Pith Number

pith:WRJQV2GN

pith:2012:WRJQV2GNKHI7CKPVVEZ2OCF5FV

not attested not anchored not stored refs pending

Simple Virasoro modules induced from codimension one subalgebras of the positive part

Emilie Wiesner, Volodymyr Mazorchuk

arxiv:1209.1691 v1 · 2012-09-08 · 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{WRJQV2GNKHI7CKPVVEZ2OCF5FV}

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	2026-05-18T00:44:53.000701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4530ae8cd51d1f129f5a933a708bd2d6894330d27152cd7f0487727596d2fbd

Aliases

arxiv: 1209.1691 · arxiv_version: 1209.1691v1 · doi: 10.48550/arxiv.1209.1691 · pith_short_12: WRJQV2GNKHI7 · pith_short_16: WRJQV2GNKHI7CKPV · pith_short_8: WRJQV2GN

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/WRJQV2GNKHI7CKPVVEZ2OCF5FV \
  | 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: b4530ae8cd51d1f129f5a933a708bd2d6894330d27152cd7f0487727596d2fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c1b4a5ad8bb68977a130c3ddaa543524e45d8b0b8873d26206a76aed5e2a7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-08T06:14:52Z",
    "title_canon_sha256": "fccdfc551ad920950f661e00aa77a811a6c9f643999ee986a32a1b92dcd6c801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1691",
    "kind": "arxiv",
    "version": 1
  }
}