Pith Number

pith:CXINUWCY

pith:2013:CXINUWCYFRCAY46AX4QIFW2TWB

not attested not anchored not stored refs pending

On hopfian cofinite subsemigroups

N. Ruskuc, Victor Maltcev

arxiv:1307.6929 v1 · 2013-07-26 · 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{CXINUWCYFRCAY46AX4QIFW2TWB}

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	2026-05-18T03:17:33.417962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d0da58582c440c73c0bf2082db53b04abb08887a13f8d459c3f1c42fa0ea04

Aliases

arxiv: 1307.6929 · arxiv_version: 1307.6929v1 · doi: 10.48550/arxiv.1307.6929 · pith_short_12: CXINUWCYFRCA · pith_short_16: CXINUWCYFRCAY46A · pith_short_8: CXINUWCY

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/CXINUWCYFRCAY46AX4QIFW2TWB \
  | 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: 15d0da58582c440c73c0bf2082db53b04abb08887a13f8d459c3f1c42fa0ea04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d368edade46552d621ec26419f8fb4554b1277b794b6d9bce30fdeda66131cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-26T06:25:17Z",
    "title_canon_sha256": "834dc883a12d30a92dc08833b3ae32f236dacbe42191abda2b207942a77bda31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6929",
    "kind": "arxiv",
    "version": 1
  }
}