Pith Number

pith:H5CYE452

pith:2015:H5CYE452DFKTLBVYRTBTLCERJL

not attested not anchored not stored refs pending

Number of right ideals and a $q$-analogue of indecomposable permutations

Christophe Reutenauer (LaCIM), Roland Bacher (IF)

arxiv:1511.00426 v1 · 2015-11-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5CYE452DFKTLBVYRTBTLCERJL}

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	2026-05-18T01:28:12.342982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f458273ba19553586b88cc33588914ae6f8e8f582a167a08fb3936813f2506e

Aliases

arxiv: 1511.00426 · arxiv_version: 1511.00426v1 · doi: 10.48550/arxiv.1511.00426 · pith_short_12: H5CYE452DFKT · pith_short_16: H5CYE452DFKTLBVY · pith_short_8: H5CYE452

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/H5CYE452DFKTLBVYRTBTLCERJL \
  | 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: 3f458273ba19553586b88cc33588914ae6f8e8f582a167a08fb3936813f2506e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c0e289dc1fcfa613bd300fa05709af0e572c611c052e041c952c1bf967658b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-02T10:07:39Z",
    "title_canon_sha256": "bc1636eaa7f96c16cc4d1b2528e07e1d9523b9bb2e4b12565c35cd3b4d2e7daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00426",
    "kind": "arxiv",
    "version": 1
  }
}