Pith Number

pith:APW75K6H

pith:2015:APW75K6HTBLUGJFBWVYBERGBDZ

not attested not anchored not stored refs pending

The interplay of two mutations in a population of varying size: a stochastic eco-evolutionary model for clonal interference

Charline Smadi, Sylvain Billiard

arxiv:1505.04550 v1 · 2015-05-18 · 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{APW75K6HTBLUGJFBWVYBERGBDZ}

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	2026-05-18T02:07:25.177247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03edfeabc798574324a1b5701244c11e4e7b8e3e4b32fc533a608f966e4bf840

Aliases

arxiv: 1505.04550 · arxiv_version: 1505.04550v1 · doi: 10.48550/arxiv.1505.04550 · pith_short_12: APW75K6HTBLU · pith_short_16: APW75K6HTBLUGJFB · pith_short_8: APW75K6H

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/APW75K6HTBLUGJFBWVYBERGBDZ \
  | 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: 03edfeabc798574324a1b5701244c11e4e7b8e3e4b32fc533a608f966e4bf840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bedcf2399d065c9c1afb28ef94cad2fdad0b78316c0821ebb46e6cc5835c34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-18T08:37:44Z",
    "title_canon_sha256": "0dc9c1024d11ff6387eadb55f8550e2778e476f3b4301c73174b97d787b0011d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04550",
    "kind": "arxiv",
    "version": 1
  }
}