Pith Number

pith:XAE4R2O4

pith:2015:XAE4R2O4KGILVIDMYWEPYGPQG6

not attested not anchored not stored refs pending

Syntactic complexity of regular ideals

Janusz A. Brzozowski, Marek Szyku{\l}a, Yuli Ye

arxiv:1509.06032 v2 · 2015-09-20 · 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{XAE4R2O4KGILVIDMYWEPYGPQG6}

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	2026-05-18T00:52:55.536547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b809c8e9dc5190baa06cc588fc19f0379903ab433ce87f5dc4763146b575efc7

Aliases

arxiv: 1509.06032 · arxiv_version: 1509.06032v2 · doi: 10.48550/arxiv.1509.06032 · pith_short_12: XAE4R2O4KGIL · pith_short_16: XAE4R2O4KGILVIDM · pith_short_8: XAE4R2O4

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/XAE4R2O4KGILVIDMYWEPYGPQG6 \
  | 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: b809c8e9dc5190baa06cc588fc19f0379903ab433ce87f5dc4763146b575efc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9574f3451f17f8a5a0ab5d526d3ccc38eb2839403a9c86d826ce9b024ab8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-09-20T17:55:12Z",
    "title_canon_sha256": "58a217696ecf92127ef91a81aca0685024c13de36750628f816c17aad6c534c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06032",
    "kind": "arxiv",
    "version": 2
  }
}