Pith Number

pith:34FUKSAW

pith:2019:34FUKSAWJYTQOPWYVLRPHQ5Y2Z

not attested not anchored not stored refs pending

Case Study of the Proof of Cook's theorem - Interpretation of A(w)

Yu Li

arxiv:1904.13191 v1 · 2019-04-30 · 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{34FUKSAWJYTQOPWYVLRPHQ5Y2Z}

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	2026-05-17T23:47:21.978586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0b4548164e27073ed8aae2f3c3b8d6529cbb3e389ebe7da8b1064926a87b6d

Aliases

arxiv: 1904.13191 · arxiv_version: 1904.13191v1 · doi: 10.48550/arxiv.1904.13191 · pith_short_12: 34FUKSAWJYTQ · pith_short_16: 34FUKSAWJYTQOPWY · pith_short_8: 34FUKSAW

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/34FUKSAWJYTQOPWYVLRPHQ5Y2Z \
  | 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: df0b4548164e27073ed8aae2f3c3b8d6529cbb3e389ebe7da8b1064926a87b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e1c0b6774544653d145c4e3090e5762789b72ebdd4d83ebb75fde7a4cb415e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-04-30T12:34:20Z",
    "title_canon_sha256": "59328ca53be8eb947535c31fb35105904535bfb65ec5a922f67f49eacb342f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13191",
    "kind": "arxiv",
    "version": 1
  }
}