Pith Number

pith:OQS3OOHI

pith:2013:OQS3OOHI5QWDP56OIUPYIRFUV3

not attested not anchored not stored refs pending

Large Aperiodic Semigroups

Janusz Brzozowski, Marek Szyku{\l}a

arxiv:1401.0157 v2 · 2013-12-31 · 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{OQS3OOHI5QWDP56OIUPYIRFUV3}

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	2026-05-18T02:49:28.664216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7425b738e8ec2c37f7ce451f8444b4aee88263a356465c1d592f63cc4b5060bb

Aliases

arxiv: 1401.0157 · arxiv_version: 1401.0157v2 · doi: 10.48550/arxiv.1401.0157 · pith_short_12: OQS3OOHI5QWD · pith_short_16: OQS3OOHI5QWDP56O · pith_short_8: OQS3OOHI

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/OQS3OOHI5QWDP56OIUPYIRFUV3 \
  | 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: 7425b738e8ec2c37f7ce451f8444b4aee88263a356465c1d592f63cc4b5060bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676d1aac94f9bbfd5f6547f4c96de5a44510abd19cebb73f8b06c2d8dbd96e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-12-31T15:17:34Z",
    "title_canon_sha256": "0a70b9d409b628085bfd1e87c7edcab879b9ec26fbe07f0a77791d316fc00273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0157",
    "kind": "arxiv",
    "version": 2
  }
}