Pith Number

pith:2GJ4OXTY

pith:2011:2GJ4OXTYDILDZVHPWGZNLOTLG6

not attested not anchored not stored refs pending

Mean field mutation dynamics and the continuous Luria-Delbr\"uck distribution

Eugene Kashdan, Lorenzo Pareschi

arxiv:1112.2836 v1 · 2011-12-13 · math-ph · math.MP · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GJ4OXTYDILDZVHPWGZNLOTLG6}

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	2026-05-18T04:06:32.314255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d193c75e781a163cd4efb1b2d5ba6b379da7ed1b4cdf9deb809f3b5e55135581

Aliases

arxiv: 1112.2836 · arxiv_version: 1112.2836v1 · doi: 10.48550/arxiv.1112.2836 · pith_short_12: 2GJ4OXTYDILD · pith_short_16: 2GJ4OXTYDILDZVHP · pith_short_8: 2GJ4OXTY

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/2GJ4OXTYDILDZVHPWGZNLOTLG6 \
  | 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: d193c75e781a163cd4efb1b2d5ba6b379da7ed1b4cdf9deb809f3b5e55135581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5504ae44c5d8707e5ac0d47338a87256f363b56e4b373d6e73229a5a4898db",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-13T09:48:05Z",
    "title_canon_sha256": "b9184ad45be6f406c259e2a9768cd7b74e9778bf3ff93755dce659dba8d5173d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2836",
    "kind": "arxiv",
    "version": 1
  }
}