Pith Number

pith:VI6ZZNNU

pith:2013:VI6ZZNNU5TTQ4ZM7CTX5D6NPHP

not attested not anchored not stored refs pending

Convergence to the Equilibrium in a Lotka-Volterra Ode Competition System with Mutations

Frederic Fabre, Jerome Coville (BIOSP)

arxiv:1301.6237 v2 · 2013-01-26 · 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{VI6ZZNNU5TTQ4ZM7CTX5D6NPHP}

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	2026-05-18T03:31:33.618720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa3d9cb5b4ece70e659f14efd1f9af3bf4869d564c8bfee247fd4682765ab237

Aliases

arxiv: 1301.6237 · arxiv_version: 1301.6237v2 · doi: 10.48550/arxiv.1301.6237 · pith_short_12: VI6ZZNNU5TTQ · pith_short_16: VI6ZZNNU5TTQ4ZM7 · pith_short_8: VI6ZZNNU

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/VI6ZZNNU5TTQ4ZM7CTX5D6NPHP \
  | 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: aa3d9cb5b4ece70e659f14efd1f9af3bf4869d564c8bfee247fd4682765ab237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a69bf48c8a43acf90b6331fb308a4ea1c6a98d247e7b394810c6c904a2a96c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-26T11:17:55Z",
    "title_canon_sha256": "c877e29ca5e2ffa2b3f3319447b26cc23e878b50eafe16e2596c6511f2f4be0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6237",
    "kind": "arxiv",
    "version": 2
  }
}