Pith Number

pith:4KH7BIJF

pith:2012:4KH7BIJFB77B2PFS2BCNWCH7CL

not attested not anchored not stored refs pending

Relativized Propositional Calculus

Stephen Cook

arxiv:1203.2168 v1 · 2012-03-09 · 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{4KH7BIJFB77B2PFS2BCNWCH7CL}

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	2026-05-18T04:00:27.347134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28ff0a1250ffe1d3cb2d044db08ff12fb3bbea46cadeedb98c51f102b7dbc4e

Aliases

arxiv: 1203.2168 · arxiv_version: 1203.2168v1 · doi: 10.48550/arxiv.1203.2168 · pith_short_12: 4KH7BIJFB77B · pith_short_16: 4KH7BIJFB77B2PFS · pith_short_8: 4KH7BIJF

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/4KH7BIJFB77B2PFS2BCNWCH7CL \
  | 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: e28ff0a1250ffe1d3cb2d044db08ff12fb3bbea46cadeedb98c51f102b7dbc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08121fc8c84ef427e05c5f3a11a216d24ba76818994f33c7b73b8aab4a23dca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-03-09T20:20:06Z",
    "title_canon_sha256": "db9fea1136bc3b9e6c39ffc9723684d98d91820046d14c80b7aff9ca8f40270c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2168",
    "kind": "arxiv",
    "version": 1
  }
}