{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2REUAOHVZVFCKBVKEM5RXZWTBG","short_pith_number":"pith:2REUAOHV","canonical_record":{"source":{"id":"1510.08303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-28T13:35:02Z","cross_cats_sorted":[],"title_canon_sha256":"23d6bc75dd26edf791a4c4205f2e498604bebdd7316fe3a0472c03a673a4fb9d","abstract_canon_sha256":"9e4d09880a77c0cba302008aa4eec7cc21a68c8393eaf07f0f669ef7e00a7729"},"schema_version":"1.0"},"canonical_sha256":"d4494038f5cd4a2506aa233b1be6d309a57dc707ce4adeed43bea7df8df36e16","source":{"kind":"arxiv","id":"1510.08303","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08303","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08303v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08303","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"2REUAOHVZVFC","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2REUAOHVZVFCKBVK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2REUAOHV","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2REUAOHVZVFCKBVKEM5RXZWTBG","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-28T13:35:02Z","cross_cats_sorted":[],"title_canon_sha256":"23d6bc75dd26edf791a4c4205f2e498604bebdd7316fe3a0472c03a673a4fb9d","abstract_canon_sha256":"9e4d09880a77c0cba302008aa4eec7cc21a68c8393eaf07f0f669ef7e00a7729"},"schema_version":"1.0"},"canonical_sha256":"d4494038f5cd4a2506aa233b1be6d309a57dc707ce4adeed43bea7df8df36e16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:25.178945Z","signature_b64":"+aWjr69zBuk6W2z3i45qMbG3HlpXGWoyBqkSb7vFeTuOTHPJxa1Yfj4LSQIej+wUBIF+KmEQtaW+QTDTh/kmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4494038f5cd4a2506aa233b1be6d309a57dc707ce4adeed43bea7df8df36e16","last_reissued_at":"2026-05-18T01:17:25.178396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:25.178396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08303","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":"2026-05-18T01:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O42a5jX+AwSpie2Qi/r96W61vsvWqFazsEbcKtBZeoV6xs5OI3e7pDfuq0VHCdilT+hyBuH9FixHtyP679pnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:34:56.354339Z"},"content_sha256":"9f42fcae5634b78aaa35b227c8477e132f198e7770bdcda4ca5524b4627b84ab","schema_version":"1.0","event_id":"sha256:9f42fcae5634b78aaa35b227c8477e132f198e7770bdcda4ca5524b4627b84ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2REUAOHVZVFCKBVKEM5RXZWTBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magnetic Impurity in a Tonks Gas of Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Deping Zhang, Hui Zhai, Wei Chen","submitted_at":"2015-10-28T13:35:02Z","abstract_excerpt":"In this letter we consider a magnetic impurity in a one-dimensional spin-$1/2$ Fermi gas with infinitely strong repulsive interaction between fermions. We rigorously prove that, independent of whether the magnetic coupling between impurity and fermions is ferromagnetic or anti-ferromagnetic, the ground state is always a fully polarized ferromagnetic state for the itinerant fermions. This ferromagnetism can be understood as a cooperative effect of avoiding frustration of magnetic coupling during fermion hopping and the large spin degeneracy of a fermion Tonks gas. By numerically diagonalizing a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08303","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":"2026-05-18T01:17:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MJkO8U4aBnTGcZWspZdRGkyD9T76hsAPUgyvNxR9nRE5aSEYM2gRqhBkZLPirWwj4ftLMKDVUwc85QuYhlFiCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T02:34:56.354709Z"},"content_sha256":"aa7f5739a82537c57ffea7eb53685bf3bc70685363e1ba5b6f55dc3ab82e655a","schema_version":"1.0","event_id":"sha256:aa7f5739a82537c57ffea7eb53685bf3bc70685363e1ba5b6f55dc3ab82e655a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/bundle.json","state_url":"https://pith.science/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/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":"2026-07-01T02:34:56Z","links":{"resolver":"https://pith.science/pith/2REUAOHVZVFCKBVKEM5RXZWTBG","bundle":"https://pith.science/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/bundle.json","state":"https://pith.science/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2REUAOHVZVFCKBVKEM5RXZWTBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2REUAOHVZVFCKBVKEM5RXZWTBG","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":"9e4d09880a77c0cba302008aa4eec7cc21a68c8393eaf07f0f669ef7e00a7729","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-28T13:35:02Z","title_canon_sha256":"23d6bc75dd26edf791a4c4205f2e498604bebdd7316fe3a0472c03a673a4fb9d"},"schema_version":"1.0","source":{"id":"1510.08303","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08303","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08303v2","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08303","created_at":"2026-05-18T01:17:25Z"},{"alias_kind":"pith_short_12","alias_value":"2REUAOHVZVFC","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2REUAOHVZVFCKBVK","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2REUAOHV","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:aa7f5739a82537c57ffea7eb53685bf3bc70685363e1ba5b6f55dc3ab82e655a","target":"graph","created_at":"2026-05-18T01:17:25Z","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":"In this letter we consider a magnetic impurity in a one-dimensional spin-$1/2$ Fermi gas with infinitely strong repulsive interaction between fermions. We rigorously prove that, independent of whether the magnetic coupling between impurity and fermions is ferromagnetic or anti-ferromagnetic, the ground state is always a fully polarized ferromagnetic state for the itinerant fermions. This ferromagnetism can be understood as a cooperative effect of avoiding frustration of magnetic coupling during fermion hopping and the large spin degeneracy of a fermion Tonks gas. By numerically diagonalizing a","authors_text":"Deping Zhang, Hui Zhai, Wei Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-28T13:35:02Z","title":"Magnetic Impurity in a Tonks Gas of Fermions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08303","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":"sha256:9f42fcae5634b78aaa35b227c8477e132f198e7770bdcda4ca5524b4627b84ab","target":"record","created_at":"2026-05-18T01:17:25Z","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":"9e4d09880a77c0cba302008aa4eec7cc21a68c8393eaf07f0f669ef7e00a7729","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-10-28T13:35:02Z","title_canon_sha256":"23d6bc75dd26edf791a4c4205f2e498604bebdd7316fe3a0472c03a673a4fb9d"},"schema_version":"1.0","source":{"id":"1510.08303","kind":"arxiv","version":2}},"canonical_sha256":"d4494038f5cd4a2506aa233b1be6d309a57dc707ce4adeed43bea7df8df36e16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4494038f5cd4a2506aa233b1be6d309a57dc707ce4adeed43bea7df8df36e16","first_computed_at":"2026-05-18T01:17:25.178396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:25.178396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+aWjr69zBuk6W2z3i45qMbG3HlpXGWoyBqkSb7vFeTuOTHPJxa1Yfj4LSQIej+wUBIF+KmEQtaW+QTDTh/kmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:25.178945Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08303","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f42fcae5634b78aaa35b227c8477e132f198e7770bdcda4ca5524b4627b84ab","sha256:aa7f5739a82537c57ffea7eb53685bf3bc70685363e1ba5b6f55dc3ab82e655a"],"state_sha256":"8efd33d59ede6345272b172445452c61eb38e1fd42f88aea4c520b7d54eda0cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E5Bkdmk5vj4TuFBuWwN0T0EPyke4o5SRCsgpwsasnSDZN8xHQ0aORv1H1V7BWbSxJM92SVZUE6RDmyzDBDkqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T02:34:56.356661Z","bundle_sha256":"c05317b103bbc62f083df3565be266f24290402fb2943db6904065c63b0a8beb"}}