{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VDVQWD4QAQQENA6WDGK3CNNC4N","short_pith_number":"pith:VDVQWD4Q","canonical_record":{"source":{"id":"1710.08742","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-24T12:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"68e97051a558f27bfd36d53204f8ec9139e9b3f06cb67e46dd153c528a6b81b4","abstract_canon_sha256":"1a023c1f374b90e9f1885134489d3bc819ec6188723e309d715ab1a740bb2ac8"},"schema_version":"1.0"},"canonical_sha256":"a8eb0b0f9004204683d61995b135a2e3595a247ff40f24eb3554741b61d407ea","source":{"kind":"arxiv","id":"1710.08742","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08742","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08742v3","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08742","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"VDVQWD4QAQQE","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VDVQWD4QAQQENA6W","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VDVQWD4Q","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VDVQWD4QAQQENA6WDGK3CNNC4N","target":"record","payload":{"canonical_record":{"source":{"id":"1710.08742","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-24T12:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"68e97051a558f27bfd36d53204f8ec9139e9b3f06cb67e46dd153c528a6b81b4","abstract_canon_sha256":"1a023c1f374b90e9f1885134489d3bc819ec6188723e309d715ab1a740bb2ac8"},"schema_version":"1.0"},"canonical_sha256":"a8eb0b0f9004204683d61995b135a2e3595a247ff40f24eb3554741b61d407ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:25.993906Z","signature_b64":"B7p4n+Id68LuZOA9bDM6fireQP5t83S/7rlp1eGOuZfbV1GwLM6AHQofENRwt8ywCg0EhxgoXeYZvGJ4lL3LBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8eb0b0f9004204683d61995b135a2e3595a247ff40f24eb3554741b61d407ea","last_reissued_at":"2026-05-18T00:19:25.993468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:25.993468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.08742","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aOpjoJ3t3zmkWkW8cNjzJfshVpfxCjloZIns3Qb8ipZbEhJzU4RjJcFzvgOWa4L0ryWRpx8CH6/r5GCPqPB8Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:49:02.108574Z"},"content_sha256":"d1b1de4f1afd05cbfd27c637da1f4b5ed70b7e8d050a91ca3f5f57d5eee5996b","schema_version":"1.0","event_id":"sha256:d1b1de4f1afd05cbfd27c637da1f4b5ed70b7e8d050a91ca3f5f57d5eee5996b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VDVQWD4QAQQENA6WDGK3CNNC4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Murray T. Batchelor, Song Cheng, Xi-Wen Guan, Yi-Cong Yu, Yu-Zhu Jiang","submitted_at":"2017-10-24T12:51:38Z","abstract_excerpt":"We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We particularly find the oscillating behavior of these correlation functions with spatial power-law decay, of which the pair (spin) correlation function oscillates with a frequency $\\Delta k_F$ ($2\\Delta k_F$). Here $\\Delta k_F=\\pi(n_\\uparrow-n_\\downarrow)$ is the mismatch in the Fermi surfaces of spin-up and spin-down particles. Consequently, the pair correlation func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08742","kind":"arxiv","version":3},"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":"2026-05-18T00:19:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oiuk26C5YhLPKn077VfiQyGn47SMDom14aihTSpUjl/XhIc/V2LFNWKmcNUaUXb+XWCcVIoq97S7c1MadsynAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:49:02.108907Z"},"content_sha256":"2b471dfc0adc2978e76c37bd1ded90ddfb159b8c80182cf00ae86e6bdec4508f","schema_version":"1.0","event_id":"sha256:2b471dfc0adc2978e76c37bd1ded90ddfb159b8c80182cf00ae86e6bdec4508f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/bundle.json","state_url":"https://pith.science/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/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":"2026-06-03T17:49:02Z","links":{"resolver":"https://pith.science/pith/VDVQWD4QAQQENA6WDGK3CNNC4N","bundle":"https://pith.science/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/bundle.json","state":"https://pith.science/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VDVQWD4QAQQENA6WDGK3CNNC4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VDVQWD4QAQQENA6WDGK3CNNC4N","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":"1a023c1f374b90e9f1885134489d3bc819ec6188723e309d715ab1a740bb2ac8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-24T12:51:38Z","title_canon_sha256":"68e97051a558f27bfd36d53204f8ec9139e9b3f06cb67e46dd153c528a6b81b4"},"schema_version":"1.0","source":{"id":"1710.08742","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08742","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08742v3","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08742","created_at":"2026-05-18T00:19:25Z"},{"alias_kind":"pith_short_12","alias_value":"VDVQWD4QAQQE","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VDVQWD4QAQQENA6W","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VDVQWD4Q","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:2b471dfc0adc2978e76c37bd1ded90ddfb159b8c80182cf00ae86e6bdec4508f","target":"graph","created_at":"2026-05-18T00:19:25Z","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":"We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We particularly find the oscillating behavior of these correlation functions with spatial power-law decay, of which the pair (spin) correlation function oscillates with a frequency $\\Delta k_F$ ($2\\Delta k_F$). Here $\\Delta k_F=\\pi(n_\\uparrow-n_\\downarrow)$ is the mismatch in the Fermi surfaces of spin-up and spin-down particles. Consequently, the pair correlation func","authors_text":"Murray T. Batchelor, Song Cheng, Xi-Wen Guan, Yi-Cong Yu, Yu-Zhu Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-24T12:51:38Z","title":"Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08742","kind":"arxiv","version":3},"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:d1b1de4f1afd05cbfd27c637da1f4b5ed70b7e8d050a91ca3f5f57d5eee5996b","target":"record","created_at":"2026-05-18T00:19:25Z","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":"1a023c1f374b90e9f1885134489d3bc819ec6188723e309d715ab1a740bb2ac8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-24T12:51:38Z","title_canon_sha256":"68e97051a558f27bfd36d53204f8ec9139e9b3f06cb67e46dd153c528a6b81b4"},"schema_version":"1.0","source":{"id":"1710.08742","kind":"arxiv","version":3}},"canonical_sha256":"a8eb0b0f9004204683d61995b135a2e3595a247ff40f24eb3554741b61d407ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8eb0b0f9004204683d61995b135a2e3595a247ff40f24eb3554741b61d407ea","first_computed_at":"2026-05-18T00:19:25.993468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:25.993468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B7p4n+Id68LuZOA9bDM6fireQP5t83S/7rlp1eGOuZfbV1GwLM6AHQofENRwt8ywCg0EhxgoXeYZvGJ4lL3LBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:25.993906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08742","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b1de4f1afd05cbfd27c637da1f4b5ed70b7e8d050a91ca3f5f57d5eee5996b","sha256:2b471dfc0adc2978e76c37bd1ded90ddfb159b8c80182cf00ae86e6bdec4508f"],"state_sha256":"af75c2582b5561cdf80a919d1bb4d1daf8984099517947a978c46cdd9bd548ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxwjJ5jTubty8EU5lOUyNGL75KZpv814gEOMF12zXCfFPW/HZxHxTEfI8ZcYiqMlCYcO/pBV1cOiR/ku4NfoDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:49:02.110856Z","bundle_sha256":"3670ab4b2c540f63d21c0ce9fcf7d70e785747a3543beaacfe556f02fcf0ef4a"}}