Pith Number

pith:64GDTAHG

pith:2015:64GDTAHGDVEI7B4FCGKKMHUJ32

not attested not anchored not stored refs pending

Small loops of nilpotency class three with commutative inner mapping groups

Ale\v{s} Dr\'apal, Petr Vojt\v{e}chovsk\'y

arxiv:1509.05723 v1 · 2015-09-18 · 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{64GDTAHGDVEI7B4FCGKKMHUJ32}

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	2026-05-18T01:32:42.507362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70c3980e61d488f87851194a61e89de8658c451ad76709c19d7c3b8f9e468a7

Aliases

arxiv: 1509.05723 · arxiv_version: 1509.05723v1 · doi: 10.48550/arxiv.1509.05723 · pith_short_12: 64GDTAHGDVEI · pith_short_16: 64GDTAHGDVEI7B4F · pith_short_8: 64GDTAHG

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/64GDTAHGDVEI7B4FCGKKMHUJ32 \
  | 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: f70c3980e61d488f87851194a61e89de8658c451ad76709c19d7c3b8f9e468a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b587e5448b9eb9a9bd3927bcca18e6a241e8cac71304e44e21b181f4ca3d12d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-18T17:36:30Z",
    "title_canon_sha256": "ba32618d456ee563f450bf44c38ee179bea39c5c9ce35673c8b6a7deb773829c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05723",
    "kind": "arxiv",
    "version": 1
  }
}