Pith Number

pith:ES47LRUO

pith:2005:ES47LRUOL5GVWKWROGH5GZ5YBU

not attested not anchored not stored refs pending

The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three

Hiromichi Yamada, Kenichiro Tanabe

arxiv:math/0508175 v1 · 2005-08-10 · 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{ES47LRUOL5GVWKWROGH5GZ5YBU}

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	2026-05-18T03:04:22.865356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b9f5c68e5f4d5b2ad1718fd367b80d021d55a5b03e88eb907259901829c588

Aliases

arxiv: math/0508175 · arxiv_version: math/0508175v1 · doi: 10.48550/arxiv.math/0508175 · pith_short_12: ES47LRUOL5GV · pith_short_16: ES47LRUOL5GVWKWR · pith_short_8: ES47LRUO

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/ES47LRUOL5GVWKWROGH5GZ5YBU \
  | 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: 24b9f5c68e5f4d5b2ad1718fd367b80d021d55a5b03e88eb907259901829c588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a004564895bd2747038c0ec6f7853d8c223c420f4721b619d746c8a7f663db2e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-08-10T01:11:06Z",
    "title_canon_sha256": "53389747d428154808a074cffa807c7d41884f8134e60cb8e5b10dbb3a52cc46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508175",
    "kind": "arxiv",
    "version": 1
  }
}