Pith Number

pith:UTAGO3ZE

pith:2009:UTAGO3ZERAHUAYB3T4DHI5XOKY

not attested not anchored not stored refs pending

Most likely paths to error when estimating the mean of a reflected random walk

Ken R. Duffy, Sean P. Meyn

arxiv:0906.4514 v3 · 2009-06-24 · 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{UTAGO3ZERAHUAYB3T4DHI5XOKY}

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	2026-05-18T04:38:14.431181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c0676f24880f40603b9f067476ee563ef2a557f54574785e6edcd50c188abf

Aliases

arxiv: 0906.4514 · arxiv_version: 0906.4514v3 · doi: 10.48550/arxiv.0906.4514 · pith_short_12: UTAGO3ZERAHU · pith_short_16: UTAGO3ZERAHUAYB3 · pith_short_8: UTAGO3ZE

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/UTAGO3ZERAHUAYB3T4DHI5XOKY \
  | 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: a4c0676f24880f40603b9f067476ee563ef2a557f54574785e6edcd50c188abf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7766475aaba5fcd01e4ff99a49ec36905a6a3aff1a42b623af8e764a06597082",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-24T16:27:13Z",
    "title_canon_sha256": "fe5e9070fd4e9306cdde7a1575a8779008c0de0246cd87f4e05204bbd9923655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4514",
    "kind": "arxiv",
    "version": 3
  }
}