Pith Number

pith:S5B2VEEI

pith:2011:S5B2VEEIOUTR77P3EZTS5Y6LYN

not attested not anchored not stored refs pending

Combinatorial Hopf algebra of superclass functions of type $D$

Carolina Benedetti

arxiv:1111.6185 v5 · 2011-11-26 · 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{S5B2VEEIOUTR77P3EZTS5Y6LYN}

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	2026-05-18T03:14:27.040474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9743aa908875271ffdfb26672ee3cbc36313ee821f0d5a8590ba34b2243a4e3b

Aliases

arxiv: 1111.6185 · arxiv_version: 1111.6185v5 · doi: 10.48550/arxiv.1111.6185 · pith_short_12: S5B2VEEIOUTR · pith_short_16: S5B2VEEIOUTR77P3 · pith_short_8: S5B2VEEI

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/S5B2VEEIOUTR77P3EZTS5Y6LYN \
  | 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: 9743aa908875271ffdfb26672ee3cbc36313ee821f0d5a8590ba34b2243a4e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db79a05816fa453e37f960dde63d84b77960ad988328edb994add2703ee9e427",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-26T19:10:29Z",
    "title_canon_sha256": "661fffd6cbfbeccfe1ffa423a868fb81568d543b70deba3b8c59a935b3e19533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6185",
    "kind": "arxiv",
    "version": 5
  }
}