Pith Number

pith:IRUFIBNI

pith:2012:IRUFIBNIFWATI7MC2EKR6YCDE5

not attested not anchored not stored refs pending

The Join of the Varieties of R-trivial and L-trivial Monoids via Combinatorics on Words

Alexander Lauser, Manfred Kufleitner

arxiv:1204.5368 v2 · 2012-04-24 · 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{IRUFIBNIFWATI7MC2EKR6YCDE5}

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	2026-05-18T02:21:16.016271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44685405a82d81347d82d1151f6043275129e41bc6492a37295b69e0506b3ff7

Aliases

arxiv: 1204.5368 · arxiv_version: 1204.5368v2 · doi: 10.48550/arxiv.1204.5368 · pith_short_12: IRUFIBNIFWAT · pith_short_16: IRUFIBNIFWATI7MC · pith_short_8: IRUFIBNI

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/IRUFIBNIFWATI7MC2EKR6YCDE5 \
  | 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: 44685405a82d81347d82d1151f6043275129e41bc6492a37295b69e0506b3ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b76ea0d31e6451f6a392b1d45ed3d1991fdfe4f93a082f84f0acf196b7dd34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-04-24T13:18:13Z",
    "title_canon_sha256": "df0a1e3bc35c8ab08186f6a045433b5b591a00135b9fd142d6f8345dfd75cb54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5368",
    "kind": "arxiv",
    "version": 2
  }
}