Pith Number

pith:AHTEPHYR

pith:2016:AHTEPHYRMTQGYPP3D5VANTAQPK

not attested not anchored not stored refs pending

On the star-height of factor counting languages and their relationship to Rees zero-matrix semigroups

Nik Ruskuc, Tom Bourne

arxiv:1603.06236 v2 · 2016-03-20 · cs.FL · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHTEPHYRMTQGYPP3D5VANTAQPK}

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	2026-05-18T01:03:50.292747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e6479f1164e06c3dfb1f6a06cc107a9a8200047081643c39c7d2fc798b882a

Aliases

arxiv: 1603.06236 · arxiv_version: 1603.06236v2 · doi: 10.48550/arxiv.1603.06236 · pith_short_12: AHTEPHYRMTQG · pith_short_16: AHTEPHYRMTQGYPP3 · pith_short_8: AHTEPHYR

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/AHTEPHYRMTQGYPP3D5VANTAQPK \
  | 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: 01e6479f1164e06c3dfb1f6a06cc107a9a8200047081643c39c7d2fc798b882a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf972f8643795337fb38daeb0bb7c7b1cf29bf45eb028c4e72e8da7acdb7dd5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-03-20T16:34:03Z",
    "title_canon_sha256": "5272dd0979aac5278deacb240225ae05d845cd05deadf2aed064871ca9f24abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06236",
    "kind": "arxiv",
    "version": 2
  }
}