Pith Number

pith:ULN2EU5I

pith:2012:ULN2EU5IOCRELO6ICJYMCFOGMD

not attested not anchored not stored refs pending

On Abelian Group Representability of Finite Groups

Eldho K. Thomas, Fr\'ed\'erique Oggier, Nadya Markin

arxiv:1212.1298 v2 · 2012-12-06 · math.GR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULN2EU5IOCRELO6ICJYMCFOGMD}

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	2026-05-18T03:38:55.326751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2dba253a870a245bbc81270c115c660c214815700a957b866730361f83b80ce

Aliases

arxiv: 1212.1298 · arxiv_version: 1212.1298v2 · doi: 10.48550/arxiv.1212.1298 · pith_short_12: ULN2EU5IOCRE · pith_short_16: ULN2EU5IOCRELO6I · pith_short_8: ULN2EU5I

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/ULN2EU5IOCRELO6ICJYMCFOGMD \
  | 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: a2dba253a870a245bbc81270c115c660c214815700a957b866730361f83b80ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4407231f00bd6e750a8950b2a34212b5fd91d09f7be114ae2c6cc04ffe43c4dd",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-06T11:51:07Z",
    "title_canon_sha256": "0c8f60189a45112c01fadffe6b94ad2c2cb89b749f136f47ca8922c6b81aedad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1298",
    "kind": "arxiv",
    "version": 2
  }
}