Pith Number

pith:PG4OYIRN

pith:2017:PG4OYIRNHQXI4TGG72OFYJ6FCV

not attested not anchored not stored refs pending

Extensions of tensor products of ${\mathbb Z}_p$-orbifold models of the lattice vertex operator algebra $V_{\sqrt{2}A_{p-1}}$

Ching Hung Lam, Hiromichi Yamada, Toshiyuki Abe

arxiv:1708.06082 v1 · 2017-08-21 · 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{PG4OYIRNHQXI4TGG72OFYJ6FCV}

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	2026-05-18T00:37:43.297709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b8ec222d3c2e8e4cc6fe9c5c27c5157c643ab12eabda6e6d4478c7c73427a7

Aliases

arxiv: 1708.06082 · arxiv_version: 1708.06082v1 · doi: 10.48550/arxiv.1708.06082 · pith_short_12: PG4OYIRNHQXI · pith_short_16: PG4OYIRNHQXI4TGG · pith_short_8: PG4OYIRN

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/PG4OYIRNHQXI4TGG72OFYJ6FCV \
  | 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: 79b8ec222d3c2e8e4cc6fe9c5c27c5157c643ab12eabda6e6d4478c7c73427a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a6a23fa7e50266ed84f26047ad4e81c0a793c7043a635c8692dd7ebfcf85bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-08-21T05:45:22Z",
    "title_canon_sha256": "285f9719e5302b613a5454669629b62d0ff894cbaf49d455785eb85cef9799e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06082",
    "kind": "arxiv",
    "version": 1
  }
}