Pith Number

pith:VNZPCVWU

pith:2015:VNZPCVWUHRC2ZSFMM64POBNEF2

not attested not anchored not stored refs pending

Quotient Complexities of Atoms in Regular Ideal Languages

Janusz Brzozowski, Sylvie Davies

arxiv:1503.02208 v2 · 2015-03-07 · 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{VNZPCVWUHRC2ZSFMM64POBNEF2}

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	2026-05-18T02:03:48.022428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab72f156d43c45acc8ac67b8f705a42e8515b7ffc16ffff39465a4fdcc68b436

Aliases

arxiv: 1503.02208 · arxiv_version: 1503.02208v2 · doi: 10.48550/arxiv.1503.02208 · pith_short_12: VNZPCVWUHRC2 · pith_short_16: VNZPCVWUHRC2ZSFM · pith_short_8: VNZPCVWU

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/VNZPCVWUHRC2ZSFMM64POBNEF2 \
  | 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: ab72f156d43c45acc8ac67b8f705a42e8515b7ffc16ffff39465a4fdcc68b436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21279f48627ee8d0a989f88efc41ae3ab02be9d452e21f6de9ab58901b369ee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-03-07T20:04:22Z",
    "title_canon_sha256": "60c0a58a370c5f92e78434a00ea7d0539d782aa02bb4e780c826149eaf915ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02208",
    "kind": "arxiv",
    "version": 2
  }
}