Pith Number

pith:7TPNWVEX

pith:2016:7TPNWVEXTTKRKPMSM3DZBJJM2F

not attested not anchored not stored refs pending

Classification of Imprimitive Irreducible Finite Sugroups of O(7)

David B. Wales

arxiv:1608.07543 v1 · 2016-08-26 · 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{7TPNWVEXTTKRKPMSM3DZBJJM2F}

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	2026-05-18T01:07:52.809968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdedb54979cd5153d9266c790a52cd17b363381e9679a4cf2473051d9c87730

Aliases

arxiv: 1608.07543 · arxiv_version: 1608.07543v1 · doi: 10.48550/arxiv.1608.07543 · pith_short_12: 7TPNWVEXTTKR · pith_short_16: 7TPNWVEXTTKRKPMS · pith_short_8: 7TPNWVEX

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/7TPNWVEXTTKRKPMSM3DZBJJM2F \
  | 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: fcdedb54979cd5153d9266c790a52cd17b363381e9679a4cf2473051d9c87730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce54db5c560df1b9791ce74af1a79c52c802dfef4a7328f60da9a1de4217085",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-08-26T18:05:47Z",
    "title_canon_sha256": "cce1eecb469970c858f92dc091fc16d2572efcc4cbe62af467f205c14218db74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07543",
    "kind": "arxiv",
    "version": 1
  }
}