Pith Number

pith:ZXWHZI2K

pith:2009:ZXWHZI2K7SFR2AQDT65QYRZZCH

not attested not anchored not stored refs pending

Generalized twisted modules associated to general automorphisms of a vertex operator algebra

Yi-Zhi Huang

arxiv:0905.0514 v3 · 2009-05-05 · math.QA · hep-th · 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{ZXWHZI2K7SFR2AQDT65QYRZZCH}

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	2026-05-18T02:34:59.387829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdec7ca34afc8b1d02039fbb0c473911e57c3ee06b6ea0a90408304dd2baa9a2

Aliases

arxiv: 0905.0514 · arxiv_version: 0905.0514v3 · doi: 10.48550/arxiv.0905.0514 · pith_short_12: ZXWHZI2K7SFR · pith_short_16: ZXWHZI2K7SFR2AQD · pith_short_8: ZXWHZI2K

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/ZXWHZI2K7SFR2AQDT65QYRZZCH \
  | 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: cdec7ca34afc8b1d02039fbb0c473911e57c3ee06b6ea0a90408304dd2baa9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "471f8fc786117ef884cb9d5811a57381b8ee3d824a35ac3e6904f521b81564a0",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-05-05T01:32:46Z",
    "title_canon_sha256": "8c2d9fd9ac4286bf93de5459b7298a9a05124b27d62dd5c6e55c999eeb0b0100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0514",
    "kind": "arxiv",
    "version": 3
  }
}