Pith Number

pith:KMO5KROS

pith:2011:KMO5KROSECTCQHHSWUPIKWQBPH

not attested not anchored not stored refs pending

A Resolution of the Paradox of Enrichment

Y. Charles Li, Z. C. Feng

arxiv:1104.4355 v2 · 2011-04-21 · q-bio.PE · math-ph · math.AP · math.DS · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMO5KROSECTCQHHSWUPIKWQBPH}

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	2026-05-18T02:22:01.381517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

531dd545d220a6281cf2b51e855a0179c9da6443c8eefab649f04a48e34f1a52

Aliases

arxiv: 1104.4355 · arxiv_version: 1104.4355v2 · doi: 10.48550/arxiv.1104.4355 · pith_short_12: KMO5KROSECTC · pith_short_16: KMO5KROSECTCQHHS · pith_short_8: KMO5KROS

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/KMO5KROSECTCQHHSWUPIKWQBPH \
  | 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: 531dd545d220a6281cf2b51e855a0179c9da6443c8eefab649f04a48e34f1a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efdead033333e53a6789f12e2e653314218ddbe3110a4bc0c89b2442a5df1fb2",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DS",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-04-21T20:38:35Z",
    "title_canon_sha256": "c85ddf4814b540957663841d9f4a395b0c32b85769e345ab5d265367259e0212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4355",
    "kind": "arxiv",
    "version": 2
  }
}