Pith Number

pith:IZYUCD4G

pith:2016:IZYUCD4GIPPYOK7A2GDXJWIGMD

not attested not anchored not stored refs pending

Simple weak modules for the fixed point subalgebra of the Heisenberg vertex operator algebra of rank $1$ by an automorphism of order $2$ and Whittaker vectors

Kenichiro Tanabe

arxiv:1608.07890 v3 · 2016-08-29 · 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{IZYUCD4GIPPYOK7A2GDXJWIGMD}

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	2026-05-18T00:34:57.817819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4671410f8643df872be0d18774d90660e5ce0831c9c7824e28ff99c0dfd8c976

Aliases

arxiv: 1608.07890 · arxiv_version: 1608.07890v3 · doi: 10.48550/arxiv.1608.07890 · pith_short_12: IZYUCD4GIPPY · pith_short_16: IZYUCD4GIPPYOK7A · pith_short_8: IZYUCD4G

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/IZYUCD4GIPPYOK7A2GDXJWIGMD \
  | 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: 4671410f8643df872be0d18774d90660e5ce0831c9c7824e28ff99c0dfd8c976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05d25fd060de031d297f7a17a1fe6eed5941d23c635f9909feb533a4574bb54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-08-29T02:10:34Z",
    "title_canon_sha256": "e307aadaf15dff1e1cbd668461bf4c81ff7b300df23d68149b1d6ac908bac1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07890",
    "kind": "arxiv",
    "version": 3
  }
}