{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4M7IK76GAVVGKR3EL6366MVY6S","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":"01564bb63dc7da9a6dc24177984ab69beec273fb1ddf939347df894fcd99f583","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2023-11-09T00:03:11Z","title_canon_sha256":"49c393cc9301d6dd5f08b48ad4f1e744c2a91c00132c6dd971ed90e3318d4877"},"schema_version":"1.0","source":{"id":"2311.05064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.05064","created_at":"2026-07-05T09:58:56Z"},{"alias_kind":"arxiv_version","alias_value":"2311.05064v2","created_at":"2026-07-05T09:58:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.05064","created_at":"2026-07-05T09:58:56Z"},{"alias_kind":"pith_short_12","alias_value":"4M7IK76GAVVG","created_at":"2026-07-05T09:58:56Z"},{"alias_kind":"pith_short_16","alias_value":"4M7IK76GAVVGKR3E","created_at":"2026-07-05T09:58:56Z"},{"alias_kind":"pith_short_8","alias_value":"4M7IK76G","created_at":"2026-07-05T09:58:56Z"}],"graph_snapshots":[{"event_id":"sha256:e9f0f8dc8242289f5ee4a5a568f87a02ab9334b0c80c1c584a2d6ae16f091fac","target":"graph","created_at":"2026-07-05T09:58:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.05064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper concerns the long-standing question of representing (totally) anti-symmetric functions in high dimensions. We propose a new ansatz based on the composition of an odd function with a fixed set of anti-symmetric basis functions. We prove that this ansatz can exactly represent every anti-symmetric and continuous function and the number of basis functions has efficient scaling with respect to dimension (number of particles). The singular locus of the anti-symmetric basis functions is precisely identified.","authors_text":"Jianfeng Lu, Ziang Chen","cross_cats":["physics.comp-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2023-11-09T00:03:11Z","title":"Exact and Efficient Representation of Totally Anti-Symmetric Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.05064","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":"sha256:6e9e10655e5d431edb4226058c392aa89150451794245f73998e27031e53dc44","target":"record","created_at":"2026-07-05T09:58:56Z","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":"01564bb63dc7da9a6dc24177984ab69beec273fb1ddf939347df894fcd99f583","cross_cats_sorted":["physics.comp-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2023-11-09T00:03:11Z","title_canon_sha256":"49c393cc9301d6dd5f08b48ad4f1e744c2a91c00132c6dd971ed90e3318d4877"},"schema_version":"1.0","source":{"id":"2311.05064","kind":"arxiv","version":2}},"canonical_sha256":"e33e857fc6056a6547645fb7ef32b8f4a4a42c81a3253af1d9048152677c2339","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e33e857fc6056a6547645fb7ef32b8f4a4a42c81a3253af1d9048152677c2339","first_computed_at":"2026-07-05T09:58:56.897770Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:58:56.897770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"siDteUA9erJpTT5x9Vu0+anNkD3mZwiES/ZG03aUqj7HXn1pfpmP+tX+pbiUMGenl2E+xgO64k419cDoYfRkBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:58:56.898198Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.05064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e9e10655e5d431edb4226058c392aa89150451794245f73998e27031e53dc44","sha256:e9f0f8dc8242289f5ee4a5a568f87a02ab9334b0c80c1c584a2d6ae16f091fac"],"state_sha256":"3dcc2fc2dffcef7ed1b7ec4ef539f1bc1f7022345140265a3a61108c6f866c62"}