Pith Number

pith:PHLE5NBA

pith:2007:PHLE5NBAQHYL5WEQYV4LU4A2IH

not attested not anchored not stored refs pending

Markov processes with product-form stationary distribution

David White, Krzysztof Burdzy

arxiv:0711.0493 v2 · 2007-11-04 · 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{PHLE5NBAQHYL5WEQYV4LU4A2IH}

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	2026-07-04T15:15:11.727806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d64eb42081f0bed890c578ba701a41e78a75f00087b7a1b7df81c39c7da3fc

Aliases

arxiv: 0711.0493 · arxiv_version: 0711.0493v2 · doi: 10.48550/arxiv.0711.0493 · pith_short_12: PHLE5NBAQHYL · pith_short_16: PHLE5NBAQHYL5WEQ · pith_short_8: PHLE5NBA

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/PHLE5NBAQHYL5WEQYV4LU4A2IH \
  | 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: 79d64eb42081f0bed890c578ba701a41e78a75f00087b7a1b7df81c39c7da3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cffc14968f0eb50b31933ef77d4aa0dc1e5c9b00e42867c9ff1868673257cc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-11-04T03:42:55Z",
    "title_canon_sha256": "ab9295939be5413ea1432e23dee9a845eff608c8e0dad56b19f8323a89e19c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0493",
    "kind": "arxiv",
    "version": 2
  }
}