Pith Number

pith:IFWEWWG6

pith:2012:IFWEWWG6O7ULCCQXYKUZHRSYV5

not attested not anchored not stored refs pending

Lie Markov models with purine/pyrimidine symmetry

Jeremy G. Sumner, Jes\'us Fern\'andez-S\'anchez, Michael D. Woodhams, Peter D. Jarvis

arxiv:1206.1401 v2 · 2012-06-07 · 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{IFWEWWG6O7ULCCQXYKUZHRSYV5}

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	2026-05-18T03:20:06.695235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416c4b58de77e8b10a17c2a993c658af532eae645ea97055326d97a8f80b398b

Aliases

arxiv: 1206.1401 · arxiv_version: 1206.1401v2 · doi: 10.48550/arxiv.1206.1401 · pith_short_12: IFWEWWG6O7UL · pith_short_16: IFWEWWG6O7ULCCQX · pith_short_8: IFWEWWG6

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/IFWEWWG6O7ULCCQXYKUZHRSYV5 \
  | 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: 416c4b58de77e8b10a17c2a993c658af532eae645ea97055326d97a8f80b398b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e0c0236c5ae341289424f3ad6c33a58dd8c53c0e1710c5992fbac02f15b10f",
    "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": "2012-06-07T05:08:38Z",
    "title_canon_sha256": "46509086bb90703381f5e4b2034eba6753f35c4f2c05288758dfbaf92020ea1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1401",
    "kind": "arxiv",
    "version": 2
  }
}