Pith Number

pith:3Y2UPC33

pith:2021:3Y2UPC333N4OMZZ3J5P3IJWXWR

not attested not anchored not stored refs pending

Feasibility of sparse large Lotka-Volterra ecosystems

Imane Akjouj, Jamal Najim (CNRS)

arxiv:2111.11247 v1 · 2021-11-22 · 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{3Y2UPC333N4OMZZ3J5P3IJWXWR}

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	2026-07-05T03:34:01.269593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de35478b7bdb78e6673b4f5fb426d7b46f4725a97ca82d268700216513de57a4

Aliases

arxiv: 2111.11247 · arxiv_version: 2111.11247v1 · doi: 10.48550/arxiv.2111.11247 · pith_short_12: 3Y2UPC333N4O · pith_short_16: 3Y2UPC333N4OMZZ3 · pith_short_8: 3Y2UPC33

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/3Y2UPC333N4OMZZ3J5P3IJWXWR \
  | 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: de35478b7bdb78e6673b4f5fb426d7b46f4725a97ca82d268700216513de57a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576c3ca472d7fb91a1c1ad3272893ecb0d91df13ff3145d7bcbb0e9750d1d991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-22T14:52:19Z",
    "title_canon_sha256": "d4c5b898f76bebfcf4c9fd34e512c2e6c0e71ca005d8aa2d30dfdfb283fbb3bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11247",
    "kind": "arxiv",
    "version": 1
  }
}