Pith Number

pith:G5FPDZ3U

pith:2017:G5FPDZ3UM6DQPAJULBZWP3JAWY

not attested not anchored not stored refs pending

Lie-Markov models derived from finite semigroups

Jeremy G. Sumner, Michael D. Woodhams

arxiv:1709.00520 v1 · 2017-09-02 · math.GR · q-bio.PE · 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{G5FPDZ3UM6DQPAJULBZWP3JAWY}

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	2026-05-18T00:36:07.840778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374af1e7746787078134587367ed20b6083087fe2318c119f15e088e98ded656

Aliases

arxiv: 1709.00520 · arxiv_version: 1709.00520v1 · doi: 10.48550/arxiv.1709.00520 · pith_short_12: G5FPDZ3UM6DQ · pith_short_16: G5FPDZ3UM6DQPAJU · pith_short_8: G5FPDZ3U

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/G5FPDZ3UM6DQPAJULBZWP3JAWY \
  | 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: 374af1e7746787078134587367ed20b6083087fe2318c119f15e088e98ded656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c911bb7c8ce9890770e56a438cfc8a6def61cb63e7280c745144b238a2e924a",
    "cross_cats_sorted": [
      "q-bio.PE",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-02T02:13:41Z",
    "title_canon_sha256": "973326ad6f775b47d34bcc72bfda7b72a019228baed35f37d501f32278e7e241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00520",
    "kind": "arxiv",
    "version": 1
  }
}