Pith Number

pith:YQWGE5YX

pith:2009:YQWGE5YXYFLO3KJNOGKVUK6GGZ

not attested not anchored not stored refs pending

Estimating Loynes' exponent

Ken R. Duffy, Sean P. Meyn

arxiv:0910.5431 v1 · 2009-10-28 · 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{YQWGE5YXYFLO3KJNOGKVUK6GGZ}

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	2026-05-18T03:13:00.740219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c42c627717c156eda92d71955a2bc6366913e7fd879b07aa7122b1132dc1c0c9

Aliases

arxiv: 0910.5431 · arxiv_version: 0910.5431v1 · doi: 10.48550/arxiv.0910.5431 · pith_short_12: YQWGE5YXYFLO · pith_short_16: YQWGE5YXYFLO3KJN · pith_short_8: YQWGE5YX

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/YQWGE5YXYFLO3KJNOGKVUK6GGZ \
  | 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: c42c627717c156eda92d71955a2bc6366913e7fd879b07aa7122b1132dc1c0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d8e90e713ad0876ec2b2c92e44789ad824aea838a5719dde3995ad234e97e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-28T16:53:14Z",
    "title_canon_sha256": "5361ed1cbc4098e3ae7afbb48ba2f51b8e845518456300bcb7a82b7a0a0ec327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5431",
    "kind": "arxiv",
    "version": 1
  }
}