Pith Number

pith:VK6FGHXM

pith:2012:VK6FGHXME4YKLQG7C7NAFHOJ3V

not attested not anchored not stored refs pending

Dichotomy for Holant* Problems with a Function on Domain Size 3

Jin-Yi Cai, Mingji Xia, Pinyan Lu

arxiv:1207.2354 v1 · 2012-07-10 · 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{VK6FGHXME4YKLQG7C7NAFHOJ3V}

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	2026-05-18T03:51:24.314127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aabc531eec2730a5c0df17da029dc9dd4f245abe7f7ebf13037ee8254eae6477

Aliases

arxiv: 1207.2354 · arxiv_version: 1207.2354v1 · doi: 10.48550/arxiv.1207.2354 · pith_short_12: VK6FGHXME4YK · pith_short_16: VK6FGHXME4YKLQG7 · pith_short_8: VK6FGHXM

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/VK6FGHXME4YKLQG7C7NAFHOJ3V \
  | 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: aabc531eec2730a5c0df17da029dc9dd4f245abe7f7ebf13037ee8254eae6477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257b164e2ebd648d7629840804a50a96242be81cbc520acaf1319e254a9b46e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-07-10T13:52:15Z",
    "title_canon_sha256": "47044d0c2d7c0600186770709af1913c87935b7a8d1ae7f45377710b3d50a9ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2354",
    "kind": "arxiv",
    "version": 1
  }
}