Pith Number

pith:GHUTWHFI

pith:2011:GHUTWHFI2NALV6H7UVYXVQZUXJ

not attested not anchored not stored refs pending

Lie Markov Models

Jeremy Sumner, Jesus Fernandez-Sanchez, Peter Jarvis

arxiv:1105.4680 v2 · 2011-05-24 · q-bio.PE · math.GR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHUTWHFI2NALV6H7UVYXVQZUXJ}

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	2026-05-18T03:57:25.180766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e93b1ca8d340baf8ffa5717ac334ba4a45acf09fd1cdf000e6ae304788518e

Aliases

arxiv: 1105.4680 · arxiv_version: 1105.4680v2 · doi: 10.48550/arxiv.1105.4680 · pith_short_12: GHUTWHFI2NAL · pith_short_16: GHUTWHFI2NALV6H7 · pith_short_8: GHUTWHFI

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/GHUTWHFI2NALV6H7UVYXVQZUXJ \
  | 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: 31e93b1ca8d340baf8ffa5717ac334ba4a45acf09fd1cdf000e6ae304788518e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0229f411d6981fb94d85d3c2fdf857948877a0a409c8bc5963f9ab96c414882e",
    "cross_cats_sorted": [
      "math.GR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-05-24T05:09:31Z",
    "title_canon_sha256": "d6739c1cf33852e29c83642245e898da280c37c6770a3e3b76024a4b68d056bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4680",
    "kind": "arxiv",
    "version": 2
  }
}