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Pith Number

pith:ZBB2FNFP

pith:2011:ZBB2FNFPUINEGAWW2DRQNALONX
not attested not anchored not stored refs pending

A two cities theorem for the parabolic Anderson model

Hubert Lacoin, Nadia Sidorova, Peter M\"orters, Wolfgang K\"onig

arxiv:1102.4921 v1 · 2011-02-24 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZBB2FNFPUINEGAWW2DRQNALONX}

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 2026-05-18T04:27:58.463488Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c843a2b4afa21a4302d6d0e306816e6de53c083e7dab8daaa28ff38ec8e279ee

Aliases

arxiv: 1102.4921 · arxiv_version: 1102.4921v1 · doi: 10.48550/arxiv.1102.4921 · pith_short_12: ZBB2FNFPUINE · pith_short_16: ZBB2FNFPUINEGAWW · pith_short_8: ZBB2FNFP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZBB2FNFPUINEGAWW2DRQNALONX \
  | 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: c843a2b4afa21a4302d6d0e306816e6de53c083e7dab8daaa28ff38ec8e279ee
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f825db36c7ea766429388f45e4c4f3ae29221e2f17b741f0314bd678d946b14d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-24T08:07:19Z",
    "title_canon_sha256": "87b6ca230e0aced35dfde843abce068076235f6a2a0e5e86762eb2a825e4a4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4921",
    "kind": "arxiv",
    "version": 1
  }
}