Pith Number

pith:ZFJARJSE

pith:2021:ZFJARJSEFWVZF7EO7QACLQOWDS

not attested not anchored not stored refs pending

Tree convolution for probability distributions with unbounded support

David Jekel, Ethan Davis, Zhichao Wang

arxiv:2102.01214 v2 · 2021-02-01 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFJARJSEFWVZF7EO7QACLQOWDS}

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	2026-07-05T02:31:04.017531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95208a6442dab92fc8efc0025c1d61c8cec280e115fc7068e8be0ad044e9244

Aliases

arxiv: 2102.01214 · arxiv_version: 2102.01214v2 · doi: 10.48550/arxiv.2102.01214 · pith_short_12: ZFJARJSEFWVZ · pith_short_16: ZFJARJSEFWVZF7EO · pith_short_8: ZFJARJSE

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/ZFJARJSEFWVZF7EO7QACLQOWDS \
  | 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: c95208a6442dab92fc8efc0025c1d61c8cec280e115fc7068e8be0ad044e9244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98bd159e1c8ed2086799dc3f150ac435bef4e26a2f8c479616ca86412d2248f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-02-01T22:34:33Z",
    "title_canon_sha256": "c207c2c3adb0fa6eaace6a05e5e422af85666fe4a163eb0f896288c2a4e311a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01214",
    "kind": "arxiv",
    "version": 2
  }
}