Pith Number

pith:VEBXHP2M

pith:2013:VEBXHP2MZRYBPF647BOALEQJPF

not attested not anchored not stored refs pending

Extinction time for a random walk in a random environment

Anna De Masi, Dimitrios Tsagkarogiannis, Errico Presutti, Maria Eulalia Vares

arxiv:1304.0622 v3 · 2013-04-02 · 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{VEBXHP2MZRYBPF647BOALEQJPF}

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	2026-05-18T01:36:15.897672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90373bf4ccc701797dcf85c05920979741e49d7e7ec1f158f0997d5b237f7e1

Aliases

arxiv: 1304.0622 · arxiv_version: 1304.0622v3 · doi: 10.48550/arxiv.1304.0622 · pith_short_12: VEBXHP2MZRYB · pith_short_16: VEBXHP2MZRYBPF64 · pith_short_8: VEBXHP2M

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/VEBXHP2MZRYBPF647BOALEQJPF \
  | 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: a90373bf4ccc701797dcf85c05920979741e49d7e7ec1f158f0997d5b237f7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddac447d104faa087846a8b35ada243ebb79f5c4998aaa2ac8cd487aa49c721b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-02T13:25:41Z",
    "title_canon_sha256": "f74f6d5402a737d2f596d5cc85800fa44fdedd212cb5d30c9b11863dc0d610d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0622",
    "kind": "arxiv",
    "version": 3
  }
}