Pith Number

pith:V2YIQZMD

pith:2014:V2YIQZMDVB2HSV5QVBK5HWYNMX

not attested not anchored not stored refs pending

Matrix Dufresne Identity

Benedek Valko, Brian Rider

arxiv:1409.1954 v1 · 2014-09-05 · 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{V2YIQZMDVB2HSV5QVBK5HWYNMX}

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	2026-05-18T02:43:18.344740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb0886583a8747957b0a855d3db0d65cbc6c589cf5991321d4b400b4fa5071b

Aliases

arxiv: 1409.1954 · arxiv_version: 1409.1954v1 · doi: 10.48550/arxiv.1409.1954 · pith_short_12: V2YIQZMDVB2H · pith_short_16: V2YIQZMDVB2HSV5Q · pith_short_8: V2YIQZMD

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/V2YIQZMDVB2HSV5QVBK5HWYNMX \
  | 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: aeb0886583a8747957b0a855d3db0d65cbc6c589cf5991321d4b400b4fa5071b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00aba0d95d7b2f07594d96020c1765fffe98a90f86b6feee60b0ad1add23913e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-05T21:43:14Z",
    "title_canon_sha256": "44d324862d0206d55eb3f435e54e211954f5949f154ebe8278d97f321bff11af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1954",
    "kind": "arxiv",
    "version": 1
  }
}