Pith Number

pith:K4M3MWWO

pith:2024:K4M3MWWOKL6OHAUG4ZWKENNOG6

not attested not anchored not stored refs pending

On the free LAnKe on $3n-2$ generators: a theorem of Friedmann, Hanlon, Stanley and Wachs

Dimitra-Dionysia Stergiopoulou, Mihalis Maliakas

arxiv:2401.09405 v4 · 2024-01-17 · math.RT · 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{K4M3MWWOKL6OHAUG4ZWKENNOG6}

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	2026-05-20T00:02:45.679934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5719b65ace52fce38286e66ca235ae37a3a6c4833e49bc5fd68e30b4d66893ca

Aliases

arxiv: 2401.09405 · arxiv_version: 2401.09405v4 · doi: 10.48550/arxiv.2401.09405 · pith_short_12: K4M3MWWOKL6O · pith_short_16: K4M3MWWOKL6OHAUG · pith_short_8: K4M3MWWO

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/K4M3MWWOKL6OHAUG4ZWKENNOG6 \
  | 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: 5719b65ace52fce38286e66ca235ae37a3a6c4833e49bc5fd68e30b4d66893ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41dcfac4acce91d92cf009eb0b0d84f48b4d060dd48e01f2f9524a3422d4f57",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-01-17T18:41:19Z",
    "title_canon_sha256": "d22c08b404442b0c8f779ca3c2197d42d27bd785a72f9f46d6200383ce72ccf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.09405",
    "kind": "arxiv",
    "version": 4
  }
}