Pith Number

pith:NTFXSIRZ

pith:2014:NTFXSIRZRHDAMFOYXLMUMLAPEL

not attested not anchored not stored refs pending

Bounds for variables with few occurrences in conjunctive normal forms

Oliver Kullmann, Xishun Zhao

arxiv:1408.0629 v5 · 2014-08-04 · math.CO · cs.DM · 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{NTFXSIRZRHDAMFOYXLMUMLAPEL}

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	2026-05-18T00:52:24.196912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ccb79223989c60615d8bad9462c0f22ce87f131d50061e31da97048defb23b8

Aliases

arxiv: 1408.0629 · arxiv_version: 1408.0629v5 · doi: 10.48550/arxiv.1408.0629 · pith_short_12: NTFXSIRZRHDA · pith_short_16: NTFXSIRZRHDAMFOY · pith_short_8: NTFXSIRZ

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/NTFXSIRZRHDAMFOYXLMUMLAPEL \
  | 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: 6ccb79223989c60615d8bad9462c0f22ce87f131d50061e31da97048defb23b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b1d97080405c1280cf8312cb01745b577395118fd5487eedfa92a400d2e372",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-04T10:00:29Z",
    "title_canon_sha256": "ea5152053f5acb6f903f99a41e56801791cc446c57784716fb1200ce0ef47e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0629",
    "kind": "arxiv",
    "version": 5
  }
}