Pith Number

pith:QE22S2PK

pith:2014:QE22S2PKVM7QX37H2T3YIBRVDG

not attested not anchored not stored refs pending

On the state complexity of closures and interiors of regular languages with subwords and superwords

Matthias Niewerth, Philippe Schnoebelen, Prateek Karandikar

arxiv:1406.0690 v4 · 2014-06-03 · 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{QE22S2PKVM7QX37H2T3YIBRVDG}

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	2026-05-18T01:25:39.840190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8135a969eaab3f0befe7d4f784063519be6a92c132d357aaa6bf8fb9a163d026

Aliases

arxiv: 1406.0690 · arxiv_version: 1406.0690v4 · doi: 10.48550/arxiv.1406.0690 · pith_short_12: QE22S2PKVM7Q · pith_short_16: QE22S2PKVM7QX37H · pith_short_8: QE22S2PK

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/QE22S2PKVM7QX37H2T3YIBRVDG \
  | 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: 8135a969eaab3f0befe7d4f784063519be6a92c132d357aaa6bf8fb9a163d026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad9dc113443d9fd24c7ecbb9a669502910569fe0d594f0f752b484c899bb6ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2014-06-03T12:42:47Z",
    "title_canon_sha256": "1cdba3d810c5d00844c5b289b108140529cb8cd449c9a50247446bdb10ae4f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0690",
    "kind": "arxiv",
    "version": 4
  }
}