Pith Number

pith:2ETLI6RA

pith:2010:2ETLI6RA5GIBBHBPPIJF3DIL3K

not attested not anchored not stored refs pending

Vertex operator algebras associated to modified regular representations of the Virasoro algebra

Igor Frenkel, Minxian Zhu

arxiv:1012.5443 v1 · 2010-12-25 · 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{2ETLI6RA5GIBBHBPPIJF3DIL3K}

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	2026-05-18T04:32:23.493945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d126b47a20e990109c2f7a125d8d0bdaabaeb016574284dd363fd5d14f073f68

Aliases

arxiv: 1012.5443 · arxiv_version: 1012.5443v1 · doi: 10.48550/arxiv.1012.5443 · pith_short_12: 2ETLI6RA5GIB · pith_short_16: 2ETLI6RA5GIBBHBP · pith_short_8: 2ETLI6RA

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/2ETLI6RA5GIBBHBPPIJF3DIL3K \
  | 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: d126b47a20e990109c2f7a125d8d0bdaabaeb016574284dd363fd5d14f073f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4851202b52918b8ff8d3976f8f60f35a437c6cd5e73d40d9d03fa6d637f034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-25T02:39:24Z",
    "title_canon_sha256": "0a76b7bf7c87ba75a925a89351c5cc876b3c8fd2f7bb621e6e8d7d6770c7c461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5443",
    "kind": "arxiv",
    "version": 1
  }
}