Pith Number

pith:6RZFI7YS

pith:2018:6RZFI7YSAKNHLUNJL7YX5J3WVY

not attested not anchored not stored refs pending

The normal hull and commutator group for nonconnected group schemes

Giulia Battiston

arxiv:1803.06965 v1 · 2018-03-19 · math.AG · 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{6RZFI7YSAKNHLUNJL7YX5J3WVY}

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	2026-05-18T00:20:40.736459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f472547f12029a75d1a95ff17ea776ae179c082fc165867a79f2c9e847b9d000

Aliases

arxiv: 1803.06965 · arxiv_version: 1803.06965v1 · doi: 10.48550/arxiv.1803.06965 · pith_short_12: 6RZFI7YSAKNH · pith_short_16: 6RZFI7YSAKNHLUNJ · pith_short_8: 6RZFI7YS

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/6RZFI7YSAKNHLUNJL7YX5J3WVY \
  | 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: f472547f12029a75d1a95ff17ea776ae179c082fc165867a79f2c9e847b9d000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee64c0f3acd4a522874bdaa7d8581990892db2fcbcded861aaced0b3b8776162",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-19T14:51:14Z",
    "title_canon_sha256": "435c5f550a9454ad87ef5597cf4a13b3557af7e2b4b271d7384c81522579b773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06965",
    "kind": "arxiv",
    "version": 1
  }
}