Pith Number

pith:LUA3PCQZ

pith:2012:LUA3PCQZCZ2C2HB7AXLXLSJTXS

not attested not anchored not stored refs pending

Lyapunov exponents of random walks in small random potential: the lower bound

Jean-Christophe Mourrat, Thomas Mountford

arxiv:1206.6568 v1 · 2012-06-28 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUA3PCQZCZ2C2HB7AXLXLSJTXS}

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	2026-05-18T01:56:41.020203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d01b78a1916742d1c3f05d775c933bc8a9c4efc320829e29eaeb14fd0c24b55

Aliases

arxiv: 1206.6568 · arxiv_version: 1206.6568v1 · doi: 10.48550/arxiv.1206.6568 · pith_short_12: LUA3PCQZCZ2C · pith_short_16: LUA3PCQZCZ2C2HB7 · pith_short_8: LUA3PCQZ

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/LUA3PCQZCZ2C2HB7AXLXLSJTXS \
  | 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: 5d01b78a1916742d1c3f05d775c933bc8a9c4efc320829e29eaeb14fd0c24b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf84c9c91b0fc2d54c0af8c2215d38ac240c09a8673827d148a6d59803702cbd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-28T06:04:13Z",
    "title_canon_sha256": "7826c9376de2bdda732bfdbfbaaa68a531da2afbcd278424cb4c5f8410fce044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6568",
    "kind": "arxiv",
    "version": 1
  }
}