Pith Number

pith:ISJF2ID5

pith:2010:ISJF2ID5B255B2VBUPK4G7Z5JH

not attested not anchored not stored refs pending

A minimal nonfinitely based semigroup whose variety is polynomially recognizable

Mikhail V. Volkov, Stanislav I. Kublanovsky, Svetlana V. Goldberg

arxiv:1008.2425 v1 · 2010-08-14 · math.GR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISJF2ID5B255B2VBUPK4G7Z5JH}

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	2026-05-18T02:33:01.679108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44925d207d0ebbd0eaa1a3d5c37f3d49cc33747448b4e62a0edbc14f1481961a

Aliases

arxiv: 1008.2425 · arxiv_version: 1008.2425v1 · doi: 10.48550/arxiv.1008.2425 · pith_short_12: ISJF2ID5B255 · pith_short_16: ISJF2ID5B255B2VB · pith_short_8: ISJF2ID5

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/ISJF2ID5B255B2VBUPK4G7Z5JH \
  | 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: 44925d207d0ebbd0eaa1a3d5c37f3d49cc33747448b4e62a0edbc14f1481961a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc15a8086db1f9f28b12ebfacfe7353601cccff773507f49ff1e5187d8b6c5d8",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-14T10:04:03Z",
    "title_canon_sha256": "885a36f4c9fc6a77cd0c224c17f635324891f31ff10798643c46e8b01743e033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2425",
    "kind": "arxiv",
    "version": 1
  }
}