Pith Number

pith:FT2LX6QN

pith:2012:FT2LX6QNLT2IVD3PCKEIEKF6I6

not attested not anchored not stored refs pending

Sharp estimates for metastable lifetimes in parabolic SPDEs: Kramers' law and beyond

Barbara Gentz, Nils Berglund

arxiv:1202.0990 v2 · 2012-02-05 · 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{FT2LX6QNLT2IVD3PCKEIEKF6I6}

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	2026-05-18T03:33:26.343695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf4bbfa0d5cf48a8f6f12888228be47af8b2eded06bec9d2f59a26cd73286b2

Aliases

arxiv: 1202.0990 · arxiv_version: 1202.0990v2 · doi: 10.48550/arxiv.1202.0990 · pith_short_12: FT2LX6QNLT2I · pith_short_16: FT2LX6QNLT2IVD3P · pith_short_8: FT2LX6QN

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/FT2LX6QNLT2IVD3PCKEIEKF6I6 \
  | 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: 2cf4bbfa0d5cf48a8f6f12888228be47af8b2eded06bec9d2f59a26cd73286b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204eb64698d6d1078c040b31ce232ab403800d34d26ec547b8efd8942b1e69cb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-05T18:41:40Z",
    "title_canon_sha256": "31169e55b3f2f199e1e89077f5feff6bbe46ab24a95f8788ac01bc751af12fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0990",
    "kind": "arxiv",
    "version": 2
  }
}