Pith Number

pith:QZVAYLHE

pith:2012:QZVAYLHE2G7OXIXIBTTRIABQKI

not attested not anchored not stored refs pending

On Davis-Putnam reductions for minimally unsatisfiable clause-sets

Oliver Kullmann, Xishun Zhao

arxiv:1202.2600 v5 · 2012-02-13 · 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{QZVAYLHE2G7OXIXIBTTRIABQKI}

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	2026-05-18T03:04:38.588005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866a0c2ce4d1beeba2e80ce714003052206d0e8c6d5e79a3ffd361ab8f7f1285

Aliases

arxiv: 1202.2600 · arxiv_version: 1202.2600v5 · doi: 10.48550/arxiv.1202.2600 · pith_short_12: QZVAYLHE2G7O · pith_short_16: QZVAYLHE2G7OXIXI · pith_short_8: QZVAYLHE

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/QZVAYLHE2G7OXIXIBTTRIABQKI \
  | 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: 866a0c2ce4d1beeba2e80ce714003052206d0e8c6d5e79a3ffd361ab8f7f1285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65bc7b9e90457d5395be887f5b7ce45d0b7e71451c3359caf8e78f45f318f2f3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-02-13T01:17:27Z",
    "title_canon_sha256": "2f0f1005063bbcc49f88d1c9ca353ee75e2f599c00e4dd50ecf6cf810932af64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2600",
    "kind": "arxiv",
    "version": 5
  }
}