Pith Number

pith:YNV3JFYY

pith:2012:YNV3JFYYBJHAAUKBDUQJJ7X3PP

not attested not anchored not stored refs pending

Escape Rates Formulae and Metastability for Randomly perturbed maps

Sandro Vaienti, Wael Bahsoun

arxiv:1206.3654 v5 · 2012-06-16 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNV3JFYYBJHAAUKBDUQJJ7X3PP}

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	2026-05-18T01:56:52.216029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36bb497180a4e0051411d2094fefb7bfd9095052532e94cc16fb86364b26c1a

Aliases

arxiv: 1206.3654 · arxiv_version: 1206.3654v5 · doi: 10.48550/arxiv.1206.3654 · pith_short_12: YNV3JFYYBJHA · pith_short_16: YNV3JFYYBJHAAUKB · pith_short_8: YNV3JFYY

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/YNV3JFYYBJHAAUKBDUQJJ7X3PP \
  | 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: c36bb497180a4e0051411d2094fefb7bfd9095052532e94cc16fb86364b26c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02819bef225781a117b894e5e6c739b3f6a5b318aa1820a128d9021268852ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-16T09:54:14Z",
    "title_canon_sha256": "bf90033a8ef8977c7e68b39c2f952c5ca216e4a05e8457ade97ea007c9bc9237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3654",
    "kind": "arxiv",
    "version": 5
  }
}