Pith Number

pith:YAZR4ZOW

pith:2016:YAZR4ZOW2RNAJX5FPZGUTWRBLE

not attested not anchored not stored refs pending

Weight representations of admissible affine vertex algebras

Luis Enrique Ramirez, Tomoyuki Arakawa, Vyacheslav Futorny

arxiv:1605.07580 v2 · 2016-05-24 · math.RT · 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{YAZR4ZOW2RNAJX5FPZGUTWRBLE}

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	2026-05-18T00:45:49.410303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7

Aliases

arxiv: 1605.07580 · arxiv_version: 1605.07580v2 · doi: 10.48550/arxiv.1605.07580 · pith_short_12: YAZR4ZOW2RNA · pith_short_16: YAZR4ZOW2RNAJX5F · pith_short_8: YAZR4ZOW

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/YAZR4ZOW2RNAJX5FPZGUTWRBLE \
  | 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: c0331e65d6d45a04dfa57e4d49da21593c89330307150fc52afe1ca21997a9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d38a8756ac4682e562f97ac911bf9889f7e207ec63f9ada350ae2fb2794dca",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-24T18:38:02Z",
    "title_canon_sha256": "b8a5161786cb126f8429e10a813aba6379ebebb6b42ed2a306cf1c34bbe95cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07580",
    "kind": "arxiv",
    "version": 2
  }
}