Pith Number

pith:EXDZQ5LU

pith:2010:EXDZQ5LUBG2UHA52NI3ATMC3HQ

not attested not anchored not stored refs pending

The complexity of weighted and unweighted #CSP

Andrei Bulatov, David Richerby, Leslie Ann Goldberg, Mark Jerrum, Markus Jalsenius, Martin Dyer

arxiv:1005.2678 v2 · 2010-05-15 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXDZQ5LUBG2UHA52NI3ATMC3HQ}

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	2026-05-18T02:24:06.764262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c798757409b54383ba6a3609b05b3c0ad7f37d0dddb81134dec5f16a7624f8

Aliases

arxiv: 1005.2678 · arxiv_version: 1005.2678v2 · doi: 10.48550/arxiv.1005.2678 · pith_short_12: EXDZQ5LUBG2U · pith_short_16: EXDZQ5LUBG2UHA52 · pith_short_8: EXDZQ5LU

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/EXDZQ5LUBG2UHA52NI3ATMC3HQ \
  | 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: 25c798757409b54383ba6a3609b05b3c0ad7f37d0dddb81134dec5f16a7624f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169af87bd99c56d7cd322a5f7b16d53c3bdd7d8b00db7fdc3c625055b8796862",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-05-15T14:39:30Z",
    "title_canon_sha256": "fb5647a3af30160c0f0f51481545a8d7d0a634bff3f415f91e75fdb4d23f9f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2678",
    "kind": "arxiv",
    "version": 2
  }
}