Pith Number

pith:BN4WA4US

pith:2013:BN4WA4USOO7IGQAM6ED63IT22B

not attested not anchored not stored refs pending

The affine and projective groups are maximal

Itay Kaplan, Pierre Simon

arxiv:1310.8157 v2 · 2013-10-30 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BN4WA4USOO7IGQAM6ED63IT22B}

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	2026-05-18T01:35:38.471500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7960729273be83400cf107eda27ad0720d21d2961f1616258a8543b036a9b9

Aliases

arxiv: 1310.8157 · arxiv_version: 1310.8157v2 · doi: 10.48550/arxiv.1310.8157 · pith_short_12: BN4WA4USOO7I · pith_short_16: BN4WA4USOO7IGQAM · pith_short_8: BN4WA4US

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/BN4WA4USOO7IGQAM6ED63IT22B \
  | 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: 0b7960729273be83400cf107eda27ad0720d21d2961f1616258a8543b036a9b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfe678aa9cdeb2a28dcabd306ddbe236b035e680dfd47534375f126ac19bf6d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-30T14:05:15Z",
    "title_canon_sha256": "53c996c038aca0a24e20f4c4227008497ec01ff7e5ca2bc8431e8547cf6f8385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8157",
    "kind": "arxiv",
    "version": 2
  }
}