Pith Number

pith:5CLU5EA6

pith:2013:5CLU5EA677DV2YJCSPQNE6KV42

not attested not anchored not stored refs pending

Abelian groups yield many large families for the diamond problem

Aaron Dutle, \'Eva Czabarka, L\'aszl\'o A. Sz\'ekely, Travis Johnston

arxiv:1309.5638 v2 · 2013-09-22 · 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{5CLU5EA677DV2YJCSPQNE6KV42}

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	2026-05-18T02:29:23.608673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8974e901effc75d612293e0d27955e6862b5fa93906a42dcecc723fed153a73

Aliases

arxiv: 1309.5638 · arxiv_version: 1309.5638v2 · doi: 10.48550/arxiv.1309.5638 · pith_short_12: 5CLU5EA677DV · pith_short_16: 5CLU5EA677DV2YJC · pith_short_8: 5CLU5EA6

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/5CLU5EA677DV2YJCSPQNE6KV42 \
  | 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: e8974e901effc75d612293e0d27955e6862b5fa93906a42dcecc723fed153a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa036f78ceceaee56a7d5299f6dc30d372d6d8db784ec39ae9b56fe4cc0e9244",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-22T19:19:37Z",
    "title_canon_sha256": "b6bc3691693b44c153252aef6c0e9fe7093af631bd18f771a3919e92f2925df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5638",
    "kind": "arxiv",
    "version": 2
  }
}