Pith Number

pith:5D52OT3E

pith:2012:5D52OT3E2BWTXOFCFUR6RLS73Y

not attested not anchored not stored refs pending

Evolutionary Stability Against Multiple Mutations

A. J. Shaiju, Anirban Ghatak, K. S. Mallikarjuna Rao

arxiv:1201.2467 v1 · 2012-01-12 · math.OC · 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{5D52OT3E2BWTXOFCFUR6RLS73Y}

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	2026-05-18T03:51:35.572275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fba74f64d06d3bb8a22d23e8ae5fde23ae862b94424d691fd5a45847028120

Aliases

arxiv: 1201.2467 · arxiv_version: 1201.2467v1 · doi: 10.48550/arxiv.1201.2467 · pith_short_12: 5D52OT3E2BWT · pith_short_16: 5D52OT3E2BWTXOFC · pith_short_8: 5D52OT3E

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/5D52OT3E2BWTXOFCFUR6RLS73Y \
  | 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: e8fba74f64d06d3bb8a22d23e8ae5fde23ae862b94424d691fd5a45847028120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a90d4be5f22ab25b6704d3ff4ea1ce31c735da2ad9511d54421436561700d829",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-12T02:57:55Z",
    "title_canon_sha256": "4c99d8c346fe0a79936ca5dfd758521f5e10963c3e4125d07b7cc741c4f48049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2467",
    "kind": "arxiv",
    "version": 1
  }
}