Pith Number

pith:NRXOY4N4

pith:2018:NRXOY4N4EA52VIMLUYCR6NMFRY

not attested not anchored not stored refs pending

Trace functions of the Parafermion vertex operator algebras

Chongying Dong, Li Ren, Victor G. Kac

arxiv:1810.04790 v1 · 2018-10-10 · 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{NRXOY4N4EA52VIMLUYCR6NMFRY}

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	2026-05-18T00:03:35.879128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6eec71bc203baaa18ba6051f35858e1440b8ecdb34cc527219a842e6088707

Aliases

arxiv: 1810.04790 · arxiv_version: 1810.04790v1 · doi: 10.48550/arxiv.1810.04790 · pith_short_12: NRXOY4N4EA52 · pith_short_16: NRXOY4N4EA52VIML · pith_short_8: NRXOY4N4

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/NRXOY4N4EA52VIMLUYCR6NMFRY \
  | 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: 6c6eec71bc203baaa18ba6051f35858e1440b8ecdb34cc527219a842e6088707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e75283e6aeba2d8779889907424be3d2bea92696e796c1d71a73879b964e0da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-10-10T03:16:01Z",
    "title_canon_sha256": "d2e423b3520e7bbf580938b05e8c35e915b2f661ca029b0318bb2f5e293d6170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04790",
    "kind": "arxiv",
    "version": 1
  }
}