{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:X7W676727JXHTPVT4TZ46Y67J2","short_pith_number":"pith:X7W67672","canonical_record":{"source":{"id":"1110.2821","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-13T00:43:13Z","cross_cats_sorted":[],"title_canon_sha256":"8fc25dd313db8e654cb7d7e5afa6295fe15dc27b20a74ed195000fa7055a4ba7","abstract_canon_sha256":"c4011ea27cba847830f08a521db8476bb9e14f6389046afd8d6092f2eb4e94a2"},"schema_version":"1.0"},"canonical_sha256":"bfedeffbfafa6e79beb3e4f3cf63df4e901215d22288b3337fb0b164f4e840ee","source":{"kind":"arxiv","id":"1110.2821","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2821","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2821v2","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2821","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"pith_short_12","alias_value":"X7W676727JXH","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X7W676727JXHTPVT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X7W67672","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:X7W676727JXHTPVT4TZ46Y67J2","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2821","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-13T00:43:13Z","cross_cats_sorted":[],"title_canon_sha256":"8fc25dd313db8e654cb7d7e5afa6295fe15dc27b20a74ed195000fa7055a4ba7","abstract_canon_sha256":"c4011ea27cba847830f08a521db8476bb9e14f6389046afd8d6092f2eb4e94a2"},"schema_version":"1.0"},"canonical_sha256":"bfedeffbfafa6e79beb3e4f3cf63df4e901215d22288b3337fb0b164f4e840ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:12.937942Z","signature_b64":"MHphweHJ5HKWgQNN8oKK6Fc2H8v9MMZYJUAFpDe74nVX9vNuB023BkE4zRV9/Ss4KVtnh585lbpWJkM0NW4GDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfedeffbfafa6e79beb3e4f3cf63df4e901215d22288b3337fb0b164f4e840ee","last_reissued_at":"2026-05-18T02:00:12.937265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:12.937265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2821","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":"2026-05-18T02:00:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qg1dZC3+Qw7UuZqti8x3vWpsMl0oMHi1nyLkf9YnUpMmaXmR3KLPoDhaOOKjQGaOyvXx/I39KVmYta5Aeaj7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:48:56.162584Z"},"content_sha256":"e5b994472e798bc4ac1bd813690c6f1c71a7e684a72dd664a1d3dba625343f2f","schema_version":"1.0","event_id":"sha256:e5b994472e798bc4ac1bd813690c6f1c71a7e684a72dd664a1d3dba625343f2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:X7W676727JXHTPVT4TZ46Y67J2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Xi-Wen Guan, Zhong-Qi Ma","submitted_at":"2011-10-13T00:43:13Z","abstract_excerpt":"The Fredholm equations for one-dimensional two-component Fermions with repulsive and with attractive delta-function interactions are solved by an asymptotic expansion for A) strong repulsion, B) weak repulsion, C) weak attraction and D) strong attraction. Consequently, we obtain the first few terms of the expansion of ground state energy for the Fermi gas with polarization for these regimes. We also prove that the two sets of the Fredhom equations for weakly repulsive and attractive interactions are identical as long as the integration boundaries match each other between the two sides. Thus th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2821","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":"2026-05-18T02:00:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6nuvHJo7Zry5gOMhC4DrLbrME9dpyz05NtecCxUe3g4cWb9FXn+VCHEEkzjDqqhVUyH04VofKbdRNyf06u5LAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:48:56.163236Z"},"content_sha256":"9a83a9c0587febf0e0162d666dc1455c8d6702288441681f39d3dc270fcfeb21","schema_version":"1.0","event_id":"sha256:9a83a9c0587febf0e0162d666dc1455c8d6702288441681f39d3dc270fcfeb21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X7W676727JXHTPVT4TZ46Y67J2/bundle.json","state_url":"https://pith.science/pith/X7W676727JXHTPVT4TZ46Y67J2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X7W676727JXHTPVT4TZ46Y67J2/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":"2026-06-05T21:48:56Z","links":{"resolver":"https://pith.science/pith/X7W676727JXHTPVT4TZ46Y67J2","bundle":"https://pith.science/pith/X7W676727JXHTPVT4TZ46Y67J2/bundle.json","state":"https://pith.science/pith/X7W676727JXHTPVT4TZ46Y67J2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X7W676727JXHTPVT4TZ46Y67J2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:X7W676727JXHTPVT4TZ46Y67J2","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":"c4011ea27cba847830f08a521db8476bb9e14f6389046afd8d6092f2eb4e94a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-13T00:43:13Z","title_canon_sha256":"8fc25dd313db8e654cb7d7e5afa6295fe15dc27b20a74ed195000fa7055a4ba7"},"schema_version":"1.0","source":{"id":"1110.2821","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2821","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2821v2","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2821","created_at":"2026-05-18T02:00:12Z"},{"alias_kind":"pith_short_12","alias_value":"X7W676727JXH","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"X7W676727JXHTPVT","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"X7W67672","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:9a83a9c0587febf0e0162d666dc1455c8d6702288441681f39d3dc270fcfeb21","target":"graph","created_at":"2026-05-18T02:00:12Z","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 Fredholm equations for one-dimensional two-component Fermions with repulsive and with attractive delta-function interactions are solved by an asymptotic expansion for A) strong repulsion, B) weak repulsion, C) weak attraction and D) strong attraction. Consequently, we obtain the first few terms of the expansion of ground state energy for the Fermi gas with polarization for these regimes. We also prove that the two sets of the Fredhom equations for weakly repulsive and attractive interactions are identical as long as the integration boundaries match each other between the two sides. Thus th","authors_text":"Xi-Wen Guan, Zhong-Qi Ma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-13T00:43:13Z","title":"One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2821","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:e5b994472e798bc4ac1bd813690c6f1c71a7e684a72dd664a1d3dba625343f2f","target":"record","created_at":"2026-05-18T02:00:12Z","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":"c4011ea27cba847830f08a521db8476bb9e14f6389046afd8d6092f2eb4e94a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-13T00:43:13Z","title_canon_sha256":"8fc25dd313db8e654cb7d7e5afa6295fe15dc27b20a74ed195000fa7055a4ba7"},"schema_version":"1.0","source":{"id":"1110.2821","kind":"arxiv","version":2}},"canonical_sha256":"bfedeffbfafa6e79beb3e4f3cf63df4e901215d22288b3337fb0b164f4e840ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfedeffbfafa6e79beb3e4f3cf63df4e901215d22288b3337fb0b164f4e840ee","first_computed_at":"2026-05-18T02:00:12.937265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:12.937265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MHphweHJ5HKWgQNN8oKK6Fc2H8v9MMZYJUAFpDe74nVX9vNuB023BkE4zRV9/Ss4KVtnh585lbpWJkM0NW4GDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:12.937942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2821","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5b994472e798bc4ac1bd813690c6f1c71a7e684a72dd664a1d3dba625343f2f","sha256:9a83a9c0587febf0e0162d666dc1455c8d6702288441681f39d3dc270fcfeb21"],"state_sha256":"d456673116691184067022584e4d55e21198cc3261b1e38758f3068f9cd2f452"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qulLMTFcrj+S2sTD9LxkDiky5bTlxdfPyFII3Elp0AIJcL+ByaoAsExCjFwsljD1pAOSmI4UqMGrYirou3UuCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:48:56.166446Z","bundle_sha256":"35062a2fa94f5219ae675701c70a255329d07be735f1275a2bb70a3d2763b76a"}}