Pith Number

pith:4NAQRVLS

pith:2012:4NAQRVLSQLMG5TCORLWNWHNSVI

not attested not anchored not stored refs pending

Syntactic Complexity of Finite/Cofinite, Definite, and Reverse Definite Languages

David Liu, Janusz Brzozowski

arxiv:1203.2873 v2 · 2012-03-13 · 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{4NAQRVLSQLMG5TCORLWNWHNSVI}

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	2026-05-18T03:52:54.603050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34108d57282d86ecc4e8aecdb1db2aa12b8a28903a17dd8d68702dbb8d81d25

Aliases

arxiv: 1203.2873 · arxiv_version: 1203.2873v2 · doi: 10.48550/arxiv.1203.2873 · pith_short_12: 4NAQRVLSQLMG · pith_short_16: 4NAQRVLSQLMG5TCO · pith_short_8: 4NAQRVLS

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/4NAQRVLSQLMG5TCORLWNWHNSVI \
  | 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: e34108d57282d86ecc4e8aecdb1db2aa12b8a28903a17dd8d68702dbb8d81d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6289b0ea5648943e595d24d84952465815fed7e7f29a8aff2d1ebc3ed095eae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-03-13T17:32:30Z",
    "title_canon_sha256": "166493c4506e291b291fcbfa4a05f62aad500d18e8c8cd15575c5df5560958dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2873",
    "kind": "arxiv",
    "version": 2
  }
}