Pith Number

pith:P5NYTYSP

pith:2013:P5NYTYSPSM65BI6OE2C5SHXZDH

not attested not anchored not stored refs pending

Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model

Jeremy G Sumner, Peter D Jarvis

arxiv:1307.5574 v2 · 2013-07-22 · q-bio.PE · math.RT · math.ST · q-bio.QM · 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{P5NYTYSPSM65BI6OE2C5SHXZDH}

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	2026-05-18T01:21:03.076408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5b89e24f933dd0a3ce2685d91ef919d0b78b01712eb49d9b92be7705aa5004

Aliases

arxiv: 1307.5574 · arxiv_version: 1307.5574v2 · doi: 10.48550/arxiv.1307.5574 · pith_short_12: P5NYTYSPSM65 · pith_short_16: P5NYTYSPSM65BI6O · pith_short_8: P5NYTYSP

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/P5NYTYSPSM65BI6OE2C5SHXZDH \
  | 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: 7f5b89e24f933dd0a3ce2685d91ef919d0b78b01712eb49d9b92be7705aa5004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b89ea4c4985edd17cafd3e8c9653aed57f84a04e075c63f5b0d99cd1bda53ff",
    "cross_cats_sorted": [
      "math.RT",
      "math.ST",
      "q-bio.QM",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-07-22T00:51:40Z",
    "title_canon_sha256": "ea723e6af46bededdb8f4b4d9f0d64e9fa9490b48ef49bbdb8511f5875e36384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5574",
    "kind": "arxiv",
    "version": 2
  }
}