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Pith Number

pith:RXWAG47R

pith:2013:RXWAG47R75P75D7S3P6Z3ZAWUL
not attested not anchored not stored refs pending

A Markov chain model of evolution in asexually reproducing populations: insight and analytical tractability in the evolutionary process

Alexander R.A. Anderson, Daniel Nichol, Jacob G. Scott, Jerome L. Paul, Peter Jeavons, Philip K. Maini, Robert A. Gatenby, Robert Bonomo

arxiv:1301.4193 v1 · 2013-01-17 · q-bio.PE · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RXWAG47R75P75D7S3P6Z3ZAWUL}

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 2026-05-18T03:36:06.973065Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8dec0373f1ff5ffe8ff2dbfd9de416a2df9b28e60607f17ab743c1c0e67f3ba3

Aliases

arxiv: 1301.4193 · arxiv_version: 1301.4193v1 · doi: 10.48550/arxiv.1301.4193 · pith_short_12: RXWAG47R75P7 · pith_short_16: RXWAG47R75P75D7S · pith_short_8: RXWAG47R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RXWAG47R75P75D7S3P6Z3ZAWUL \
  | 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: 8dec0373f1ff5ffe8ff2dbfd9de416a2df9b28e60607f17ab743c1c0e67f3ba3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c15ed65c6dbaf45bec04f21b6419688d285f4294b06f8a520375fb647c61f12",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-01-17T19:25:29Z",
    "title_canon_sha256": "e0935a2a8d1ac58ebc5d7233f7156084a09d324d64db22b4d8adafadcdf25423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4193",
    "kind": "arxiv",
    "version": 1
  }
}