Pith Number

pith:WHRPZIKB

pith:2014:WHRPZIKBQ77ECOPULDR3EWPZNM

not attested not anchored not stored refs pending

$q$-Virasoro/W Algebra at Root of Unity and Parafermions

Hiroshi Itoyama, Reiji Yoshioka, Takeshi Oota

arxiv:1408.4216 v2 · 2014-08-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHRPZIKBQ77ECOPULDR3EWPZNM}

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	2026-05-18T01:42:17.611355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e2fca14187fe4139f458e3b259f96b30aff69abf6faedaa93775af9bc56fae

Aliases

arxiv: 1408.4216 · arxiv_version: 1408.4216v2 · doi: 10.48550/arxiv.1408.4216 · pith_short_12: WHRPZIKBQ77E · pith_short_16: WHRPZIKBQ77ECOPU · pith_short_8: WHRPZIKB

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/WHRPZIKBQ77ECOPULDR3EWPZNM \
  | 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: b1e2fca14187fe4139f458e3b259f96b30aff69abf6faedaa93775af9bc56fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e496b5d91540b8591bc1aa61366dbfe9d8052a0130de8d13ae68e24981ab42e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-08-19T06:08:11Z",
    "title_canon_sha256": "3285b4e3adaed8864e046359ef65559d2e764f8d3f0ba3cdbfa5f9113e78c2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4216",
    "kind": "arxiv",
    "version": 2
  }
}