Pith Number

pith:GFMTQQ4Y

pith:2014:GFMTQQ4YQ4BB4D4KWVVR6REH3H

not attested not anchored not stored refs pending

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

Jean-Christophe Mourrat, Thomas Mountford

arxiv:1404.7051 v1 · 2014-04-28 · 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{GFMTQQ4YQ4BB4D4KWVVR6REH3H}

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	2026-05-18T02:53:05.284128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315938439887021e0f8ab56b1f4487d9f1622b71ac94d3a06e072b763892e336

Aliases

arxiv: 1404.7051 · arxiv_version: 1404.7051v1 · doi: 10.48550/arxiv.1404.7051 · pith_short_12: GFMTQQ4YQ4BB · pith_short_16: GFMTQQ4YQ4BB4D4K · pith_short_8: GFMTQQ4Y

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/GFMTQQ4YQ4BB4D4KWVVR6REH3H \
  | 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: 315938439887021e0f8ab56b1f4487d9f1622b71ac94d3a06e072b763892e336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31947bbb6624e85ae863507d44cf4e0a388e749d716d4680c512bc507a3e6fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-28T16:45:41Z",
    "title_canon_sha256": "13a8d7458b55501474bec48556df3a3ee7f8d0a4c79f4c2d19a75225ac8e2614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7051",
    "kind": "arxiv",
    "version": 1
  }
}