Pith Number

pith:NA3DKXD2

pith:2014:NA3DKXD2B74VASDVYJFN7V2GKK

not attested not anchored not stored refs pending

Explicit solutions for replicator-mutator equations: extinction vs. acceleration

Matthieu Alfaro (I3M), R\'emi Carles (I3M)

arxiv:1405.2768 v1 · 2014-05-12 · math.AP · 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{NA3DKXD2B74VASDVYJFN7V2GKK}

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	2026-07-05T01:59:24.710447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6836355c7a0ff9504875c24adfd746529f5ca17eb4e6771602daf7e3a32c83d1

Aliases

arxiv: 1405.2768 · arxiv_version: 1405.2768v1 · doi: 10.48550/arxiv.1405.2768 · pith_short_12: NA3DKXD2B74V · pith_short_16: NA3DKXD2B74VASDV · pith_short_8: NA3DKXD2

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/NA3DKXD2B74VASDVYJFN7V2GKK \
  | 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: 6836355c7a0ff9504875c24adfd746529f5ca17eb4e6771602daf7e3a32c83d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506a265ad4ef834c3ddddf6893f0eb5490cdb17ead86cacbe04207e06c245ddb",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-12T14:10:44Z",
    "title_canon_sha256": "99e11cfe6232b26781946e307bc488262db1544a368b1a7784999a373d1c574b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2768",
    "kind": "arxiv",
    "version": 1
  }
}