Pith Number

pith:6CF7WPTJ

pith:2011:6CF7WPTJPS6AV7E5SQPOBH67DB

not attested not anchored not stored refs pending

A root space decomposition for finite vertex algebras

Alessandro D'Andrea, Giuseppe Marchei

arxiv:1112.2969 v2 · 2011-12-13 · math.QA · 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{6CF7WPTJPS6AV7E5SQPOBH67DB}

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	2026-05-18T03:11:22.203937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f08bfb3e697cbc0afc9d941ee09fdf1864e83ce5e852397f9dcee7a98d8b729d

Aliases

arxiv: 1112.2969 · arxiv_version: 1112.2969v2 · doi: 10.48550/arxiv.1112.2969 · pith_short_12: 6CF7WPTJPS6A · pith_short_16: 6CF7WPTJPS6AV7E5 · pith_short_8: 6CF7WPTJ

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/6CF7WPTJPS6AV7E5SQPOBH67DB \
  | 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: f08bfb3e697cbc0afc9d941ee09fdf1864e83ce5e852397f9dcee7a98d8b729d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ab5b53380380fc3792b071a6d59e208a1b8a63c7444fe8a5c3a79504979c34",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-12-13T17:26:19Z",
    "title_canon_sha256": "7d36decad3b8a57aefabb8fd907f5ae751eab107b303bf17a840d0848768c9b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2969",
    "kind": "arxiv",
    "version": 2
  }
}