Pith Number

pith:LYJOA6QP

pith:2010:LYJOA6QPCKFILJUNSOSUVBN2HV

not attested not anchored not stored refs pending

Rationality of Bershadsky-Polyakov vertex algebras

Tomoyuki Arakawa

arxiv:1005.0185 v4 · 2010-05-03 · math.QA · hep-th · 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{LYJOA6QPCKFILJUNSOSUVBN2HV}

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	2026-05-18T01:09:33.317565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e12e07a0f128a85a68d93a54a85ba3d671952b212d2e39ba4dd2aaa9394d688

Aliases

arxiv: 1005.0185 · arxiv_version: 1005.0185v4 · doi: 10.48550/arxiv.1005.0185 · pith_short_12: LYJOA6QPCKFI · pith_short_16: LYJOA6QPCKFILJUN · pith_short_8: LYJOA6QP

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/LYJOA6QPCKFILJUNSOSUVBN2HV \
  | 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: 5e12e07a0f128a85a68d93a54a85ba3d671952b212d2e39ba4dd2aaa9394d688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0fb9c4e9ff3a33e83728ed35f37fc460bf30fa8f6004b54e25f855f145e117d",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-05-03T05:31:53Z",
    "title_canon_sha256": "a7fb806fb4314ead06e5997f2d31f43b891bd968fb4d06347a596a8515574499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0185",
    "kind": "arxiv",
    "version": 4
  }
}