Pith Number

pith:5OL5LKKE

pith:2016:5OL5LKKE7MD3APKAUTMM6XBJJU

not attested not anchored not stored refs pending

Separated Nets in Nilpotent Groups

Anton Lukyanenko, Michael Kelly, Sean Li, Tullia Dymarz

arxiv:1608.08572 v1 · 2016-08-30 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OL5LKKE7MD3APKAUTMM6XBJJU}

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	2026-05-18T01:07:17.763709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb97d5a944fb07b03d40a4d8cf5c294d1925ea8cf13dcd7c35de0896e701d8b2

Aliases

arxiv: 1608.08572 · arxiv_version: 1608.08572v1 · doi: 10.48550/arxiv.1608.08572 · pith_short_12: 5OL5LKKE7MD3 · pith_short_16: 5OL5LKKE7MD3APKA · pith_short_8: 5OL5LKKE

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/5OL5LKKE7MD3APKAUTMM6XBJJU \
  | 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: eb97d5a944fb07b03d40a4d8cf5c294d1925ea8cf13dcd7c35de0896e701d8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a062bce668c7c13ad70f9f86f1a073b5021ebd36049b3b3bcffd7d437a14df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-30T17:38:18Z",
    "title_canon_sha256": "0f97208ed08111c13693a831edfaf133aa8aef012569a8865e304730a23d242b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08572",
    "kind": "arxiv",
    "version": 1
  }
}