Pith Number

pith:UDPTJWL5

pith:2013:UDPTJWL5RKULJIWLT424LXQUCD

not attested not anchored not stored refs pending

Catalan satisfiability problem

Antoine Genitrini, C\'ecile Mailler

arxiv:1304.5615 v2 · 2013-04-20 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDPTJWL5RKULJIWLT424LXQUCD}

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	2026-05-18T02:53:17.612330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0df34d97d8aa8b4a2cb9f35c5de1410c8b2c4cc5aeccf24d6bd7d8419f6ce41

Aliases

arxiv: 1304.5615 · arxiv_version: 1304.5615v2 · doi: 10.48550/arxiv.1304.5615 · pith_short_12: UDPTJWL5RKUL · pith_short_16: UDPTJWL5RKULJIWL · pith_short_8: UDPTJWL5

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/UDPTJWL5RKULJIWLT424LXQUCD \
  | 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: a0df34d97d8aa8b4a2cb9f35c5de1410c8b2c4cc5aeccf24d6bd7d8419f6ce41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91239ceb07eeca855fd364949837f19b9ec0f385031c7813169a97b47c3b210b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-20T09:19:36Z",
    "title_canon_sha256": "cecba70aff19eaf2c0c29e0f416f0471bd10a9c3e7801e5a26d85fa3a8e7719f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5615",
    "kind": "arxiv",
    "version": 2
  }
}