Pith Number

pith:N6F4HX35

pith:2011:N6F4HX352RNNLSRUKUALYVTCAZ

not attested not anchored not stored refs pending

Random sum-free subsets of Abelian groups

J\'ozsef Balogh, Robert Morris, Wojciech Samotij

arxiv:1103.2041 v2 · 2011-03-10 · math.CO · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6F4HX352RNNLSRUKUALYVTCAZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:40:38.829348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8bc3df7dd45ad5ca345500bc566206580f42009d55870e4fb10228fc8d4af1

Aliases

arxiv: 1103.2041 · arxiv_version: 1103.2041v2 · doi: 10.48550/arxiv.1103.2041 · pith_short_12: N6F4HX352RNN · pith_short_16: N6F4HX352RNNLSRU · pith_short_8: N6F4HX35

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/N6F4HX352RNNLSRUKUALYVTCAZ \
  | 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: 6f8bc3df7dd45ad5ca345500bc566206580f42009d55870e4fb10228fc8d4af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd0453eeda3be9c395302b2706235dfaa4735d597cf6fdf8b0002d294319c0c",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-10T14:10:42Z",
    "title_canon_sha256": "f02b8c7321106ebacd31123010c91a3999a8d2d08397fc054b746d3a3fe6f12a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2041",
    "kind": "arxiv",
    "version": 2
  }
}