Pith Number

pith:K4LQHYH5

pith:2010:K4LQHYH5DZO2TLPGTPUMWB6HYP

not attested not anchored not stored refs pending

Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential

Naomasa Ueki, Ryoki Fukushima

arxiv:1012.2507 v1 · 2010-12-12 · 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{K4LQHYH5DZO2TLPGTPUMWB6HYP}

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	2026-05-18T04:33:28.479636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571703e0fd1e5da9ade69be8cb07c7c3e5daf3f796166d0391a14469714d45ee

Aliases

arxiv: 1012.2507 · arxiv_version: 1012.2507v1 · doi: 10.48550/arxiv.1012.2507 · pith_short_12: K4LQHYH5DZO2 · pith_short_16: K4LQHYH5DZO2TLPG · pith_short_8: K4LQHYH5

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/K4LQHYH5DZO2TLPGTPUMWB6HYP \
  | 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: 571703e0fd1e5da9ade69be8cb07c7c3e5daf3f796166d0391a14469714d45ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fbe2323b81080d78e35d67b9a75c70f0f876641216770bb85a650af97c0940",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-12T04:38:53Z",
    "title_canon_sha256": "8247ebca205aef0590d1007a93b754c803888755a7f873d0aa0db12fce557d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2507",
    "kind": "arxiv",
    "version": 1
  }
}