Pith Number

pith:JH5UKU4H

pith:2010:JH5UKU4HWDADJJRHHWDNFGR53M

not attested not anchored not stored refs pending

The evolutionary limit for models of populations interacting competitively with many resources

JAD), Nicolas Champagnat (INRIA Sophia Antipolis / INRIA Lorraine / IECN), Pierre-Emmanuel Jabin (INRIA Sophia Antipolis / INRIA Lorraine / IECN

arxiv:1006.0803 v1 · 2010-06-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JH5UKU4HWDADJJRHHWDNFGR53M}

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	2026-05-18T04:07:16.043012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49fb455387b0c034a6273d86d29a3ddb23066483da8594a22343d8254b0ad435

Aliases

arxiv: 1006.0803 · arxiv_version: 1006.0803v1 · doi: 10.48550/arxiv.1006.0803 · pith_short_12: JH5UKU4HWDAD · pith_short_16: JH5UKU4HWDADJJRH · pith_short_8: JH5UKU4H

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/JH5UKU4HWDADJJRHHWDNFGR53M \
  | 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: 49fb455387b0c034a6273d86d29a3ddb23066483da8594a22343d8254b0ad435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea426428ae6a1319491deb0dc544c7a83e1cc7f06d6ad156f6be7e0670e0c05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-04T08:34:44Z",
    "title_canon_sha256": "0ff306aa015f92762070aa80add203b3d180bbbcf6912fc53d67410d660ed9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0803",
    "kind": "arxiv",
    "version": 1
  }
}