Pith Number

pith:YSJPYMFD

pith:1999:YSJPYMFD2NQ547RYKUQMBHSEJO

not attested not anchored not stored refs pending

The radical of a vertex operator algebra associated to a module

C. Dong, G. Mason

arxiv:math/9904155 v2 · 1999-04-27 · 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{YSJPYMFD2NQ547RYKUQMBHSEJO}

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	2026-07-04T14:41:08.015524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c492fc30a3d361de7e385520c09e444ba6a91d94bcc24e7592e60f2f90cf2bf3

Aliases

arxiv: math/9904155 · arxiv_version: math/9904155v2 · doi: 10.48550/arxiv.math/9904155 · pith_short_12: YSJPYMFD2NQ5 · pith_short_16: YSJPYMFD2NQ547RY · pith_short_8: YSJPYMFD

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/YSJPYMFD2NQ547RYKUQMBHSEJO \
  | 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: c492fc30a3d361de7e385520c09e444ba6a91d94bcc24e7592e60f2f90cf2bf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22743cab0ce87fec0a0d0f1db83ad6b3b7cef855f37b7de628b852231eb33f66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-04-27T21:08:03Z",
    "title_canon_sha256": "f7bdd54249313ed1b3a8a27c1fb4c9aa0ee5eb28730456934d1d512e3d1fd4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904155",
    "kind": "arxiv",
    "version": 2
  }
}