Pith Number

pith:Y5ZHUHRO

pith:2026:Y5ZHUHRO7QDOFIA7I6T3YN4AOZ

not attested not anchored not stored refs pending

Neveu--Schwarz Irregular Vertex Operators, Decomposition Theorems, and Bilinear Operators

Hajime Nagoya

arxiv:2608.12727 v1 · 2026-08-13 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5ZHUHRO7QDOFIA7I6T3YN4AOZ}

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	2026-08-14T00:47:12.563838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7727a1e2efc06e2a01f47a7bc37807646f85b3de2c62fa7c7d6601fc6c319db

Aliases

arxiv: 2608.12727 · arxiv_version: 2608.12727v1 · doi: 10.48550/arxiv.2608.12727 · pith_short_12: Y5ZHUHRO7QDO · pith_short_16: Y5ZHUHRO7QDOFIA7 · pith_short_8: Y5ZHUHRO

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/Y5ZHUHRO7QDOFIA7I6T3YN4AOZ \
  | 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: c7727a1e2efc06e2a01f47a7bc37807646f85b3de2c62fa7c7d6601fc6c319db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ec2d6a348deb4029a7ca89fbcc5d43a39ad7e0a30d4ce4a58275c59fd1fbc0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-13T02:14:52Z",
    "title_canon_sha256": "922858104b8d1564a80d2da31cc7d6b94861006fc17340e6cf0acea142b36e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12727",
    "kind": "arxiv",
    "version": 1
  }
}