Pith Number

pith:2O43LYJC

pith:2026:2O43LYJCJUZBDJC5RHTKH7C4LS

not attested not anchored not stored refs pending

On the Strong Unital Property for the Affine VOAs

Angela Cai

arxiv:2601.04187 v2 · 2026-01-07 · 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{2O43LYJCJUZBDJC5RHTKH7C4LS}

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	2026-07-16T00:21:44.395377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3b9b5e1224d3211a45d89e6a3fc5c5c90400cfd5e06a002d22163f898b1d883

Aliases

arxiv: 2601.04187 · arxiv_version: 2601.04187v2 · doi: 10.48550/arxiv.2601.04187 · pith_short_12: 2O43LYJCJUZB · pith_short_16: 2O43LYJCJUZBDJC5 · pith_short_8: 2O43LYJC

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/2O43LYJCJUZBDJC5RHTKH7C4LS \
  | 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: d3b9b5e1224d3211a45d89e6a3fc5c5c90400cfd5e06a002d22163f898b1d883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d17ea0923540854ba6f77fab347670ebf03eee72093404a3d7ac2d374f98d2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-01-07T18:55:50Z",
    "title_canon_sha256": "fc250e5f92ed750e10409b3ff3da6b951b4dc57075ec56d36bf2a546d9066a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04187",
    "kind": "arxiv",
    "version": 2
  }
}