Pith Number

pith:6LKVNARK

pith:2006:6LKVNARKYPDV2OBRIFQV42HODO

not attested not anchored not stored refs pending

Generalized Majority-Minority Operations are Tractable

Victor Dalmau

arxiv:cs/0609108 v2 · 2006-09-19 · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LKVNARKYPDV2OBRIFQV42HODO}

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	2026-05-18T00:53:03.320268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d556822ac3c75d383141615e68ee1b84801dda9b92462186cdca06cfe34c3f

Aliases

arxiv: cs/0609108 · arxiv_version: cs/0609108v2 · doi: 10.48550/arxiv.cs/0609108 · pith_short_12: 6LKVNARKYPDV · pith_short_16: 6LKVNARKYPDV2OBR · pith_short_8: 6LKVNARK

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/6LKVNARKYPDV2OBRIFQV42HODO \
  | 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: f2d556822ac3c75d383141615e68ee1b84801dda9b92462186cdca06cfe34c3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6d22cf6428ef928080f3a3fb96cf2cdd612543109937c285fe1ec891cf9094",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2006-09-19T15:12:46Z",
    "title_canon_sha256": "84247258062a55752ea9bd23c615e6ce4d3c99feb32f2a7b0e6636d00d8a4624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0609108",
    "kind": "arxiv",
    "version": 2
  }
}