Pith Number

pith:JJACRQ54

pith:2019:JJACRQ542554DVRLONBMRNL4IB

not attested not anchored not stored refs pending

Global local covers

Benjamin Steinberg, J.C. Birget, John L. Rhodes

arxiv:1904.01372 v1 · 2019-04-02 · 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{JJACRQ542554DVRLONBMRNL4IB}

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.

Cited by

1 paper in Pith

Decidability of Krohn-Rhodes complexity $c = 1$ of finite semigroups and automata

Receipt and verification

First computed	2026-05-17T23:49:34.875837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4028c3bcd77bc1d62b7342c8b57c4059b6f7e3c00587df39b454bf08138d18

Aliases

arxiv: 1904.01372 · arxiv_version: 1904.01372v1 · doi: 10.48550/arxiv.1904.01372 · pith_short_12: JJACRQ542554 · pith_short_16: JJACRQ542554DVRL · pith_short_8: JJACRQ54

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/JJACRQ542554DVRLONBMRNL4IB \
  | 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: 4a4028c3bcd77bc1d62b7342c8b57c4059b6f7e3c00587df39b454bf08138d18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf98b0259e5023c81491e206d887d1ddae641464c0f38ab3a16565e56f31dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-04-02T12:27:52Z",
    "title_canon_sha256": "7c83f4d4739ec95ebeeae769d054cb53130b07f76a7d6dea701fa2446aebf0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01372",
    "kind": "arxiv",
    "version": 1
  }
}