Pith Number

pith:GL2D4XYZ

pith:2016:GL2D4XYZFUDQDA46B3HXTZRFMY

not attested not anchored not stored refs pending

Fractional Poisson Fields and Martingales

Ely Merzbach, Giacomo Aletti, Nikolai Leonenko

arxiv:1601.08136 v4 · 2016-01-29 · 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{GL2D4XYZFUDQDA46B3HXTZRFMY}

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	2026-05-18T00:25:02.362143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f43e5f192d0701839e0ecf79e6256632a0e80845e4fdb42ff41b4ed4666e06

Aliases

arxiv: 1601.08136 · arxiv_version: 1601.08136v4 · doi: 10.48550/arxiv.1601.08136 · pith_short_12: GL2D4XYZFUDQ · pith_short_16: GL2D4XYZFUDQDA46 · pith_short_8: GL2D4XYZ

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/GL2D4XYZFUDQDA46B3HXTZRFMY \
  | 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: 32f43e5f192d0701839e0ecf79e6256632a0e80845e4fdb42ff41b4ed4666e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d37443bc08ca4b42b02aa7bace192b3976225f39156a415e8860608798ecd4e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-29T14:45:33Z",
    "title_canon_sha256": "70aa04da713cb082f889fdcde372f065ce33b855f6df6efc3f9f93ae228c7e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08136",
    "kind": "arxiv",
    "version": 4
  }
}