pith. sign in
Pith Number

pith:XDRW45QS

pith:2009:XDRW45QS2LHLLZNVV5AZYTSL5L
not attested not anchored not stored refs pending

A stochastic model of evolution

(2) IME-USP, (3) Math.Dept. UCCS, Brasil, Fabio P. Machado (2), France, Herve Guiol (1), Rinaldo B. Schinazi (3) ((1) TIMC Univ. Grenoble, USA)

arxiv:0909.2108 v2 · 2009-09-11 · math.PR · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XDRW45QS2LHLLZNVV5AZYTSL5L}

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 2026-05-18T04:36:50.386916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b8e36e7612d2ceb5e5b5af419c4e4beac2f819aba29e9719469018f9c48058a5

Aliases

arxiv: 0909.2108 · arxiv_version: 0909.2108v2 · doi: 10.48550/arxiv.0909.2108 · pith_short_12: XDRW45QS2LHL · pith_short_16: XDRW45QS2LHLLZNV · pith_short_8: XDRW45QS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XDRW45QS2LHLLZNVV5AZYTSL5L \
  | 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: b8e36e7612d2ceb5e5b5af419c4e4beac2f819aba29e9719469018f9c48058a5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "88490345b3e031c105a0bd7ace65e2a8d849bea616f3bde8d4be2e79b8e97522",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-11T08:12:14Z",
    "title_canon_sha256": "06039d5eaa68d763486a437f6bf0f7b1abf1aa33ecd8abf33e36528a7ce62d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2108",
    "kind": "arxiv",
    "version": 2
  }
}