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Pith Number

pith:7KRPDC7A

pith:2014:7KRPDC7AR6OJO2CD5OJMYS2JSP
not attested not anchored not stored refs pending

Going higher in the First-order Quantifier Alternation Hierarchy on Words

Marc Zeitoun, Thomas Place

arxiv:1404.6832 v1 · 2014-04-27 · cs.FL · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7KRPDC7AR6OJO2CD5OJMYS2JSP}

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 2026-05-18T02:53:05.794067Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

faa2f18be08f9c976843eb92cc4b4993e942f0bdaffe9ef81315c3f5abda420a

Aliases

arxiv: 1404.6832 · arxiv_version: 1404.6832v1 · doi: 10.48550/arxiv.1404.6832 · pith_short_12: 7KRPDC7AR6OJ · pith_short_16: 7KRPDC7AR6OJO2CD · pith_short_8: 7KRPDC7A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7KRPDC7AR6OJO2CD5OJMYS2JSP \
  | 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: faa2f18be08f9c976843eb92cc4b4993e942f0bdaffe9ef81315c3f5abda420a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ce510b635cdd301f5d91c08347c697d9812fbc7d977144a3ba10927b38080cd5",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-04-27T21:40:17Z",
    "title_canon_sha256": "1abe50175bbdcc10ec1d235d0ccf551e343e04dd7a48dff2d0e86b2b3655ef9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6832",
    "kind": "arxiv",
    "version": 1
  }
}