Pith Number

pith:YHRCPFFG

pith:2011:YHRCPFFGWECHIOYWE7KKUP6IES

not attested not anchored not stored refs pending

Complexity Classes and Theories for the Comparator Circuit Value Problem

Dai Tri Man Le, Stephen A. Cook, Yuli Ye

arxiv:1106.4142 v2 · 2011-06-21 · 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{YHRCPFFGWECHIOYWE7KKUP6IES}

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	2026-05-18T04:11:40.531112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1e22794a6b104743b1627d4aa3fc824b4856d886b52cb15fe073377f1f265b9

Aliases

arxiv: 1106.4142 · arxiv_version: 1106.4142v2 · doi: 10.48550/arxiv.1106.4142 · pith_short_12: YHRCPFFGWECH · pith_short_16: YHRCPFFGWECHIOYW · pith_short_8: YHRCPFFG

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/YHRCPFFGWECHIOYWE7KKUP6IES \
  | 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: c1e22794a6b104743b1627d4aa3fc824b4856d886b52cb15fe073377f1f265b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663b94745f63b410c9218e1d7450906476ec47fdb5a51d003cbd5bcf94479d06",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-06-21T09:15:01Z",
    "title_canon_sha256": "a128b52209ab58376f08187819306e392d6f523e7d0aeb9f386715072ed0a3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4142",
    "kind": "arxiv",
    "version": 2
  }
}