{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VFKUJF3GVGPXNCX7C5LE5MV5X2","short_pith_number":"pith:VFKUJF3G","canonical_record":{"source":{"id":"1508.02491","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-08-11T05:52:36Z","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"fafa419f0f268ab3a5f475c4fc6de4ee82fc21daf452cf2e358a52c50ecbd46b","abstract_canon_sha256":"d9bcc9b4f75669b137b7d5695e2bfd12e4f786f9399d344929746b03ca608772"},"schema_version":"1.0"},"canonical_sha256":"a955449766a99f768aff17564eb2bdbea63924040936639a93bd48d9681d3c43","source":{"kind":"arxiv","id":"1508.02491","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02491","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02491v2","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02491","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"VFKUJF3GVGPX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VFKUJF3GVGPXNCX7","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VFKUJF3G","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VFKUJF3GVGPXNCX7C5LE5MV5X2","target":"record","payload":{"canonical_record":{"source":{"id":"1508.02491","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-08-11T05:52:36Z","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"title_canon_sha256":"fafa419f0f268ab3a5f475c4fc6de4ee82fc21daf452cf2e358a52c50ecbd46b","abstract_canon_sha256":"d9bcc9b4f75669b137b7d5695e2bfd12e4f786f9399d344929746b03ca608772"},"schema_version":"1.0"},"canonical_sha256":"a955449766a99f768aff17564eb2bdbea63924040936639a93bd48d9681d3c43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:44.871071Z","signature_b64":"5682dOR81C2j25OQBMvZxwy/oL5GaEug8v9/6WILtrudWIDUgQk4J+TWZdJpAtl3KtVcal0CPgHGGicIMTFsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a955449766a99f768aff17564eb2bdbea63924040936639a93bd48d9681d3c43","last_reissued_at":"2026-05-18T01:34:44.870539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:44.870539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.02491","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":"2026-05-18T01:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTSU0l3CA2ZIeBJvQv4UMbA6xNC94qL87kfukEb/C/Xmw5e6Z3tHgazgmBjCMtWBeyldNVDeCao0dHsXRWO1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:20:12.684626Z"},"content_sha256":"6ddad04878e4fa37bb55ce9df76a1c0c590de8b14673e493eae986fdc87364b5","schema_version":"1.0","event_id":"sha256:6ddad04878e4fa37bb55ce9df76a1c0c590de8b14673e493eae986fdc87364b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VFKUJF3GVGPXNCX7C5LE5MV5X2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniform electron gases: III. Low-density gases on three-dimensional spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"primary_cat":"physics.chem-ph","authors_text":"Anneke L. Knol, Davids Agboola, Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos","submitted_at":"2015-08-11T05:52:36Z","abstract_excerpt":"By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin electrons on a three-dimensional sphere (3-sphere), i.e.~the surface of a four-dimensional ball. In the VMC calculations, we compare the efficacies of two types of one-electron basis functions for these strongly correlated systems, and analyze the energy convergence with respect to the quality of the Jastrow factor. The HF calculations employ spherical Gaussian functions (SGFs) which are the curved-space analogs of ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02491","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":"2026-05-18T01:34:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zvInBNQKRnUwX2nbJIOE9XN/leQG0M1wmZgkDhSMEmxLpxf7IX81HVpfPpq7OWRS8YfYqAfvo2gd8r4zzIatBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:20:12.685291Z"},"content_sha256":"4d5f5b19f1e605112d3e3792aae41104d14456b1bb81fb520b6d75a35555f411","schema_version":"1.0","event_id":"sha256:4d5f5b19f1e605112d3e3792aae41104d14456b1bb81fb520b6d75a35555f411"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/bundle.json","state_url":"https://pith.science/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/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":"2026-06-09T19:20:12Z","links":{"resolver":"https://pith.science/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2","bundle":"https://pith.science/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/bundle.json","state":"https://pith.science/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFKUJF3GVGPXNCX7C5LE5MV5X2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VFKUJF3GVGPXNCX7C5LE5MV5X2","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":"d9bcc9b4f75669b137b7d5695e2bfd12e4f786f9399d344929746b03ca608772","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-08-11T05:52:36Z","title_canon_sha256":"fafa419f0f268ab3a5f475c4fc6de4ee82fc21daf452cf2e358a52c50ecbd46b"},"schema_version":"1.0","source":{"id":"1508.02491","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.02491","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"arxiv_version","alias_value":"1508.02491v2","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.02491","created_at":"2026-05-18T01:34:44Z"},{"alias_kind":"pith_short_12","alias_value":"VFKUJF3GVGPX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VFKUJF3GVGPXNCX7","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VFKUJF3G","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:4d5f5b19f1e605112d3e3792aae41104d14456b1bb81fb520b6d75a35555f411","target":"graph","created_at":"2026-05-18T01:34:44Z","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":"By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin electrons on a three-dimensional sphere (3-sphere), i.e.~the surface of a four-dimensional ball. In the VMC calculations, we compare the efficacies of two types of one-electron basis functions for these strongly correlated systems, and analyze the energy convergence with respect to the quality of the Jastrow factor. The HF calculations employ spherical Gaussian functions (SGFs) which are the curved-space analogs of ca","authors_text":"Anneke L. Knol, Davids Agboola, Peter M. W. Gill, Pierre-Fran\\c{c}ois Loos","cross_cats":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-08-11T05:52:36Z","title":"Uniform electron gases: III. Low-density gases on three-dimensional spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.02491","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":"sha256:6ddad04878e4fa37bb55ce9df76a1c0c590de8b14673e493eae986fdc87364b5","target":"record","created_at":"2026-05-18T01:34:44Z","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":"d9bcc9b4f75669b137b7d5695e2bfd12e4f786f9399d344929746b03ca608772","cross_cats_sorted":["cond-mat.other","cond-mat.quant-gas","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2015-08-11T05:52:36Z","title_canon_sha256":"fafa419f0f268ab3a5f475c4fc6de4ee82fc21daf452cf2e358a52c50ecbd46b"},"schema_version":"1.0","source":{"id":"1508.02491","kind":"arxiv","version":2}},"canonical_sha256":"a955449766a99f768aff17564eb2bdbea63924040936639a93bd48d9681d3c43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a955449766a99f768aff17564eb2bdbea63924040936639a93bd48d9681d3c43","first_computed_at":"2026-05-18T01:34:44.870539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:44.870539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5682dOR81C2j25OQBMvZxwy/oL5GaEug8v9/6WILtrudWIDUgQk4J+TWZdJpAtl3KtVcal0CPgHGGicIMTFsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:44.871071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.02491","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ddad04878e4fa37bb55ce9df76a1c0c590de8b14673e493eae986fdc87364b5","sha256:4d5f5b19f1e605112d3e3792aae41104d14456b1bb81fb520b6d75a35555f411"],"state_sha256":"c99c9ce59a08a801ccd2b1b92464c8272e057285231ab09aabb7686e9f4cad63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfpZWeK/0af3JehJDhz8A5aKVXJHJuvnWoo3LvB9j61ilSEb7FrGwqrt/So9llh8MQkQ7fGELRb2ePQZ0FJAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:20:12.689538Z","bundle_sha256":"9104285a538410ab7c5516aec1d6a0777d9d5dc5b18bc87c58696a3d4a277968"}}