Pith Number

pith:65CESEZE

pith:2026:65CESEZE2HW7S67B5PNYN5UOVW

not attested not anchored not stored refs pending

Any-Dimensional Learning by Sampling

Eitan Levin, Venkat Chandrasekaran

arxiv:2607.07680 v1 · 2026-07-08 · math.ST · cs.LG · math.PR · 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{65CESEZE2HW7S67B5PNYN5UOVW}

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	2026-07-09T01:20:38.924254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f744491324d1edf97be1ebdb86f68ead97244a19002f91d16cef4a7646ec90de

Aliases

arxiv: 2607.07680 · arxiv_version: 2607.07680v1 · doi: 10.48550/arxiv.2607.07680 · pith_short_12: 65CESEZE2HW7 · pith_short_16: 65CESEZE2HW7S67B · pith_short_8: 65CESEZE

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/65CESEZE2HW7S67B5PNYN5UOVW \
  | 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: f744491324d1edf97be1ebdb86f68ead97244a19002f91d16cef4a7646ec90de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf07bb74d98715a975559b84db3035e190ae7d512658580ea44e9968cb02e4ff",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-08T17:38:29Z",
    "title_canon_sha256": "b8be450d6691360dfedf8a6010648f2124143453567c4a70f6e2e7189e075ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07680",
    "kind": "arxiv",
    "version": 1
  }
}