Pith Number

pith:RWZH23KK

pith:2013:RWZH23KKTBO4X5JK3QO5MHLTGJ

not attested not anchored not stored refs pending

Cluster expansion and the boxdot conjecture

Emil Je\v{r}\'abek

arxiv:1308.0994 v1 · 2013-08-05 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWZH23KKTBO4X5JK3QO5MHLTGJ}

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	2026-05-18T00:53:40.899766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db27d6d4a985dcbf52adc1dd61d7332531f7fb9a7775d803bf34c64d427ef01

Aliases

arxiv: 1308.0994 · arxiv_version: 1308.0994v1 · doi: 10.48550/arxiv.1308.0994 · pith_short_12: RWZH23KKTBO4 · pith_short_16: RWZH23KKTBO4X5JK · pith_short_8: RWZH23KK

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/RWZH23KKTBO4X5JK3QO5MHLTGJ \
  | 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: 8db27d6d4a985dcbf52adc1dd61d7332531f7fb9a7775d803bf34c64d427ef01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab07bce4916e09811105c7b8f63d8c2517a07acf850b5b63d4c8228a3d05ccb7",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-05T14:36:44Z",
    "title_canon_sha256": "57350c5d7cdee6aa3aabbe25d8b0299050f1e648db53a92067984ac1f5f4475a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0994",
    "kind": "arxiv",
    "version": 1
  }
}