Pith Number

pith:2WOFRCV6

pith:2010:2WOFRCV6D6UIKLHJMJWQSGPEAJ

not attested not anchored not stored refs pending

The Local Lemma is asymptotically tight for SAT

Gabor Tardos, Heidi Gebauer, Tibor Szabo

arxiv:1006.0744 v3 · 2010-06-03 · math.CO · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WOFRCV6D6UIKLHJMJWQSGPEAJ}

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	2026-05-18T01:16:37.798372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59c588abe1fa8852ce9626d0919e4026b7b5c3b0fa1ab7c9ff5d65b251b244c

Aliases

arxiv: 1006.0744 · arxiv_version: 1006.0744v3 · doi: 10.48550/arxiv.1006.0744 · pith_short_12: 2WOFRCV6D6UI · pith_short_16: 2WOFRCV6D6UIKLHJ · pith_short_8: 2WOFRCV6

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/2WOFRCV6D6UIKLHJMJWQSGPEAJ \
  | 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: d59c588abe1fa8852ce9626d0919e4026b7b5c3b0fa1ab7c9ff5d65b251b244c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "786c8d220b72edf3d19cf2e9367eb26d49b0bd4fff1d5f63799173761d0df69c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-03T21:14:00Z",
    "title_canon_sha256": "b294cf007c8d215ea5ada2ffcdc3474b369dbd10e4745a40b13752c4037a9d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0744",
    "kind": "arxiv",
    "version": 3
  }
}