Pith Number

pith:2LA6G4VB

pith:2013:2LA6G4VBHJB4DT4O7OFXGRPUCF

not attested not anchored not stored refs pending

Which alternating and symmetric groups are unit groups?

Christopher Davis, Tommy Occhipinti

arxiv:1304.0143 v1 · 2013-03-30 · math.RA · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LA6G4VBHJB4DT4O7OFXGRPUCF}

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	2026-05-18T02:28:21.074278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2c1e372a13a43c1cf8efb8b7345f4114ad54a5c6f7dce8634bef1d852f4a22c

Aliases

arxiv: 1304.0143 · arxiv_version: 1304.0143v1 · doi: 10.48550/arxiv.1304.0143 · pith_short_12: 2LA6G4VBHJB4 · pith_short_16: 2LA6G4VBHJB4DT4O · pith_short_8: 2LA6G4VB

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/2LA6G4VBHJB4DT4O7OFXGRPUCF \
  | 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: d2c1e372a13a43c1cf8efb8b7345f4114ad54a5c6f7dce8634bef1d852f4a22c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e033bbc4b5a74da9e3a9770a2f6b12cbe84db1c117ab010b460696655cebb70",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-30T22:21:15Z",
    "title_canon_sha256": "a2398664277a360ced08dbb9fe4fddc9fb8b0a0e7db34eb053c94bb29872da7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0143",
    "kind": "arxiv",
    "version": 1
  }
}