Pith Number

pith:QVYJINL4

pith:1999:QVYJINL4FDEWY6P7LUK2WNC5IF

not attested not anchored not stored refs pending

Decomposition of the vertex operator algebra V_{\sqrt{2}D_l}

C. Dong, C. H. Lam, H. Yamada

arxiv:math/9912146 v1 · 1999-12-17 · 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{QVYJINL4FDEWY6P7LUK2WNC5IF}

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	2026-07-04T14:41:32.154279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857094357c28c96c79ff5d15ab345d414bd5f9cf2de380766cec2a1ae6baa961

Aliases

arxiv: math/9912146 · arxiv_version: math/9912146v1 · doi: 10.48550/arxiv.math/9912146 · pith_short_12: QVYJINL4FDEW · pith_short_16: QVYJINL4FDEWY6P7 · pith_short_8: QVYJINL4

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/QVYJINL4FDEWY6P7LUK2WNC5IF \
  | 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: 857094357c28c96c79ff5d15ab345d414bd5f9cf2de380766cec2a1ae6baa961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d58a68a3e3200f9d324a94ac24e2fd9c6a8c8c864b69a603ff64c54d88fb0c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-12-17T19:15:32Z",
    "title_canon_sha256": "774e9285f9cd55e5eb850f2c2b9d61ce57b17310258bca0c5d455865c71724b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912146",
    "kind": "arxiv",
    "version": 1
  }
}