Pith Number

pith:GDMZAOV6

pith:2012:GDMZAOV6WAHUBZEZ3USJOYU25C

not attested not anchored not stored refs pending

Small generators for S-unit groups of division algebras

Matthew Stover, Ted Chinburg

arxiv:1204.5968 v4 · 2012-04-26 · math.NT · 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{GDMZAOV6WAHUBZEZ3USJOYU25C}

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	2026-05-18T02:32:39.284236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d9903abeb00f40e499dd2497629ae88beb0a090d1df744e86aca833e65cdb3

Aliases

arxiv: 1204.5968 · arxiv_version: 1204.5968v4 · doi: 10.48550/arxiv.1204.5968 · pith_short_12: GDMZAOV6WAHU · pith_short_16: GDMZAOV6WAHUBZEZ · pith_short_8: GDMZAOV6

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/GDMZAOV6WAHUBZEZ3USJOYU25C \
  | 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: 30d9903abeb00f40e499dd2497629ae88beb0a090d1df744e86aca833e65cdb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77a3c5386b97d18cc556f622c8eb5f7f430ea663930417b0f777b3da1515927",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-26T16:08:09Z",
    "title_canon_sha256": "0912b37877a06bc78863b5eb105388eca7efc3edd3ad2713955a692ebc070cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5968",
    "kind": "arxiv",
    "version": 4
  }
}