Pith Number

pith:DLE5EN3R

pith:2012:DLE5EN3RKONNKXFN7XSMQ5MCUF

not attested not anchored not stored refs pending

The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent

Dirk Erhard, Frank den Hollander, Gr\'egory Maillard

arxiv:1208.0330 v2 · 2012-08-01 · 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{DLE5EN3RKONNKXFN7XSMQ5MCUF}

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	2026-05-18T03:32:07.796678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac9d23771539ad55cadfde4c87582a14b86b1dcfdc45557782a39fe3bc4d825

Aliases

arxiv: 1208.0330 · arxiv_version: 1208.0330v2 · doi: 10.48550/arxiv.1208.0330 · pith_short_12: DLE5EN3RKONN · pith_short_16: DLE5EN3RKONNKXFN · pith_short_8: DLE5EN3R

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/DLE5EN3RKONNKXFN7XSMQ5MCUF \
  | 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: 1ac9d23771539ad55cadfde4c87582a14b86b1dcfdc45557782a39fe3bc4d825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b23ef5ef1707ff9d059a621de9623c0212802f68fc30a97516de43d3c9acac5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-01T19:58:41Z",
    "title_canon_sha256": "780f8d4adac353a2240278cdef9102aa6d9c4e0de58eb86b90a4b9deb5b4835b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0330",
    "kind": "arxiv",
    "version": 2
  }
}