Pith Number

pith:2SL3VJQZ

pith:2019:2SL3VJQZD5HMJDXYTJOKNVFK77

not attested not anchored not stored refs pending

New irreducible non-weight Virasoro modules from tensor products

Haibo Chen, Jianzhi Han, Yanyong Hong, Yucai Su

arxiv:1910.09780 v2 · 2019-10-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SL3VJQZD5HMJDXYTJOKNVFK77}

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	2026-07-05T04:06:39.521341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d497baa6191f4ec48ef89a5ca6d4aaffd7983ed8666061bdea09bbf49e377573

Aliases

arxiv: 1910.09780 · arxiv_version: 1910.09780v2 · doi: 10.48550/arxiv.1910.09780 · pith_short_12: 2SL3VJQZD5HM · pith_short_16: 2SL3VJQZD5HMJDXY · pith_short_8: 2SL3VJQZ

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/2SL3VJQZD5HMJDXYTJOKNVFK77 \
  | 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: d497baa6191f4ec48ef89a5ca6d4aaffd7983ed8666061bdea09bbf49e377573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1246500661b3766b8df3d23663ddcaa98f9e1b7be01ed3ee9145c2ee210f01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-10-22T05:59:53Z",
    "title_canon_sha256": "19774d6c4b09ad8278fccac1aeb7313956facf82055d4fad4f80dfa2fc45cbcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.09780",
    "kind": "arxiv",
    "version": 2
  }
}