Pith Number

pith:EBJWIZP5

pith:2013:EBJWIZP5D4OFSMSU57V3QZH5PF

not attested not anchored not stored refs pending

The parabolic Anderson model in a dynamic random environment: space-time ergodicity for the quenched Lyapunov exponent

Dirk Erhard, Frank den Hollander, Gregory Maillard

arxiv:1304.2274 v2 · 2013-04-08 · 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{EBJWIZP5D4OFSMSU57V3QZH5PF}

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	2026-05-18T03:18:40.043292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20536465fd1f1c593254efebb864fd79649e3fbd6ccb3c81a8a1730f3118339a

Aliases

arxiv: 1304.2274 · arxiv_version: 1304.2274v2 · doi: 10.48550/arxiv.1304.2274 · pith_short_12: EBJWIZP5D4OF · pith_short_16: EBJWIZP5D4OFSMSU · pith_short_8: EBJWIZP5

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/EBJWIZP5D4OFSMSU57V3QZH5PF \
  | 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: 20536465fd1f1c593254efebb864fd79649e3fbd6ccb3c81a8a1730f3118339a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062f6dec5899729dd3e78401743ee35b69ef560b19141dec2b0b7fac538fc8cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-08T17:21:26Z",
    "title_canon_sha256": "707371ae6c3a01422cddae7700031b9cdac1a201d481302c4145b9bee2c16741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2274",
    "kind": "arxiv",
    "version": 2
  }
}