Pith Number

pith:5B72AES2

pith:2018:5B72AES26FKB4URVEGWX2BIRUJ

not attested not anchored not stored refs pending

On finite $p$-groups satisfying given laws

Primoz Moravec

arxiv:1810.09853 v1 · 2018-10-23 · 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{5B72AES26FKB4URVEGWX2BIRUJ}

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	2026-05-18T00:02:29.130961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87fa0125af1541e523521ad7d0511a24fc86f174eb8e053e1f1196ae99572fa

Aliases

arxiv: 1810.09853 · arxiv_version: 1810.09853v1 · doi: 10.48550/arxiv.1810.09853 · pith_short_12: 5B72AES26FKB · pith_short_16: 5B72AES26FKB4URV · pith_short_8: 5B72AES2

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/5B72AES26FKB4URVEGWX2BIRUJ \
  | 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: e87fa0125af1541e523521ad7d0511a24fc86f174eb8e053e1f1196ae99572fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae45d66a54acde4778276e0dbb070a1ebed50ff24d646dca7aa811cfe7e810e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-23T13:48:16Z",
    "title_canon_sha256": "59457a337766c61e958934a57ec1f6715e6da2dc29b6c7461ee5ff6675b80785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09853",
    "kind": "arxiv",
    "version": 1
  }
}