Pith Number

pith:KDX4BZNF

pith:2016:KDX4BZNF32G6VSR4YEWLKCGYLL

not attested not anchored not stored refs pending

Schreier's formula for Prosupersolvable groups

Mark Shusterman

arxiv:1609.02680 v1 · 2016-09-09 · 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{KDX4BZNF32G6VSR4YEWLKCGYLL}

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	2026-05-18T01:04:51.528354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50efc0e5a5de8deaca3cc12cb508d85aeaf6362182595dd4f244145bab0ea214

Aliases

arxiv: 1609.02680 · arxiv_version: 1609.02680v1 · doi: 10.48550/arxiv.1609.02680 · pith_short_12: KDX4BZNF32G6 · pith_short_16: KDX4BZNF32G6VSR4 · pith_short_8: KDX4BZNF

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/KDX4BZNF32G6VSR4YEWLKCGYLL \
  | 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: 50efc0e5a5de8deaca3cc12cb508d85aeaf6362182595dd4f244145bab0ea214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbeb7da7b308ffaf3bbb4359852cae782b44795cb2ff5d356b85d391db014610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-09T08:03:31Z",
    "title_canon_sha256": "41374643475581fcdcae77ff2f7c4dd035863919f444457ddb4303ba2923c62b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02680",
    "kind": "arxiv",
    "version": 1
  }
}