Pith Number

pith:CIRNRDRI

pith:2013:CIRNRDRI5GYCW4JMY4A5ZI65TX

not attested not anchored not stored refs pending

On schurity of finite abelian groups

Ilya Ponomarenko, Istv\'an Kov\'acs, Sergei Evdokimov

arxiv:1309.0989 v1 · 2013-09-03 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIRNRDRI5GYCW4JMY4A5ZI65TX}

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	2026-05-18T01:20:12.506114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1222d88e28e9b02b712cc701dca3dd9dc46de8fcb1c543448221ce820ba60ed9

Aliases

arxiv: 1309.0989 · arxiv_version: 1309.0989v1 · doi: 10.48550/arxiv.1309.0989 · pith_short_12: CIRNRDRI5GYC · pith_short_16: CIRNRDRI5GYCW4JM · pith_short_8: CIRNRDRI

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/CIRNRDRI5GYCW4JMY4A5ZI65TX \
  | 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: 1222d88e28e9b02b712cc701dca3dd9dc46de8fcb1c543448221ce820ba60ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6036607f14cfef0dc346a3294a00bb289c17fa5029cb2a71b6dc631bb115bd29",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-03T06:58:51Z",
    "title_canon_sha256": "5bd6eb60a8f9d50d387b163957a5db34fe065db9f5956ef81f33792afaca4a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0989",
    "kind": "arxiv",
    "version": 1
  }
}