Pith Number

pith:OO4QHPAM

pith:2023:OO4QHPAMZ4MD2ZHETDXKRQ7WRK

not attested not anchored not stored refs pending

Left Regular Bands of Groups and the Mantaci--Reutenauer algebra

Franco Saliola, Jose Bastidas, Sarah Brauner

arxiv:2306.14985 v2 · 2023-06-26 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO4QHPAMZ4MD2ZHETDXKRQ7WRK}

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	2026-07-05T10:13:36.944342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b903bc0ccf183d64e498eea8c3f68a8f7aa2ce0e83fa79fbb974f5db741aee

Aliases

arxiv: 2306.14985 · arxiv_version: 2306.14985v2 · doi: 10.48550/arxiv.2306.14985 · pith_short_12: OO4QHPAMZ4MD · pith_short_16: OO4QHPAMZ4MD2ZHE · pith_short_8: OO4QHPAM

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/OO4QHPAMZ4MD2ZHETDXKRQ7WRK \
  | 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: 73b903bc0ccf183d64e498eea8c3f68a8f7aa2ce0e83fa79fbb974f5db741aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3b77f7760014c4ab694b3b99210407d9089fa57ee0472c2381645effe48b3f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-26T18:11:48Z",
    "title_canon_sha256": "4817bdb28f5061df12f73e88de7e6c3a19e2d17576afde3110fa8c73d907f19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14985",
    "kind": "arxiv",
    "version": 2
  }
}