Pith Number

pith:HYPJQBW6

pith:2010:HYPJQBW6TUDGS4VCKQWZSM6IKI

not attested not anchored not stored refs pending

Syntactic Complexity of Ideal and Closed Languages

Janusz Brzozowski, Yuli Ye

arxiv:1010.3263 v1 · 2010-10-15 · 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{HYPJQBW6TUDGS4VCKQWZSM6IKI}

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	2026-05-18T04:39:09.701172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1e9806de9d066972a2542d9933c8523f45884a7c5aac504b7e05aa0fbb309d

Aliases

arxiv: 1010.3263 · arxiv_version: 1010.3263v1 · doi: 10.48550/arxiv.1010.3263 · pith_short_12: HYPJQBW6TUDG · pith_short_16: HYPJQBW6TUDGS4VC · pith_short_8: HYPJQBW6

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/HYPJQBW6TUDGS4VCKQWZSM6IKI \
  | 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: 3e1e9806de9d066972a2542d9933c8523f45884a7c5aac504b7e05aa0fbb309d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e33d6f304dbad089482b09b2f31518a1fc41edb2ae9b1a16466a81846b18584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-10-15T20:06:43Z",
    "title_canon_sha256": "e38afd948b13cf8651d1e3a41f398a48d0333d02f1a851e8778a077906f4ba86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3263",
    "kind": "arxiv",
    "version": 1
  }
}