Pith Number

pith:YZKNKW4J

pith:2005:YZKNKW4JF7Z6PS6NZQUOUOMFPI

not attested not anchored not stored refs pending

The computational complexity of Kauffman nets and the P versus NP problem

S.N. Coppersmith

arxiv:cond-mat/0510840 v1 · 2005-10-31 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZKNKW4JF7Z6PS6NZQUOUOMFPI}

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	2026-05-18T03:24:31.822185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c654d55b892ff3e7cbcdcc28ea39857a1170d914753e1d8e3e9212e9e565727f

Aliases

arxiv: cond-mat/0510840 · arxiv_version: cond-mat/0510840v1 · doi: 10.48550/arxiv.cond-mat/0510840 · pith_short_12: YZKNKW4JF7Z6 · pith_short_16: YZKNKW4JF7Z6PS6N · pith_short_8: YZKNKW4J

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/YZKNKW4JF7Z6PS6NZQUOUOMFPI \
  | 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: c654d55b892ff3e7cbcdcc28ea39857a1170d914753e1d8e3e9212e9e565727f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "216f916c053cd147541c02ef957e348efaaf7348ae5237026bec4a2d788f1064",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2005-10-31T16:41:16Z",
    "title_canon_sha256": "b00423ddb34049bc79d493c29ad2d2360431d25be0a958cf6ad2a688bf78f1a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0510840",
    "kind": "arxiv",
    "version": 1
  }
}