{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:INQR62PZWRLZUL2K4WUTJS4LCH","short_pith_number":"pith:INQR62PZ","canonical_record":{"source":{"id":"1308.4511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-21T08:41:14Z","cross_cats_sorted":[],"title_canon_sha256":"c86dad93ce985ddf9e51e24b4b094a59b9b1db72873e84e8e73307fd4c0ba268","abstract_canon_sha256":"875d79880967bbf15c6ba92cbf274b5c500169bec3b6ed2f6b5b204809fce68c"},"schema_version":"1.0"},"canonical_sha256":"43611f69f9b4579a2f4ae5a934cb8b11e95860f16f948e94df2b666a5bc3de0d","source":{"kind":"arxiv","id":"1308.4511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4511","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4511v1","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4511","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"INQR62PZWRLZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"INQR62PZWRLZUL2K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"INQR62PZ","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:INQR62PZWRLZUL2K4WUTJS4LCH","target":"record","payload":{"canonical_record":{"source":{"id":"1308.4511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-21T08:41:14Z","cross_cats_sorted":[],"title_canon_sha256":"c86dad93ce985ddf9e51e24b4b094a59b9b1db72873e84e8e73307fd4c0ba268","abstract_canon_sha256":"875d79880967bbf15c6ba92cbf274b5c500169bec3b6ed2f6b5b204809fce68c"},"schema_version":"1.0"},"canonical_sha256":"43611f69f9b4579a2f4ae5a934cb8b11e95860f16f948e94df2b666a5bc3de0d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:22.815495Z","signature_b64":"75laK4ZwN9ZWbuYQcdoq9t/M2eA6YGObCiI8s526yRCkEfRiNci4Tu+RG6eUHAcfXcALns5VPmRubQsA2BIUDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43611f69f9b4579a2f4ae5a934cb8b11e95860f16f948e94df2b666a5bc3de0d","last_reissued_at":"2026-05-18T03:07:22.814820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:22.814820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.4511","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":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GjOQH2fvj5mtwY1KPx8LzJTfwQwBNy+9TDWXlmxkpTaPbAeccQ6l+M/zFo89lXhr7JkyW4DiCV1a/HDPYK6bCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:14:33.638569Z"},"content_sha256":"ac0dc872eb239477220d0d429dd5ee22b888444772063fb47119fda4032fb88a","schema_version":"1.0","event_id":"sha256:ac0dc872eb239477220d0d429dd5ee22b888444772063fb47119fda4032fb88a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:INQR62PZWRLZUL2K4WUTJS4LCH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Ren Zhang, Wei Zhang","submitted_at":"2013-08-21T08:41:14Z","abstract_excerpt":"We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a two-channel form, where the population in transverse excited levels are described by dressed molecules in the closed channel. For energy regime slightly above the continuum threshold, the effective Hamiltonian takes a single-channel form, where low-energy physics is governed by the one-dimensional interacting strength determined by three-dimensional scattering length"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4511","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":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zYPVKuy7/nz9ihC69ikHZQl4XxmQmwXm9YnJOU3gw6inTUU8on4YutTBqDAK4GdMhiF6kVPrrBKBS9Awk96bBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:14:33.639206Z"},"content_sha256":"eea4b5124a9fb315ed1ed7690de3133ec71e06fc8160c39f4f545a20c96e7d4f","schema_version":"1.0","event_id":"sha256:eea4b5124a9fb315ed1ed7690de3133ec71e06fc8160c39f4f545a20c96e7d4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/INQR62PZWRLZUL2K4WUTJS4LCH/bundle.json","state_url":"https://pith.science/pith/INQR62PZWRLZUL2K4WUTJS4LCH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/INQR62PZWRLZUL2K4WUTJS4LCH/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":"2026-05-30T06:14:33Z","links":{"resolver":"https://pith.science/pith/INQR62PZWRLZUL2K4WUTJS4LCH","bundle":"https://pith.science/pith/INQR62PZWRLZUL2K4WUTJS4LCH/bundle.json","state":"https://pith.science/pith/INQR62PZWRLZUL2K4WUTJS4LCH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/INQR62PZWRLZUL2K4WUTJS4LCH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:INQR62PZWRLZUL2K4WUTJS4LCH","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":"875d79880967bbf15c6ba92cbf274b5c500169bec3b6ed2f6b5b204809fce68c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-21T08:41:14Z","title_canon_sha256":"c86dad93ce985ddf9e51e24b4b094a59b9b1db72873e84e8e73307fd4c0ba268"},"schema_version":"1.0","source":{"id":"1308.4511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.4511","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1308.4511v1","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.4511","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"INQR62PZWRLZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"INQR62PZWRLZUL2K","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"INQR62PZ","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:eea4b5124a9fb315ed1ed7690de3133ec71e06fc8160c39f4f545a20c96e7d4f","target":"graph","created_at":"2026-05-18T03:07:22Z","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 derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a two-channel form, where the population in transverse excited levels are described by dressed molecules in the closed channel. For energy regime slightly above the continuum threshold, the effective Hamiltonian takes a single-channel form, where low-energy physics is governed by the one-dimensional interacting strength determined by three-dimensional scattering length","authors_text":"Ren Zhang, Wei Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-21T08:41:14Z","title":"Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.4511","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:ac0dc872eb239477220d0d429dd5ee22b888444772063fb47119fda4032fb88a","target":"record","created_at":"2026-05-18T03:07:22Z","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":"875d79880967bbf15c6ba92cbf274b5c500169bec3b6ed2f6b5b204809fce68c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2013-08-21T08:41:14Z","title_canon_sha256":"c86dad93ce985ddf9e51e24b4b094a59b9b1db72873e84e8e73307fd4c0ba268"},"schema_version":"1.0","source":{"id":"1308.4511","kind":"arxiv","version":1}},"canonical_sha256":"43611f69f9b4579a2f4ae5a934cb8b11e95860f16f948e94df2b666a5bc3de0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43611f69f9b4579a2f4ae5a934cb8b11e95860f16f948e94df2b666a5bc3de0d","first_computed_at":"2026-05-18T03:07:22.814820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:22.814820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"75laK4ZwN9ZWbuYQcdoq9t/M2eA6YGObCiI8s526yRCkEfRiNci4Tu+RG6eUHAcfXcALns5VPmRubQsA2BIUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:22.815495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.4511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac0dc872eb239477220d0d429dd5ee22b888444772063fb47119fda4032fb88a","sha256:eea4b5124a9fb315ed1ed7690de3133ec71e06fc8160c39f4f545a20c96e7d4f"],"state_sha256":"f99e0328e9c05b5c0cdf59a5186f2129d0c468aca2fe8de3218556f3d7a64018"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IdVsRmzTMfpan3LaY+sYcL0QjkdLy4RPEMLUu2huSP5CigPCxUT7vnFUxI27ojcjrg9DowG5B7sEfUXa94qBBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:14:33.642569Z","bundle_sha256":"e265b0b44825cb89deb829aa878ebd6c07a9d1fa0a9cd7c228b8b0cfaf884d2c"}}