Pith Number

pith:3MNXLI6X

pith:2011:3MNXLI6XP77QSTQSNW73HY5S45

not attested not anchored not stored refs pending

Recent results on branching random walks

Daniela Bertacchi, Fabio Zucca

arxiv:1104.5085 v3 · 2011-04-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MNXLI6XP77QSTQSNW73HY5S45}

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.

Cited by

1 paper in Pith

Stochastic dynamics at the back of a gene drive propagation wave

Receipt and verification

First computed	2026-05-18T00:16:51.101449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1b75a3d77fff094e126dbfb3e3b2e7707b39b5355ab9c3fc68fa01b376f285

Aliases

arxiv: 1104.5085 · arxiv_version: 1104.5085v3 · doi: 10.48550/arxiv.1104.5085 · pith_short_12: 3MNXLI6XP77Q · pith_short_16: 3MNXLI6XP77QSTQS · pith_short_8: 3MNXLI6X

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/3MNXLI6XP77QSTQSNW73HY5S45 \
  | 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: db1b75a3d77fff094e126dbfb3e3b2e7707b39b5355ab9c3fc68fa01b376f285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b73a0205a223f2d05be75c824d70e8fdaf7650307910a3d7cafb57085e92045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-27T08:16:56Z",
    "title_canon_sha256": "05fa06a6da83ff1b38c66264a96d32d2665084847a4d8850ba3e3e81b790a9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5085",
    "kind": "arxiv",
    "version": 3
  }
}