Pith Number

pith:AEQZDA5G

pith:2009:AEQZDA5GFQVQKS4MOMMGHXGLVD

not attested not anchored not stored refs pending

A maximum entropy theorem with applications to the measurement of biodiversity

Tom Leinster

arxiv:0910.0906 v4 · 2009-10-06 · cs.IT · math.IT · q-bio.PE · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEQZDA5GFQVQKS4MOMMGHXGLVD}

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	2026-05-18T04:31:42.277260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01219183a62c2b054b8c731863dccba8fa809a24be5f243365793a84da395ced

Aliases

arxiv: 0910.0906 · arxiv_version: 0910.0906v4 · doi: 10.48550/arxiv.0910.0906 · pith_short_12: AEQZDA5GFQVQ · pith_short_16: AEQZDA5GFQVQKS4M · pith_short_8: AEQZDA5G

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/AEQZDA5GFQVQKS4MOMMGHXGLVD \
  | 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: 01219183a62c2b054b8c731863dccba8fa809a24be5f243365793a84da395ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c58e3077aad7914e4243073e9444d604b9ff6d1d3022faba1b6bf8d93ff5cd56",
    "cross_cats_sorted": [
      "math.IT",
      "q-bio.PE",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2009-10-06T01:29:04Z",
    "title_canon_sha256": "19d00b69b3bb01ede59c82dd519ec77dacc7ff4d85476ceb547688e4dcdcd56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0906",
    "kind": "arxiv",
    "version": 4
  }
}