Pith Number

pith:P73UD4HR

pith:2005:P73UD4HRFLGC2OL5WRYOCN6YHD

not attested not anchored not stored refs pending

Abelian regular subgroups of the affine group and radical rings

A. Caranti, Francesca Dalla Volta, Massimiliano Sala

arxiv:math/0510166 v2 · 2005-10-08 · math.GR · math.AC · 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{P73UD4HRFLGC2OL5WRYOCN6YHD}

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	2026-05-18T01:17:57.776341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff741f0f12acc2d397db470e137d838ff912a87926b4ceccc1f3d53f4696647

Aliases

arxiv: math/0510166 · arxiv_version: math/0510166v2 · doi: 10.48550/arxiv.math/0510166 · pith_short_12: P73UD4HRFLGC · pith_short_16: P73UD4HRFLGC2OL5 · pith_short_8: P73UD4HR

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/P73UD4HRFLGC2OL5WRYOCN6YHD \
  | 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: 7ff741f0f12acc2d397db470e137d838ff912a87926b4ceccc1f3d53f4696647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2b483accfaf1c784fc99bd8ac0f5ede9d5446ca6e2e4988edb501df01c91c0",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-10-08T15:18:54Z",
    "title_canon_sha256": "da452c2a47aa90e35d73849020970167e3fb9de097dcdf1e3725bbb3ed7b89e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510166",
    "kind": "arxiv",
    "version": 2
  }
}