Pith Number

pith:WFKN7B7E

pith:2008:WFKN7B7EEFYJTNBTBZK3VZMFRT

not attested not anchored not stored refs pending

From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics

Fabio A. C. C. Chalub, Max O. Souza

arxiv:0811.0203 v1 · 2008-11-03 · q-bio.PE · 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{WFKN7B7EEFYJTNBTBZK3VZMFRT}

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	2026-05-18T03:36:06.811467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b154df87e4217099b4330e55bae5858cd12923d6696fb4626bea90a10706ca2b

Aliases

arxiv: 0811.0203 · arxiv_version: 0811.0203v1 · doi: 10.48550/arxiv.0811.0203 · pith_short_12: WFKN7B7EEFYJ · pith_short_16: WFKN7B7EEFYJTNBT · pith_short_8: WFKN7B7E

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/WFKN7B7EEFYJTNBTBZK3VZMFRT \
  | 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: b154df87e4217099b4330e55bae5858cd12923d6696fb4626bea90a10706ca2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4a96113858fa3a9c180b7285fc875d6ff95d616da2c9e5a0e2aad8c3482e7f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2008-11-03T01:13:15Z",
    "title_canon_sha256": "b28b3a123092714b416242632ca8c0708f09032842c81e81bccc06cc2c37fc11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0203",
    "kind": "arxiv",
    "version": 1
  }
}