Pith Number

pith:QJ72CWGP

pith:1998:QJ72CWGP7XNOJOK2C7DBJOMIER

not attested not anchored not stored refs pending

The Boolean Hierarchy over Level 1/2 of the Straubing-Therien Hierarchy

Heinz Schmitz, Klaus W. Wagner

arxiv:cs/9809118 v1 · 1998-09-28 · cs.CC · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ72CWGP7XNOJOK2C7DBJOMIER}

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	2026-05-18T01:22:49.381975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827fa158cffddae4b95a17c614b988246058563b3a0a4ef35cf8af56d9cf6987

Aliases

arxiv: cs/9809118 · arxiv_version: cs/9809118v1 · doi: 10.48550/arxiv.cs/9809118 · pith_short_12: QJ72CWGP7XNO · pith_short_16: QJ72CWGP7XNOJOK2 · pith_short_8: QJ72CWGP

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/QJ72CWGP7XNOJOK2C7DBJOMIER \
  | 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: 827fa158cffddae4b95a17c614b988246058563b3a0a4ef35cf8af56d9cf6987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5669b32085e0b9a62f6ec009c884e8c68d801ff347b70e783b39ad6aa2adb54",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "1998-09-28T12:35:34Z",
    "title_canon_sha256": "e7685deb43be19f948525c194eb90cef16468fd8c727b3f2f189f648b747f5e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/9809118",
    "kind": "arxiv",
    "version": 1
  }
}