Pith Number

pith:WWV3IN57

pith:2017:WWV3IN57SOVCLKKPUI37AGUKN7

not attested not anchored not stored refs pending

Going Higher in First-Order Quantifier Alternation Hierarchies on Words

Marc Zeitoun, Thomas Place

arxiv:1707.05696 v1 · 2017-07-15 · 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{WWV3IN57SOVCLKKPUI37AGUKN7}

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	2026-05-18T00:40:01.704788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5abb437bf93aa25a94fa237f01a8a6fe6dfea1107300464b2d0ca99db577240

Aliases

arxiv: 1707.05696 · arxiv_version: 1707.05696v1 · doi: 10.48550/arxiv.1707.05696 · pith_short_12: WWV3IN57SOVC · pith_short_16: WWV3IN57SOVCLKKP · pith_short_8: WWV3IN57

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/WWV3IN57SOVCLKKPUI37AGUKN7 \
  | 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: b5abb437bf93aa25a94fa237f01a8a6fe6dfea1107300464b2d0ca99db577240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07bbc7049a61a0bfeb0f461af9b82a86e2acfb76eb0a0e27ac9cca0eb1c04f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-07-15T23:06:25Z",
    "title_canon_sha256": "8459ff3de6ec1de44afbb94d2ffed95cf674a704e4dfb8152b98bebe8dad03bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05696",
    "kind": "arxiv",
    "version": 1
  }
}