Pith Number

pith:4P24DV2B

pith:2010:4P24DV2BTEW6RHQUB7EOUKYRXB

not attested not anchored not stored refs pending

Quotient Complexity of Star-Free Languages

Bo Liu, Janusz Brzozowski

arxiv:1012.3962 v1 · 2010-12-17 · 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{4P24DV2BTEW6RHQUB7EOUKYRXB}

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	2026-05-18T04:33:03.496058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3f5c1d741992de89e140fc8ea2b11b870bac297d34ccf5cb626c0eef2f3bd36

Aliases

arxiv: 1012.3962 · arxiv_version: 1012.3962v1 · doi: 10.48550/arxiv.1012.3962 · pith_short_12: 4P24DV2BTEW6 · pith_short_16: 4P24DV2BTEW6RHQU · pith_short_8: 4P24DV2B

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/4P24DV2BTEW6RHQUB7EOUKYRXB \
  | 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: e3f5c1d741992de89e140fc8ea2b11b870bac297d34ccf5cb626c0eef2f3bd36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02162ce71c1898632a174af6926ae47528985bb3751c077dc06d8a80aed47b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-12-17T19:05:24Z",
    "title_canon_sha256": "935ec69d4c72dd084feb51b8c3f6a0f36f60253903039fccbe4c9d8f42ab612a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3962",
    "kind": "arxiv",
    "version": 1
  }
}