Pith Number

pith:UBL2LPB4

pith:2026:UBL2LPB4UVAPYZ6RQJ3MG2H2R2

not attested not anchored not stored refs pending

Learning Mixture Models via Efficient High-dimensional Sparse Fourier Transforms

Alkis Kalavasis, Manolis Zampetakis, Pravesh K. Kothari, Shuchen Li

arxiv:2601.05157 v2 · 2026-01-08 · cs.DS · cs.LG · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBL2LPB4UVAPYZ6RQJ3MG2H2R2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-22T01:03:53.717902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a057a5bc3ca540fc67d18276c368fa8ea659808dffc3c50e16d63b2db1ec1098

Aliases

arxiv: 2601.05157 · arxiv_version: 2601.05157v2 · doi: 10.48550/arxiv.2601.05157 · pith_short_12: UBL2LPB4UVAP · pith_short_16: UBL2LPB4UVAPYZ6R · pith_short_8: UBL2LPB4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UBL2LPB4UVAPYZ6RQJ3MG2H2R2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a057a5bc3ca540fc67d18276c368fa8ea659808dffc3c50e16d63b2db1ec1098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34151525789c44ed8041bb900ee89b361a64aa4cdd37cce9c52c8837a28cf766",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-01-08T17:47:58Z",
    "title_canon_sha256": "50a06ea108f32e7c21ea9d8c66c87e574672c68fc5cc3a3a56aa973009a3e545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05157",
    "kind": "arxiv",
    "version": 2
  }
}