Pith Number

pith:GVS5HEH3

pith:2013:GVS5HEH332D6OXQW7NG4GPJGKC

not attested not anchored not stored refs pending

On the subgroups of finite Abelian groups of rank three

L\'aszl\'o T\'oth, Mario Hampejs

arxiv:1304.2961 v1 · 2013-04-10 · math.GR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVS5HEH332D6OXQW7NG4GPJGKC}

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	2026-05-18T03:28:20.255061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3565d390fbde87e75e16fb4dc33d26508e41293f57cb4f03b7e9a2cd5b2bf935

Aliases

arxiv: 1304.2961 · arxiv_version: 1304.2961v1 · doi: 10.48550/arxiv.1304.2961 · pith_short_12: GVS5HEH332D6 · pith_short_16: GVS5HEH332D6OXQW · pith_short_8: GVS5HEH3

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/GVS5HEH332D6OXQW7NG4GPJGKC \
  | 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: 3565d390fbde87e75e16fb4dc33d26508e41293f57cb4f03b7e9a2cd5b2bf935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0861c1408d46c00d785dd39d49d2f82b579763e04172a964eff0f0eb5ed1d5c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-10T13:50:23Z",
    "title_canon_sha256": "9cc1a15abad3f2cca7e3b716ecf1c3b485f726641184c01cef0c7d0306419b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2961",
    "kind": "arxiv",
    "version": 1
  }
}