Pith Number

pith:QMWKDKH6

pith:2011:QMWKDKH66PPCNQHYSZ6A5ZHXSB

not attested not anchored not stored refs pending

Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise

Chujin Li, Jian Ren, Jinqiao Duan, Ting Gao, Xingye Kan

arxiv:1111.6540 v1 · 2011-11-28 · math.DS · physics.bio-ph · q-bio.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMWKDKH66PPCNQHYSZ6A5ZHXSB}

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	2026-05-18T00:54:42.067589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

832ca1a8fef3de26c0f8967c0ee4f7904edb84461d890115f43b5b4fa4af1eff

Aliases

arxiv: 1111.6540 · arxiv_version: 1111.6540v1 · doi: 10.48550/arxiv.1111.6540 · pith_short_12: QMWKDKH66PPC · pith_short_16: QMWKDKH66PPCNQHY · pith_short_8: QMWKDKH6

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/QMWKDKH66PPCNQHYSZ6A5ZHXSB \
  | 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: 832ca1a8fef3de26c0f8967c0ee4f7904edb84461d890115f43b5b4fa4af1eff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff07717400fbc8609a410a361b03f22b98df43b2e8f0ce0257d0f67d57e2487e",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-28T18:37:26Z",
    "title_canon_sha256": "8a9a1bdceb9a2060f0949a594987ad302c60c5c0b20d3881be13e1ef168d1161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6540",
    "kind": "arxiv",
    "version": 1
  }
}