Pith Number

pith:W3YNFN65

pith:2009:W3YNFN65PKYN4VTXUE4DCTYWZQ

not attested not anchored not stored refs pending

Pointwise estimates and exponential laws in metastable systems via coupling methods

Alessandra Bianchi, Anton Bovier, Dmitry Ioffe

arxiv:0909.1242 v4 · 2009-09-07 · 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{W3YNFN65PKYN4VTXUE4DCTYWZQ}

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	2026-05-18T03:44:47.595358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f0d2b7dd7ab0de5677a138314f16cc3ff3e63a49340c10ce688f4b8a486778

Aliases

arxiv: 0909.1242 · arxiv_version: 0909.1242v4 · doi: 10.48550/arxiv.0909.1242 · pith_short_12: W3YNFN65PKYN · pith_short_16: W3YNFN65PKYN4VTX · pith_short_8: W3YNFN65

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/W3YNFN65PKYN4VTXUE4DCTYWZQ \
  | 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: b6f0d2b7dd7ab0de5677a138314f16cc3ff3e63a49340c10ce688f4b8a486778

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513e6088941ebae79d17948f858b1dc89f3caa2d3224d07ef36de397be4f37ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-07T13:02:51Z",
    "title_canon_sha256": "12ffb7dcab1b1d2585dc931291242bca82aa9510bfc148cbca07a2ba43737994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1242",
    "kind": "arxiv",
    "version": 4
  }
}