Pith Number

pith:G3FZMO7F

pith:2019:G3FZMO7FYLT6UBODEMM6HCR422

not attested not anchored not stored refs pending

Placing quantified variants of 3-SAT and Not-All-Equal 3-SAT in the polynomial hierarchy

Britta Dorn, Charles Semple, Janosch D\"ocker, Simone Linz

arxiv:1908.05361 v2 · 2019-08-14 · 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{G3FZMO7FYLT6UBODEMM6HCR422}

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	2026-07-05T02:30:40.668717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cb963be5c2e7ea05c32319e38a3cd6b3f4ec687bc2701d7961e22bb3554d88

Aliases

arxiv: 1908.05361 · arxiv_version: 1908.05361v2 · doi: 10.48550/arxiv.1908.05361 · pith_short_12: G3FZMO7FYLT6 · pith_short_16: G3FZMO7FYLT6UBOD · pith_short_8: G3FZMO7F

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/G3FZMO7FYLT6UBODEMM6HCR422 \
  | 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: 36cb963be5c2e7ea05c32319e38a3cd6b3f4ec687bc2701d7961e22bb3554d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80699e4426c0ba5241fb8c1f09aa6aa2a4df5d66f4d6460daeae4e7ae5585e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-08-14T22:09:49Z",
    "title_canon_sha256": "0257138012ed8e62068e889527851f8bd0fad179b464193be8f329b7bef10d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05361",
    "kind": "arxiv",
    "version": 2
  }
}