Pith Number

pith:GCW5MX2L

pith:2011:GCW5MX2LFBTLP55YSHXRVZZMLP

not attested not anchored not stored refs pending

Random walk in random environment in a two-dimensional stratified medium with orientations

Alexis Devulder (LM-Versailles), Francoise Pene (LM)

arxiv:1110.4865 v2 · 2011-10-21 · 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{GCW5MX2LFBTLP55YSHXRVZZMLP}

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	2026-05-18T03:40:03.323065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30add65f4b2866b7f7b891ef1ae72c5bda5253c87d67d3947202059a71078131

Aliases

arxiv: 1110.4865 · arxiv_version: 1110.4865v2 · doi: 10.48550/arxiv.1110.4865 · pith_short_12: GCW5MX2LFBTL · pith_short_16: GCW5MX2LFBTLP55Y · pith_short_8: GCW5MX2L

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/GCW5MX2LFBTLP55YSHXRVZZMLP \
  | 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: 30add65f4b2866b7f7b891ef1ae72c5bda5253c87d67d3947202059a71078131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1813deb77e692e5308cfd55044e2ad89e3e694be4e417e6969fc8353409f6dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-21T18:47:05Z",
    "title_canon_sha256": "62b92f9710aa2d01326a36d51df365b842328a620c83e3c9d0b7711b0a34d443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4865",
    "kind": "arxiv",
    "version": 2
  }
}