Pith Number

pith:64BKSZZY

pith:2018:64BKSZZY3SCUNHJMN6MXTFUWHX

not attested not anchored not stored refs pending

Graham Higman's PORC theorem

Michael Vaughan-Lee

arxiv:1808.04145 v1 · 2018-08-13 · 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{64BKSZZY3SCUNHJMN6MXTFUWHX}

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	2026-05-18T00:08:18.750803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f702a96738dc85469d2c6f997996963dde81dedc879006fb3c1205cb839ad5e0

Aliases

arxiv: 1808.04145 · arxiv_version: 1808.04145v1 · doi: 10.48550/arxiv.1808.04145 · pith_short_12: 64BKSZZY3SCU · pith_short_16: 64BKSZZY3SCUNHJM · pith_short_8: 64BKSZZY

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/64BKSZZY3SCUNHJMN6MXTFUWHX \
  | 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: f702a96738dc85469d2c6f997996963dde81dedc879006fb3c1205cb839ad5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c3f71739403c91bd0129de20955dc4803061d28501b14d4f753d676ffc010c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-13T10:53:07Z",
    "title_canon_sha256": "1f571421c435a2bb899ea5ed8a69106da4541760cbb349f4b302052ed008e942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04145",
    "kind": "arxiv",
    "version": 1
  }
}