Pith Number

pith:VFCF2VMC

pith:2013:VFCF2VMCR3BPJQ6INVYPAXQDIB

not attested not anchored not stored refs pending

Unary enhancements of inherently nonfinitely based semigroups

Igor Dolinka, Karl Auinger, Mikhail V. Volkov, Tatiana V. Pervukhina

arxiv:1301.3275 v2 · 2013-01-15 · 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{VFCF2VMCR3BPJQ6INVYPAXQDIB}

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	2026-05-18T02:33:01.577639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9445d55828ec2f4c3c86d70f05e03404d835b477944531e2a8dc19b0f9bc80c

Aliases

arxiv: 1301.3275 · arxiv_version: 1301.3275v2 · doi: 10.48550/arxiv.1301.3275 · pith_short_12: VFCF2VMCR3BP · pith_short_16: VFCF2VMCR3BPJQ6I · pith_short_8: VFCF2VMC

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/VFCF2VMCR3BPJQ6INVYPAXQDIB \
  | 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: a9445d55828ec2f4c3c86d70f05e03404d835b477944531e2a8dc19b0f9bc80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2aa2530a90e307f5384577012d84c79ec388d876731fdbe209890d10720ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-15T09:31:12Z",
    "title_canon_sha256": "da0378a02113c22842538c1be10b05ff68b3f0e2cc3a0fc64f9d4f1ae15c423f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3275",
    "kind": "arxiv",
    "version": 2
  }
}