Pith Number

pith:KN2BMPDF

pith:2012:KN2BMPDFGOEEPWMNXIAK73MBQV

not attested not anchored not stored refs pending

The Large Davenport Constant I: Groups with a Cyclic, Index 2 Subgroup

A. Geroldinger, D. J. Grynkiewicz

arxiv:1211.2612 v1 · 2012-11-12 · 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{KN2BMPDFGOEEPWMNXIAK73MBQV}

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	2026-05-18T03:41:02.794111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5374163c65338847d98dba00afed81857b9342d625593ab58b6a417b213426ba

Aliases

arxiv: 1211.2612 · arxiv_version: 1211.2612v1 · doi: 10.48550/arxiv.1211.2612 · pith_short_12: KN2BMPDFGOEE · pith_short_16: KN2BMPDFGOEEPWMN · pith_short_8: KN2BMPDF

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/KN2BMPDFGOEEPWMNXIAK73MBQV \
  | 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: 5374163c65338847d98dba00afed81857b9342d625593ab58b6a417b213426ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4b3122e0f68b266797ad7ad8503d274452278982929a808f1e8c3291ac8550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-12T13:45:32Z",
    "title_canon_sha256": "0905b68f9b558db9277a8752675b8c75645fb6393da90cb893bfb403c40dcb12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2612",
    "kind": "arxiv",
    "version": 1
  }
}