Pith Number

pith:YKZ3XV3J

pith:2011:YKZ3XV3J3J2OZNMZNHS2YKSP3M

not attested not anchored not stored refs pending

Constraint satisfaction problems in clausal form

Oliver Kullmann

arxiv:1103.3693 v1 · 2011-03-18 · 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{YKZ3XV3J3J2OZNMZNHS2YKSP3M}

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	2026-05-18T04:02:25.243873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b3bbd769da74ecb59969e5ac2a4fdb1e77a93955742e458d97390ea0fc179b

Aliases

arxiv: 1103.3693 · arxiv_version: 1103.3693v1 · doi: 10.48550/arxiv.1103.3693 · pith_short_12: YKZ3XV3J3J2O · pith_short_16: YKZ3XV3J3J2OZNMZ · pith_short_8: YKZ3XV3J

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/YKZ3XV3J3J2OZNMZNHS2YKSP3M \
  | 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: c2b3bbd769da74ecb59969e5ac2a4fdb1e77a93955742e458d97390ea0fc179b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e1b03ff2c0b58fe66ed5e1bd351e9f32998de0a60ca0dd67163461cfa7b4cd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-03-18T19:47:40Z",
    "title_canon_sha256": "04316f2898a141af76c0f0ec78ac628a7737947b546e2e4fb75fb830b5a6924c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3693",
    "kind": "arxiv",
    "version": 1
  }
}