Pith Number

pith:DSOZQ43B

pith:2012:DSOZQ43BZIJNTL6CLKGEG45WME

not attested not anchored not stored refs pending

Every coprime linear group admits a base of size two

K\'aroly Podoski, Zolt\'an Halasi

arxiv:1212.0199 v2 · 2012-12-02 · 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{DSOZQ43BZIJNTL6CLKGEG45WME}

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	2026-05-17T23:52:19.478849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9d987361ca12d9afc25a8c4373b6612d7ba4ca81f2eaaa150e8b19b8465a5b

Aliases

arxiv: 1212.0199 · arxiv_version: 1212.0199v2 · doi: 10.48550/arxiv.1212.0199 · pith_short_12: DSOZQ43BZIJN · pith_short_16: DSOZQ43BZIJNTL6C · pith_short_8: DSOZQ43B

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/DSOZQ43BZIJNTL6CLKGEG45WME \
  | 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: 1c9d987361ca12d9afc25a8c4373b6612d7ba4ca81f2eaaa150e8b19b8465a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71570f8018152498bb27f00ef71e4667a448da7ce0004209b449806339ed658a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-02T11:02:54Z",
    "title_canon_sha256": "b842c436f6bad12df5754d58f92b94b77ccc49fdd7af2b40488ffa28005716aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0199",
    "kind": "arxiv",
    "version": 2
  }
}