Pith Number

pith:F4E7W2A2

pith:2009:F4E7W2A2KLP45KVSEOL3TYGUO2

not attested not anchored not stored refs pending

Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states

Enrique Munoz, Jeong-Man Park, Michael W. Deem

arxiv:0903.2004 v2 · 2009-03-11 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4E7W2A2KLP45KVSEOL3TYGUO2}

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	2026-05-18T02:14:35.880183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f09fb681a52dfceaab22397b9e0d476a9cea4e86042890d9606e043f0374ce0

Aliases

arxiv: 0903.2004 · arxiv_version: 0903.2004v2 · doi: 10.48550/arxiv.0903.2004 · pith_short_12: F4E7W2A2KLP4 · pith_short_16: F4E7W2A2KLP45KVS · pith_short_8: F4E7W2A2

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/F4E7W2A2KLP45KVSEOL3TYGUO2 \
  | 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: 2f09fb681a52dfceaab22397b9e0d476a9cea4e86042890d9606e043f0374ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d13786ff8582b0b96b8273153b18b0f7e920bbabfff5b27e579c3c6b528da02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2009-03-11T16:45:16Z",
    "title_canon_sha256": "f02e959ba606f33f7d92e6741d58aa9db0e5c5ae0b45cc85b27f659ed114bd2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2004",
    "kind": "arxiv",
    "version": 2
  }
}