Pith Number

pith:YBLVN3L5

pith:2014:YBLVN3L5SGO24PSMZYAWFBVGTH

not attested not anchored not stored refs pending

Lattice-integrality of certain group-invariant integral forms in vertex operator algebras

Chongying Dong, Robert L. Griess Jr

arxiv:1405.4476 v1 · 2014-05-18 · math.GR · 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{YBLVN3L5SGO24PSMZYAWFBVGTH}

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	2026-05-18T02:51:40.767324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05756ed7d919dae3e4cce016286a699e6525c9e0c0f1d616cac5465fb7949c0

Aliases

arxiv: 1405.4476 · arxiv_version: 1405.4476v1 · doi: 10.48550/arxiv.1405.4476 · pith_short_12: YBLVN3L5SGO2 · pith_short_16: YBLVN3L5SGO24PSM · pith_short_8: YBLVN3L5

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/YBLVN3L5SGO24PSMZYAWFBVGTH \
  | 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: c05756ed7d919dae3e4cce016286a699e6525c9e0c0f1d616cac5465fb7949c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed559878d8e1c8a4db96e5a536ac1702733829c99c9f2607f4a15f81c842ae21",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-18T08:59:53Z",
    "title_canon_sha256": "8d7b1f9d75f4f13eaec8f0831c3310ed047403bf5729dbc2c9423b88d5caeafc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4476",
    "kind": "arxiv",
    "version": 1
  }
}