Pith Number

pith:MRERVNFG

pith:2011:MRERVNFGUJFBHPXDG37TB6ZD7H

not attested not anchored not stored refs pending

Virasoro Correlation Functions for Vertex Operator Algebras

Donny Hurley, Michael P. Tuite

arxiv:1111.2170 v2 · 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{MRERVNFGUJFBHPXDG37TB6ZD7H}

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	2026-05-18T03:27:23.253471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64491ab4a6a24a13bee336ff30fb23f9ca6e43a1779b58180d65e8062844a63b

Aliases

arxiv: 1111.2170 · arxiv_version: 1111.2170v2 · doi: 10.48550/arxiv.1111.2170 · pith_short_12: MRERVNFGUJFB · pith_short_16: MRERVNFGUJFBHPXD · pith_short_8: MRERVNFG

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/MRERVNFGUJFBHPXDG37TB6ZD7H \
  | 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: 64491ab4a6a24a13bee336ff30fb23f9ca6e43a1779b58180d65e8062844a63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe28ae93ba0e04b1fd7347cc0fe3937036ca793f9b7c26ea285efb7d95fa5007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-09T10:56:06Z",
    "title_canon_sha256": "2062f17f72dbd857da27ce1bcc1c8ae7c278e0bf9ebb3f3849edf8ce3764b2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2170",
    "kind": "arxiv",
    "version": 2
  }
}