Pith Number

pith:GFPD2YG4

pith:2016:GFPD2YG4SUKTVLKUSZ4HXIKZVE

not attested not anchored not stored refs pending

A representation-theoretic approach to the calculation of evolutionary distance in bacteria

Andrew R Francis, Jeremy G Sumner, Peter D Jarvis

arxiv:1612.06035 v1 · 2016-12-19 · q-bio.PE · math.GR · math.PR · math.RT · 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{GFPD2YG4SUKTVLKUSZ4HXIKZVE}

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	2026-05-18T00:39:00.614032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315e3d60dc95153aad5496787ba159a9131b0f889ea1b4868fe6676ea3211188

Aliases

arxiv: 1612.06035 · arxiv_version: 1612.06035v1 · doi: 10.48550/arxiv.1612.06035 · pith_short_12: GFPD2YG4SUKT · pith_short_16: GFPD2YG4SUKTVLKU · pith_short_8: GFPD2YG4

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/GFPD2YG4SUKTVLKUSZ4HXIKZVE \
  | 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: 315e3d60dc95153aad5496787ba159a9131b0f889ea1b4868fe6676ea3211188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50bca28237c8b9df4c9498eb908a68200a1cc3a458e6c602b97d68ebee44f557",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR",
      "math.RT",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-12-19T03:52:29Z",
    "title_canon_sha256": "fb545907f4f7f618c6d27f309dbc289ea2fb4c77cb79f97956e85f1c56dfbd1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06035",
    "kind": "arxiv",
    "version": 1
  }
}