Pith Number

pith:2GIH7A55

pith:2012:2GIH7A55WMTJVAJO7FVQ2HN76G

not attested not anchored not stored refs pending

The Complexity of Planar Boolean #CSP with Complex Weights

Heng Guo, Tyson Williams

arxiv:1212.2284 v2 · 2012-12-11 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GIH7A55WMTJVAJO7FVQ2HN76G}

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	2026-05-18T03:16:40.335828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1907f83bdb3269a812ef96b0d1dbff182cda3e81f405e925b6ae8f58402658f

Aliases

arxiv: 1212.2284 · arxiv_version: 1212.2284v2 · doi: 10.48550/arxiv.1212.2284 · pith_short_12: 2GIH7A55WMTJ · pith_short_16: 2GIH7A55WMTJVAJO · pith_short_8: 2GIH7A55

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/2GIH7A55WMTJVAJO7FVQ2HN76G \
  | 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: d1907f83bdb3269a812ef96b0d1dbff182cda3e81f405e925b6ae8f58402658f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a480deead50cb196fc3c52d2bd4faa05c762095f16d278e68f154ba41584073",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-12-11T03:05:01Z",
    "title_canon_sha256": "373cdfba3434d809e793d42b0162b9f72b2f777adda7010e18e028bc804a3fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2284",
    "kind": "arxiv",
    "version": 2
  }
}