Pith Number

pith:NKDJ6O64

pith:2024:NKDJ6O64ENTG7FXDIQNOXCXLW5

not attested not anchored not stored refs pending

Bimodules over twisted Zhu algebras and twisted fusion rules theorem for vertex operator algebras

Yiyi Zhu

arxiv:2409.08995 v2 · 2024-09-13 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKDJ6O64ENTG7FXDIQNOXCXLW5}

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	2026-06-23T01:12:44.434666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a869f3bdc23666f96e3441aeb8aebb777108cf5846c653404ab379c2fc10521

Aliases

arxiv: 2409.08995 · arxiv_version: 2409.08995v2 · doi: 10.48550/arxiv.2409.08995 · pith_short_12: NKDJ6O64ENTG · pith_short_16: NKDJ6O64ENTG7FXD · pith_short_8: NKDJ6O64

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/NKDJ6O64ENTG7FXDIQNOXCXLW5 \
  | 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: 6a869f3bdc23666f96e3441aeb8aebb777108cf5846c653404ab379c2fc10521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190065728b80563a2c276da60e0dce7bb2e45799ab052734f2804cfe22549cba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-09-13T17:20:09Z",
    "title_canon_sha256": "2ecbb166ebbba07a6f4560e924ef8a69f13c6c03afbfeb02cb391abeadd8ee3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08995",
    "kind": "arxiv",
    "version": 2
  }
}