Pith. sign in
Pith Number

pith:OXCTYIG2

pith:2022:OXCTYIG2RWK6XEHPJFEC322PVF
not attested not anchored not stored refs pending

Branching with selection and mutation I: Mutant fitness of Fr\'echet type

Joachim Krug, L\'eo Touzo, Peter M\"orters, Su-Chan Park

arxiv:2212.02631 v1 · 2022-12-05 · math.PR · cond-mat.stat-mech · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OXCTYIG2RWK6XEHPJFEC322PVF}

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 2026-07-05T06:29:34.826922Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

75c53c20da8d95eb90ef49482deb4fa971ee76e6de62b408e443d4ab746320e8

Aliases

arxiv: 2212.02631 · arxiv_version: 2212.02631v1 · doi: 10.48550/arxiv.2212.02631 · pith_short_12: OXCTYIG2RWK6 · pith_short_16: OXCTYIG2RWK6XEHP · pith_short_8: OXCTYIG2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OXCTYIG2RWK6XEHPJFEC322PVF \
  | 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: 75c53c20da8d95eb90ef49482deb4fa971ee76e6de62b408e443d4ab746320e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "29394383708a0637ed1f8813ed3c5ff858367d052d382ffee4e7689e2b878d71",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-12-05T22:27:10Z",
    "title_canon_sha256": "77f23aa3a58222a1407dff54d5655f128b9de46d2593eb963e0b82684a5d5497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02631",
    "kind": "arxiv",
    "version": 1
  }
}