Pith Number

pith:ZCKWB25J

pith:2016:ZCKWB25J3F4F22L43Y2UNI7G47

not attested not anchored not stored refs pending

Unsatisfiable hitting clause-sets with three more clauses than variables

Oliver Kullmann, Xishun Zhao

arxiv:1604.01288 v1 · 2016-04-05 · cs.DM · cs.LO · 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{ZCKWB25J3F4F22L43Y2UNI7G47}

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	2026-05-18T01:17:38.600494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89560eba9d9785d697cde3546a3e6e7cbdd99f0d063ba196c12d9d4712fdab4

Aliases

arxiv: 1604.01288 · arxiv_version: 1604.01288v1 · doi: 10.48550/arxiv.1604.01288 · pith_short_12: ZCKWB25J3F4F · pith_short_16: ZCKWB25J3F4F22L4 · pith_short_8: ZCKWB25J

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/ZCKWB25J3F4F22L43Y2UNI7G47 \
  | 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: c89560eba9d9785d697cde3546a3e6e7cbdd99f0d063ba196c12d9d4712fdab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe8e35bb287ea3a216c29d611d1a3cbc0b13716a98376b0c0b142dd37488da3",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-04-05T15:06:36Z",
    "title_canon_sha256": "529fdd4d1ab6f90cd7754c8e8e60cfa4c2ad5f69daeb0c8ab377038fbbe24108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01288",
    "kind": "arxiv",
    "version": 1
  }
}