{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VO4QEHOF34W2XILARK44KNJIJE","short_pith_number":"pith:VO4QEHOF","canonical_record":{"source":{"id":"1708.06835","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-22T21:55:28Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"13f737ace3206d78409049783919da2331c80178c23fb17dbc6f26072d1daff3","abstract_canon_sha256":"83bf7608775f241aa82c12e5707d2f9ee311c5c18d0f652ce97f82d45e3079ca"},"schema_version":"1.0"},"canonical_sha256":"abb9021dc5df2daba1608ab9c53528492404c1933b58ce8fc9e3aa48999d6309","source":{"kind":"arxiv","id":"1708.06835","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06835","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06835v3","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06835","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"VO4QEHOF34W2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VO4QEHOF34W2XILA","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VO4QEHOF","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VO4QEHOF34W2XILARK44KNJIJE","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06835","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-22T21:55:28Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"13f737ace3206d78409049783919da2331c80178c23fb17dbc6f26072d1daff3","abstract_canon_sha256":"83bf7608775f241aa82c12e5707d2f9ee311c5c18d0f652ce97f82d45e3079ca"},"schema_version":"1.0"},"canonical_sha256":"abb9021dc5df2daba1608ab9c53528492404c1933b58ce8fc9e3aa48999d6309","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:11.383140Z","signature_b64":"CFrnMzzeeuommNAcMcLNRPp/6BbVo8D11sQqNrAg96o/X1qKvsv0jILZxJ/neupjNT3CcDiAfoTlJBgoNW32Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abb9021dc5df2daba1608ab9c53528492404c1933b58ce8fc9e3aa48999d6309","last_reissued_at":"2026-05-18T00:21:11.382594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:11.382594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06835","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":"2026-05-18T00:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7XQyp/KinEBeOuSVazQ679WdQ+nitMKJ3L/4stKXF9eT46k0mfpZdxjX+4OKknp6GBSY+g/J7ItWqjEyfqKXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:38:22.068528Z"},"content_sha256":"2cf74839cdbc8d191defacdb8a88af0a249355dfb4dbb5e82da5a481a2be759a","schema_version":"1.0","event_id":"sha256:2cf74839cdbc8d191defacdb8a88af0a249355dfb4dbb5e82da5a481a2be759a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VO4QEHOF34W2XILARK44KNJIJE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dependence of structure factor and correlation energy on the width of electron wires","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.quant-gas","authors_text":"Klaus Morawetz, K. N. Pathak, Renu Bala, Vinod Ashokan","submitted_at":"2017-08-22T21:55:28Z","abstract_excerpt":"The structure factor and correlation energy of a quantum wire of thickness $b\\ll a_B$ are studied in random phase approximation and for the less investigated region $r_s<1$. Using the single-loop approximation, analytical expressions of the structure factor have been obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy $\\epsilon_c$ is found to be represented by $\\epsilon_c (b,r_s)= \\frac{\\alpha(r_s)}{b} + \\beta(r_s)\\; ln(b) + \\eta(r_s)$, for small $b$ and high densities. For a pragmatic width of the wire, the corre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06835","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":"2026-05-18T00:21:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hPBT5zCcwQT8IHq2nztb3dAokAqWVLbZvtxKPDtkmqMW7Ig/axhRcg0QdywPQ2r2uWkRk2mf+kKUNFpgveF9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:38:22.068874Z"},"content_sha256":"3d9934941e004b6451ebde8afa1f41b6a3a54b1a8039894b51b36fa558dd890d","schema_version":"1.0","event_id":"sha256:3d9934941e004b6451ebde8afa1f41b6a3a54b1a8039894b51b36fa558dd890d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VO4QEHOF34W2XILARK44KNJIJE/bundle.json","state_url":"https://pith.science/pith/VO4QEHOF34W2XILARK44KNJIJE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VO4QEHOF34W2XILARK44KNJIJE/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":"2026-06-02T21:38:22Z","links":{"resolver":"https://pith.science/pith/VO4QEHOF34W2XILARK44KNJIJE","bundle":"https://pith.science/pith/VO4QEHOF34W2XILARK44KNJIJE/bundle.json","state":"https://pith.science/pith/VO4QEHOF34W2XILARK44KNJIJE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VO4QEHOF34W2XILARK44KNJIJE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VO4QEHOF34W2XILARK44KNJIJE","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":"83bf7608775f241aa82c12e5707d2f9ee311c5c18d0f652ce97f82d45e3079ca","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-22T21:55:28Z","title_canon_sha256":"13f737ace3206d78409049783919da2331c80178c23fb17dbc6f26072d1daff3"},"schema_version":"1.0","source":{"id":"1708.06835","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06835","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06835v3","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06835","created_at":"2026-05-18T00:21:11Z"},{"alias_kind":"pith_short_12","alias_value":"VO4QEHOF34W2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VO4QEHOF34W2XILA","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VO4QEHOF","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:3d9934941e004b6451ebde8afa1f41b6a3a54b1a8039894b51b36fa558dd890d","target":"graph","created_at":"2026-05-18T00:21:11Z","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 structure factor and correlation energy of a quantum wire of thickness $b\\ll a_B$ are studied in random phase approximation and for the less investigated region $r_s<1$. Using the single-loop approximation, analytical expressions of the structure factor have been obtained. The exact expressions for the exchange energy are also derived for a cylindrical and harmonic wire. The correlation energy $\\epsilon_c$ is found to be represented by $\\epsilon_c (b,r_s)= \\frac{\\alpha(r_s)}{b} + \\beta(r_s)\\; ln(b) + \\eta(r_s)$, for small $b$ and high densities. For a pragmatic width of the wire, the corre","authors_text":"Klaus Morawetz, K. N. Pathak, Renu Bala, Vinod Ashokan","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-22T21:55:28Z","title":"Dependence of structure factor and correlation energy on the width of electron wires"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06835","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":"sha256:2cf74839cdbc8d191defacdb8a88af0a249355dfb4dbb5e82da5a481a2be759a","target":"record","created_at":"2026-05-18T00:21:11Z","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":"83bf7608775f241aa82c12e5707d2f9ee311c5c18d0f652ce97f82d45e3079ca","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-08-22T21:55:28Z","title_canon_sha256":"13f737ace3206d78409049783919da2331c80178c23fb17dbc6f26072d1daff3"},"schema_version":"1.0","source":{"id":"1708.06835","kind":"arxiv","version":3}},"canonical_sha256":"abb9021dc5df2daba1608ab9c53528492404c1933b58ce8fc9e3aa48999d6309","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abb9021dc5df2daba1608ab9c53528492404c1933b58ce8fc9e3aa48999d6309","first_computed_at":"2026-05-18T00:21:11.382594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:11.382594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CFrnMzzeeuommNAcMcLNRPp/6BbVo8D11sQqNrAg96o/X1qKvsv0jILZxJ/neupjNT3CcDiAfoTlJBgoNW32Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:11.383140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06835","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cf74839cdbc8d191defacdb8a88af0a249355dfb4dbb5e82da5a481a2be759a","sha256:3d9934941e004b6451ebde8afa1f41b6a3a54b1a8039894b51b36fa558dd890d"],"state_sha256":"f6e442bc09c3bc0ae098edcd334cfbd2caa814ce0f7d8ee7771cc678f9bc0f87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PdppDrumbAc+Dk1vHtp38jT/raq36AlwCjrBem0mgTTabseqv10uf7q5LsA5d+BW/WvMxPjm50dpj4LOo4zVAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:38:22.070904Z","bundle_sha256":"65a80b590f4eac9e5396a0d8dec0e5370ee3255cc70b18380abb8b6b1f789324"}}