Pith Number

pith:BQWSP3EO

pith:2017:BQWSP3EOFVBJZQMN3WMYPRNQFG

not attested not anchored not stored refs pending

Factorized duality, stationary product measures and generating functions

Federico Sau, Frank Redig

arxiv:1702.07237 v2 · 2017-02-23 · 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{BQWSP3EOFVBJZQMN3WMYPRNQFG}

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	2026-05-18T00:09:31.384757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c2d27ec8e2d429cc18ddd9987c5b029a68813454feaa3457c258db64ebb47c6

Aliases

arxiv: 1702.07237 · arxiv_version: 1702.07237v2 · doi: 10.48550/arxiv.1702.07237 · pith_short_12: BQWSP3EOFVBJ · pith_short_16: BQWSP3EOFVBJZQMN · pith_short_8: BQWSP3EO

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/BQWSP3EOFVBJZQMN3WMYPRNQFG \
  | 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: 0c2d27ec8e2d429cc18ddd9987c5b029a68813454feaa3457c258db64ebb47c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a5b8317f46ba6effa74a59ca8a9fdbba655ed34cc5bba64b1b897165f3076d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-23T14:45:33Z",
    "title_canon_sha256": "452efaf57dd695490fbfd5f9efffd0aa5d367380f1cf9ce98130c3e0b261cd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07237",
    "kind": "arxiv",
    "version": 2
  }
}