Pith Number

pith:VYCQCX5H

pith:2008:VYCQCX5HNMO43W3PHRZWM7XGDL

not attested not anchored not stored refs pending

Series Jackson networks and non-crossing probabilities

A.B. Dieker, J. Warren

arxiv:0808.0513 v3 · 2008-08-04 · 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{VYCQCX5HNMO43W3PHRZWM7XGDL}

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	2026-05-18T04:18:15.462238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae05015fa76b1dcddb6f3c73667ee61ac7930ba44c70ecda152ae4da6eb1f277

Aliases

arxiv: 0808.0513 · arxiv_version: 0808.0513v3 · doi: 10.48550/arxiv.0808.0513 · pith_short_12: VYCQCX5HNMO4 · pith_short_16: VYCQCX5HNMO43W3P · pith_short_8: VYCQCX5H

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/VYCQCX5HNMO43W3PHRZWM7XGDL \
  | 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: ae05015fa76b1dcddb6f3c73667ee61ac7930ba44c70ecda152ae4da6eb1f277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b0f1ac73aa82f1d38dde3fab6f4e22dfafa1904f0efa8fe63b4e8c06b7a596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-08-04T21:15:04Z",
    "title_canon_sha256": "7ba1397737c5126b447ba089f6c8b9a3cf670eb1a2258e663558fa768aa06c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0513",
    "kind": "arxiv",
    "version": 3
  }
}