Pith Number

pith:SBBNPSXM

pith:2010:SBBNPSXM26UFCXEPC7LFEJPR4Q

not attested not anchored not stored refs pending

On variables with few occurrences in conjunctive normal forms

Oliver Kullmann, Xishun Zhao

arxiv:1010.5756 v3 · 2010-10-27 · cs.DM · 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{SBBNPSXM26UFCXEPC7LFEJPR4Q}

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	2026-05-18T02:49:18.800339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9042d7caecd7a8515c8f17d65225f1e403f14e261565a6e06d7636b152da2092

Aliases

arxiv: 1010.5756 · arxiv_version: 1010.5756v3 · doi: 10.48550/arxiv.1010.5756 · pith_short_12: SBBNPSXM26UF · pith_short_16: SBBNPSXM26UFCXEP · pith_short_8: SBBNPSXM

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/SBBNPSXM26UFCXEPC7LFEJPR4Q \
  | 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: 9042d7caecd7a8515c8f17d65225f1e403f14e261565a6e06d7636b152da2092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb81ff38450c486a6b8d763484a035d7b55548c7fc0ae143bafae3dd59c296d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-10-27T17:53:09Z",
    "title_canon_sha256": "78ce8c79a848fc2c26e2feca369e9a925d8d27a63324b2aba635c4d08199f639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5756",
    "kind": "arxiv",
    "version": 3
  }
}