Pith Number

pith:ATCPL7CJ

pith:2018:ATCPL7CJVWH3ZII63PHX4DTGVH

not attested not anchored not stored refs pending

Fusion categories for affine vertex algebras at admissible levels

Thomas Creutzig

arxiv:1807.00415 v1 · 2018-07-01 · math.QA · math.CT · 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{ATCPL7CJVWH3ZII63PHX4DTGVH}

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	2026-05-18T00:11:54.942416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c4f5fc49ad8fbca11edbcf7e0e66a9d575a19e812a3fc28d5b2d26a19867f0

Aliases

arxiv: 1807.00415 · arxiv_version: 1807.00415v1 · doi: 10.48550/arxiv.1807.00415 · pith_short_12: ATCPL7CJVWH3 · pith_short_16: ATCPL7CJVWH3ZII6 · pith_short_8: ATCPL7CJ

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/ATCPL7CJVWH3ZII63PHX4DTGVH \
  | 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: 04c4f5fc49ad8fbca11edbcf7e0e66a9d575a19e812a3fc28d5b2d26a19867f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b272b7f53eb0d64c6d201addcc92b5933dc1f8b8b15f3d74f7fcd8800bb1dc88",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-07-01T23:29:02Z",
    "title_canon_sha256": "9a20356dacf56672a13009092106752383a46d7d4fba4cd0c5a2cd2bc08d555e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00415",
    "kind": "arxiv",
    "version": 1
  }
}