Pith Number

pith:SJAKXSVB

pith:2003:SJAKXSVBW6UY4XHL656S4NRDDA

not attested not anchored not stored refs pending

Fusion rules for the vertex operator algebras M(1)^+ and V_L^+

C. Dong, H. Li, T. Abe

arxiv:math/0310425 v1 · 2003-10-28 · math.QA · 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{SJAKXSVBW6UY4XHL656S4NRDDA}

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	2026-07-04T14:37:50.027911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9240abcaa1b7a98e5cebf77d2e3623181375e982f465dfca99064c56c1a03fe7

Aliases

arxiv: math/0310425 · arxiv_version: math/0310425v1 · doi: 10.48550/arxiv.math/0310425 · pith_short_12: SJAKXSVBW6UY · pith_short_16: SJAKXSVBW6UY4XHL · pith_short_8: SJAKXSVB

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/SJAKXSVBW6UY4XHL656S4NRDDA \
  | 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: 9240abcaa1b7a98e5cebf77d2e3623181375e982f465dfca99064c56c1a03fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dd99b9d56a7471303dabb00a9e198a6ca888c0041d00f65b4596132c6862b3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-10-28T01:29:50Z",
    "title_canon_sha256": "bc168578afb409823433f5c756d67d8ea2f4beba5f13d92a08440e4dae0c6d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310425",
    "kind": "arxiv",
    "version": 1
  }
}