Pith Number

pith:HQ3A26LI

pith:2011:HQ3A26LIWDGQNWP5XJFXMYZITO

not attested not anchored not stored refs pending

The expressibility of functions on the Boolean domain, with applications to Counting CSPs

Andrei A. Bulatov, Colin McQuillan, Leslie Ann Goldberg, Mark Jerrum, Martin Dyer

arxiv:1108.5288 v4 · 2011-08-26 · 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{HQ3A26LIWDGQNWP5XJFXMYZITO}

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	2026-05-18T03:09:20.406237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c360d7968b0cd06d9fdba4b7663289bab6d13988a89d83046bc5d68daebe505

Aliases

arxiv: 1108.5288 · arxiv_version: 1108.5288v4 · doi: 10.48550/arxiv.1108.5288 · pith_short_12: HQ3A26LIWDGQ · pith_short_16: HQ3A26LIWDGQNWP5 · pith_short_8: HQ3A26LI

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/HQ3A26LIWDGQNWP5XJFXMYZITO \
  | 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: 3c360d7968b0cd06d9fdba4b7663289bab6d13988a89d83046bc5d68daebe505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b5841301a6185df4d9c69ac1d8cf4530532451ce697130d52e157150da6409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-08-26T12:54:13Z",
    "title_canon_sha256": "b9c799b42cb305385f7da817ccc4f0af4f917f6b417815cbbc93483abf7c0d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5288",
    "kind": "arxiv",
    "version": 4
  }
}