Pith Number

pith:OC7FPIC7

pith:2016:OC7FPIC76GIOLBEHOYL3TUQJ4O

not attested not anchored not stored refs pending

Binary permutation groups: alternating and classical groups

Nick Gill, Pablo Spiga

arxiv:1610.01792 v1 · 2016-10-06 · 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{OC7FPIC76GIOLBEHOYL3TUQJ4O}

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	2026-05-18T01:03:04.835782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70be57a05ff190e584877617b9d209e3939310ceaa6099a880b1e784d5d11a07

Aliases

arxiv: 1610.01792 · arxiv_version: 1610.01792v1 · doi: 10.48550/arxiv.1610.01792 · pith_short_12: OC7FPIC76GIO · pith_short_16: OC7FPIC76GIOLBEH · pith_short_8: OC7FPIC7

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/OC7FPIC76GIOLBEHOYL3TUQJ4O \
  | 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: 70be57a05ff190e584877617b9d209e3939310ceaa6099a880b1e784d5d11a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb08f6db8b1cea5ff1efc7a15a7994af3e76dc8cc6fe6a33d2e028c67ad259f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-06T09:42:08Z",
    "title_canon_sha256": "6bb34e888f65f999d73e8a5f546dddd1a3482d7c213fe465cd8eb151525dc0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01792",
    "kind": "arxiv",
    "version": 1
  }
}