Pith Number

pith:Z2GU6OTD

pith:2012:Z2GU6OTDMLBHLB4F6FVROEXMD3

not attested not anchored not stored refs pending

Isomorphy classes of k-involutions of G_2

John Hutchens

arxiv:1211.1874 v4 · 2012-11-08 · 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{Z2GU6OTDMLBHLB4F6FVROEXMD3}

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	2026-05-18T01:23:30.138547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce8d4f3a6362c2758785f16b1712ec1ec7922798fd444ac8c9fc41c26e4f1366

Aliases

arxiv: 1211.1874 · arxiv_version: 1211.1874v4 · doi: 10.48550/arxiv.1211.1874 · pith_short_12: Z2GU6OTDMLBH · pith_short_16: Z2GU6OTDMLBHLB4F · pith_short_8: Z2GU6OTD

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/Z2GU6OTDMLBHLB4F6FVROEXMD3 \
  | 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: ce8d4f3a6362c2758785f16b1712ec1ec7922798fd444ac8c9fc41c26e4f1366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0193dbac84389fb2a75efdbd98147249cb3011cdfbfe8852f7dc05bff62e30a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-08T15:07:58Z",
    "title_canon_sha256": "feb92ecc4520fd389aaf91988f09d9dcefe5eda06a0ea4dbf9e9a4f4ece4dbd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1874",
    "kind": "arxiv",
    "version": 4
  }
}