Pith Number

pith:Z6RKAFHP

pith:2013:Z6RKAFHPOQIVQPYH66NJQMUZ5N

not attested not anchored not stored refs pending

How many double squares can a string contain?

Adrien Thierry, Antoine Deza, Frantisek Franek

arxiv:1310.3429 v3 · 2013-10-12 · 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{Z6RKAFHPOQIVQPYH66NJQMUZ5N}

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	2026-05-18T02:45:58.250388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa2a014ef7411583f07f79a983299eb51c97609d0b0abd1fc4a3539f07fc115

Aliases

arxiv: 1310.3429 · arxiv_version: 1310.3429v3 · doi: 10.48550/arxiv.1310.3429 · pith_short_12: Z6RKAFHPOQIV · pith_short_16: Z6RKAFHPOQIVQPYH · pith_short_8: Z6RKAFHP

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/Z6RKAFHPOQIVQPYH66NJQMUZ5N \
  | 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: cfa2a014ef7411583f07f79a983299eb51c97609d0b0abd1fc4a3539f07fc115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336b358d36e9b66fc1fdaf6aa7e4f7982b80a0d417ec06ae14dbe01af97745b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-12T21:48:16Z",
    "title_canon_sha256": "53ecd55dd303acf8b20c3b62cc1b97f87bb664f71ba8e42772d59efdd4c929e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3429",
    "kind": "arxiv",
    "version": 3
  }
}