Pith Number

pith:NDKJVROH

pith:2015:NDKJVROHS4PUID76C7QP7IPYNY

not attested not anchored not stored refs pending

Persistence exponent for random walk on directed versions of $Z^2$

Fran\c{c}oise P\`ene, Nadine Guillotin-Plantard

arxiv:1508.07144 v1 · 2015-08-28 · 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{NDKJVROHS4PUID76C7QP7IPYNY}

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	2026-05-18T01:34:36.787859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d49ac5c7971f440ffe17e0ffa1f86e38eac32357ed1f3a89e9138920832493

Aliases

arxiv: 1508.07144 · arxiv_version: 1508.07144v1 · doi: 10.48550/arxiv.1508.07144 · pith_short_12: NDKJVROHS4PU · pith_short_16: NDKJVROHS4PUID76 · pith_short_8: NDKJVROH

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/NDKJVROHS4PUID76C7QP7IPYNY \
  | 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: 68d49ac5c7971f440ffe17e0ffa1f86e38eac32357ed1f3a89e9138920832493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac3122b33631fb89906d0ea811dfceced13f3a167d38ef417789bf4dc4df07e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T09:31:17Z",
    "title_canon_sha256": "07a8ffd24323d6fb39c274eb72969142fe091406ce3ab2643da6357f35ecb293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07144",
    "kind": "arxiv",
    "version": 1
  }
}