Pith Number

pith:KSACUMI3

pith:2011:KSACUMI3NG27H6CSBYZMDESOFE

not attested not anchored not stored refs pending

Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II

Geoffrey Mason, Michael P. Tuite

arxiv:1111.2264 v1 · 2011-11-09 · 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{KSACUMI3NG27H6CSBYZMDESOFE}

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	2026-05-18T04:08:43.709283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54802a311b69b5f3f8520e32c1924e2901cd68fedfb47cf50be8a15e296c66e0

Aliases

arxiv: 1111.2264 · arxiv_version: 1111.2264v1 · doi: 10.48550/arxiv.1111.2264 · pith_short_12: KSACUMI3NG27 · pith_short_16: KSACUMI3NG27H6CS · pith_short_8: KSACUMI3

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/KSACUMI3NG27H6CSBYZMDESOFE \
  | 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: 54802a311b69b5f3f8520e32c1924e2901cd68fedfb47cf50be8a15e296c66e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ed15ae646c6653e3138635b05a44f0df27e92a881732469b70d7f5737bbcf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-09T16:38:05Z",
    "title_canon_sha256": "f37db5cd71ce7c1093fd13d3c83e2e19fc7fe7d80703a98b3791607e5828325f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2264",
    "kind": "arxiv",
    "version": 1
  }
}