Pith Number

pith:HN26IRAD

pith:2013:HN26IRADXABBAZ5LNZTFZJZ2Z3

not attested not anchored not stored refs pending

Sets of integers that do not contain Hilbert cubes of dimension 3

Javier Cilleruelo

arxiv:1310.1646 v2 · 2013-10-06 · 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{HN26IRADXABBAZ5LNZTFZJZ2Z3}

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	2026-05-18T03:08:06.550769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b75e44403b8021067ab6e665ca73acef87c079f14f7ebfd4e6de8d671d28f24

Aliases

arxiv: 1310.1646 · arxiv_version: 1310.1646v2 · doi: 10.48550/arxiv.1310.1646 · pith_short_12: HN26IRADXABB · pith_short_16: HN26IRADXABBAZ5L · pith_short_8: HN26IRAD

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/HN26IRADXABBAZ5LNZTFZJZ2Z3 \
  | 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: 3b75e44403b8021067ab6e665ca73acef87c079f14f7ebfd4e6de8d671d28f24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80a226382aeff22ce3c36e5733d7df1e7c7f97428523613701d2ddaaaa0b174",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-06T23:37:42Z",
    "title_canon_sha256": "df6ade0e302f9965a7bc244abf87da84fc5c9edd95516306cd1bb10c4fb6a38d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1646",
    "kind": "arxiv",
    "version": 2
  }
}