Pith Number

pith:R4XYRVUL

pith:2026:R4XYRVULVXOB4PQ3QYTTU342LZ

not attested not anchored not stored refs pending

Doeblin Curves

Anuran Makur, Dongmin Lee, Japneet Singh, William Lu

arxiv:2606.19859 v1 · 2026-06-18 · cs.IT · cs.LG · math.IT · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4XYRVULVXOB4PQ3QYTTU342LZ}

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	2026-06-19T16:12:37.184914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2f88d68baddc1e3e1b86273a6f9a5e5105cff7b8b9a3178b7e36e414ea4524

Aliases

arxiv: 2606.19859 · arxiv_version: 2606.19859v1 · doi: 10.48550/arxiv.2606.19859 · pith_short_12: R4XYRVULVXOB · pith_short_16: R4XYRVULVXOB4PQ3 · pith_short_8: R4XYRVUL

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/R4XYRVULVXOB4PQ3QYTTU342LZ \
  | 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: 8f2f88d68baddc1e3e1b86273a6f9a5e5105cff7b8b9a3178b7e36e414ea4524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730c03a8c66698ec1e58ce54137fb09eb4b933060e4ecfa7bd1d835de4e3b390",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-18T07:11:43Z",
    "title_canon_sha256": "d49a81ffcd51da0b93e1fc4ccf2872a835a2ed71254029cead3578bf99cd5737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19859",
    "kind": "arxiv",
    "version": 1
  }
}