Pith Number

pith:G4BYJCWD

pith:2013:G4BYJCWDWIU27KPMMJPSFHYD2J

not attested not anchored not stored refs pending

Symmetric Groups and Quotient Complexity of Boolean Operations

Janusz Brzozowski, Jason Bell, Nelma Moreira, Rog\'erio Reis

arxiv:1310.1841 v1 · 2013-10-07 · 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{G4BYJCWDWIU27KPMMJPSFHYD2J}

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	2026-05-18T03:11:10.421286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3703848ac3b229afa9ec625f229f03d26d41279d584004438b96386e808494c7

Aliases

arxiv: 1310.1841 · arxiv_version: 1310.1841v1 · doi: 10.48550/arxiv.1310.1841 · pith_short_12: G4BYJCWDWIU2 · pith_short_16: G4BYJCWDWIU27KPM · pith_short_8: G4BYJCWD

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/G4BYJCWDWIU27KPMMJPSFHYD2J \
  | 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: 3703848ac3b229afa9ec625f229f03d26d41279d584004438b96386e808494c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d916929576f613e881018abf8ee46ffa20ce6a2128ddc81833c65078727f51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-10-07T16:06:22Z",
    "title_canon_sha256": "1041c67cf69d401351e9bf6718db5538e4a90decded5aca966bd9baa6848722d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1841",
    "kind": "arxiv",
    "version": 1
  }
}