Pith Number

pith:RDQRKC5W

pith:2012:RDQRKC5WLSGZHHERHMEZB63K6U

not attested not anchored not stored refs pending

Maximal sets with no solution to x+y=3z

Alain Plagne, Anne de Roton

arxiv:1211.3341 v2 · 2012-11-14 · math.CO · 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{RDQRKC5WLSGZHHERHMEZB63K6U}

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	2026-05-18T03:33:25.451009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e1150bb65c8d939c913b0990fb6af5099c09084d56cfef0b73f7538a416a7a

Aliases

arxiv: 1211.3341 · arxiv_version: 1211.3341v2 · doi: 10.48550/arxiv.1211.3341 · pith_short_12: RDQRKC5WLSGZ · pith_short_16: RDQRKC5WLSGZHHER · pith_short_8: RDQRKC5W

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/RDQRKC5WLSGZHHERHMEZB63K6U \
  | 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: 88e1150bb65c8d939c913b0990fb6af5099c09084d56cfef0b73f7538a416a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457a0be29e7a680a48614464e0a7b19b8f7992bc3caa85a4ada4a8be41f86c10",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-14T15:57:41Z",
    "title_canon_sha256": "a075346655035bad184ad176c52302972b74fdc61a3e15c0cea0cdb10996e6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3341",
    "kind": "arxiv",
    "version": 2
  }
}