Pith Number

pith:HZEJEBAL

pith:2015:HZEJEBALZZ3N2FZ3FETHFWNRCC

not attested not anchored not stored refs pending

Central reflections and nilpotency in exact Mal'tsev categories

Clemens Berger, Dominique Bourn

arxiv:1511.00824 v3 · 2015-11-03 · math.CT · math.AT · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZEJEBALZZ3N2FZ3FETHFWNRCC}

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	2026-05-18T00:53:45.510707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4892040bce76dd173b292672d9b110a2105fa9d1d44d845feb0df2b88b5999

Aliases

arxiv: 1511.00824 · arxiv_version: 1511.00824v3 · doi: 10.48550/arxiv.1511.00824 · pith_short_12: HZEJEBALZZ3N · pith_short_16: HZEJEBALZZ3N2FZ3 · pith_short_8: HZEJEBAL

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/HZEJEBALZZ3N2FZ3FETHFWNRCC \
  | 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: 3e4892040bce76dd173b292672d9b110a2105fa9d1d44d845feb0df2b88b5999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3eb7433e1e6c9cd0a886f583b18a5225f140ac5df3d439240af22b0da53aab",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-11-03T09:17:08Z",
    "title_canon_sha256": "079f19f79eb08afdac05c38619147265e7b639dbe329e8e07c9788125a08ed6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00824",
    "kind": "arxiv",
    "version": 3
  }
}