TLAUlRA92jGyHKCo1Z65ARXJdsB7spnjDgir0fo0V+CeSQ3Jgq0ShNQYMrrucyx3ttHYXkgcjwMwcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T08:27:19.931348Z"},"content_sha256":"2168795e10962c9cb98ef5a84d4a8e7a13edc38a91578de1d2f1000a6fc591ea","schema_version":"1.0","event_id":"sha256:2168795e10962c9cb98ef5a84d4a8e7a13edc38a91578de1d2f1000a6fc591ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/bundle.json","state_url":"https://pith.science/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/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":"2026-05-20T08:27:19Z","links":{"resolver":"https://pith.science/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM","bundle":"https://pith.science/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/bundle.json","state":"https://pith.science/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZIL7KWDVGEPH3WJUFORTO3MDAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ZIL7KWDVGEPH3WJUFORTO3MDAM","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":"1a40207d36fd578177cad853c719bfd8ca44a943c94e7689ec741a64e90267d8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-26T13:11:15Z","title_canon_sha256":"a918ff469348dd2304cffa4e8d7c632bbafdd2e335aa521db644cb17df93ea32"},"schema_version":"1.0","source":{"id":"0908.3812","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.3812","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"0908.3812v2","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.3812","created_at":"2026-05-18T02:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"ZIL7KWDVGEPH","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"ZIL7KWDVGEPH3WJU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"ZIL7KWDV","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:2168795e10962c9cb98ef5a84d4a8e7a13edc38a91578de1d2f1000a6fc591ea","target":"graph","created_at":"2026-05-18T02:12:22Z","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 investigate the temperature region in which a Tomonaga-Luttinger liquid (TLL) description of the charge sector of the one-dimensional Hubbard model is valid. By using the thermodynamic Bethe ansatz method, electron number is calculated at finite temperatures and fixed chemical potential. We observe maximum electron number as a function of temperature close to the chemical potential of the upper critical value that corresponds to half filling. As the chemical potential approaches the upper critical value from below, the temperature $(T_{\\rm M})$ at which the electron number shows its maximum","authors_text":"Jun Maeda, Sei-ichiro Suga","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-26T13:11:15Z","title":"Universal temperature dependence of electron number in one-dimensional Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.3812","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":"sha256:3c4cffcd9fee2ef01def2bc09a94cf8d9a258c4e8cef9c5512277ce5718fbbd0","target":"record","created_at":"2026-05-18T02:12:22Z","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":"1a40207d36fd578177cad853c719bfd8ca44a943c94e7689ec741a64e90267d8","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-26T13:11:15Z","title_canon_sha256":"a918ff469348dd2304cffa4e8d7c632bbafdd2e335aa521db644cb17df93ea32"},"schema_version":"1.0","source":{"id":"0908.3812","kind":"arxiv","version":2}},"canonical_sha256":"ca17f55875311e7dd9342ba3376d8303013fbac6dffcd482cad24cdc286660f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca17f55875311e7dd9342ba3376d8303013fbac6dffcd482cad24cdc286660f5","first_computed_at":"2026-05-18T02:12:22.735394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:22.735394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XXFhTQZrc2hP0gkLe/JRC99T5tc182+YT5EGdJnGxOmw6vV+n12tIVj+ZGnsZlBFv6hQpxV3FIgnNifRARKPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:22.736206Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.3812","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c4cffcd9fee2ef01def2bc09a94cf8d9a258c4e8cef9c5512277ce5718fbbd0","sha256:2168795e10962c9cb98ef5a84d4a8e7a13edc38a91578de1d2f1000a6fc591ea"],"state_sha256":"331d69b7d921aff06c16a0780c84efa0025bd840afdda324b7755f2b8cc34b1f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4F4lA2UiWvX/N4h9Kqt6yzkEG+cwmpu67JR+HsO2DQDs28ICZeKvEpPmC5KYifZbC267N7juz8fD/4eXPbpfCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T08:27:19.933370Z","bundle_sha256":"c527a44e0f0e2e3c2c31a848bf39d30468a704f29e231b5adefd16a4e8c983ad"}}