Pith Number

pith:QQ5PQJHW

pith:2022:QQ5PQJHWA5E57ZTDAHCMU6UXGI

not attested not anchored not stored refs pending

Irreducible subcube partitions

Alexander Smal, Artur Riazanov, Edward Hirsch, Ferdinand Ihringer, Marc Vinyals, Sascha Kurz, Yuval Filmus

arxiv:2212.14685 v3 · 2022-12-30 · 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{QQ5PQJHWA5E57ZTDAHCMU6UXGI}

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	2026-07-05T06:49:18.153196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843af824f60749dfe66301c4ca7a97322a9a1f996490d2b56ba5e60f74b94940

Aliases

arxiv: 2212.14685 · arxiv_version: 2212.14685v3 · doi: 10.48550/arxiv.2212.14685 · pith_short_12: QQ5PQJHWA5E5 · pith_short_16: QQ5PQJHWA5E57ZTD · pith_short_8: QQ5PQJHW

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/QQ5PQJHWA5E57ZTDAHCMU6UXGI \
  | 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: 843af824f60749dfe66301c4ca7a97322a9a1f996490d2b56ba5e60f74b94940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967b92abc0159ebc58e9fa96f5f76c0d971e0eb92f5bef73623c26a76c44744f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-30T13:16:19Z",
    "title_canon_sha256": "dcf6ecf86391085d46ed0d05b38f2a7a658604d3c43af963e65bdee3f79c46f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.14685",
    "kind": "arxiv",
    "version": 3
  }
}