Pith Number

pith:4EJOGLPL

pith:2026:4EJOGLPLSEVR3C53GTWBXXUTZE

not attested not anchored not stored refs pending

Finite abelian subgroups of algebraic groups

Danny Ofek, Federico Scavia, Zinovy Reichstein

arxiv:2608.01595 v1 · 2026-08-03 · 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{4EJOGLPLSEVR3C53GTWBXXUTZE}

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	2026-08-04T02:06:05.869642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e112e32deb912b1d8bbb34ec1bde93c91258ca443970a35ef359dd17afcd96b4

Aliases

arxiv: 2608.01595 · arxiv_version: 2608.01595v1 · doi: 10.48550/arxiv.2608.01595 · pith_short_12: 4EJOGLPLSEVR · pith_short_16: 4EJOGLPLSEVR3C53 · pith_short_8: 4EJOGLPL

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/4EJOGLPLSEVR3C53GTWBXXUTZE \
  | 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: e112e32deb912b1d8bbb34ec1bde93c91258ca443970a35ef359dd17afcd96b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9a17d3bc8de1fa54aceb3c3140bd56ccc5228988bc1ff2bfea1532022e376a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-03T01:59:49Z",
    "title_canon_sha256": "2b583074925d25400e60a0f15d4b2e6a68a30a328c75e93b614c95703dbe730d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01595",
    "kind": "arxiv",
    "version": 1
  }
}