Pith Number

pith:EPAGNRDN

pith:2022:EPAGNRDNYK4HB6JSHMTXJEKQDO

not attested not anchored not stored refs pending

Complex systems in Ecology: a guided tour with large Lotka-Volterra models and random matrices

Fran\c{c}ois Massol, Imane Akjouj, Jamal Najim, Matthieu Barbier, Maxime Clenet, Myl\`ene Ma\"ida, Viet Chi Tran, Walid Hachem

arxiv:2212.06136 v1 · 2022-12-12 · q-bio.PE · 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{EPAGNRDNYK4HB6JSHMTXJEKQDO}

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	2026-07-05T05:24:23.154577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c066c46dc2b870f9323b277491501b87b2175c5e201eaedde8a6e8279ebc09

Aliases

arxiv: 2212.06136 · arxiv_version: 2212.06136v1 · doi: 10.48550/arxiv.2212.06136 · pith_short_12: EPAGNRDNYK4H · pith_short_16: EPAGNRDNYK4HB6JS · pith_short_8: EPAGNRDN

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/EPAGNRDNYK4HB6JSHMTXJEKQDO \
  | 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: 23c066c46dc2b870f9323b277491501b87b2175c5e201eaedde8a6e8279ebc09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255ebfc9bf3739b1ec2a37e76948b6eaba1ba518b34dfddaabc75fce53b74979",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2022-12-12T18:59:57Z",
    "title_canon_sha256": "16761eb4cd8ff703a35566f7b58fddb6ccab4929170c4967f818dbf5761cd09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.06136",
    "kind": "arxiv",
    "version": 1
  }
}