Pith Number

pith:D7LDHGGX

pith:2011:D7LDHGGXBYJW6L4KEW7JIRGNE7

not attested not anchored not stored refs pending

W-algebras at the critical level

Tomoyuki Arakawa

arxiv:1111.6329 v1 · 2011-11-28 · math.QA · 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{D7LDHGGXBYJW6L4KEW7JIRGNE7}

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	2026-05-18T01:09:33.312054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd63398d70e136f2f8a25be9444cd27cb213548d642908e0f2fad101d807135

Aliases

arxiv: 1111.6329 · arxiv_version: 1111.6329v1 · doi: 10.48550/arxiv.1111.6329 · pith_short_12: D7LDHGGXBYJW · pith_short_16: D7LDHGGXBYJW6L4K · pith_short_8: D7LDHGGX

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/D7LDHGGXBYJW6L4KEW7JIRGNE7 \
  | 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: 1fd63398d70e136f2f8a25be9444cd27cb213548d642908e0f2fad101d807135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e078ee937ed95656e073fe687dbb451bcb50ace172881d71efdef247bfd420",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-28T01:41:03Z",
    "title_canon_sha256": "c98c6bff2dc282d851fa9f817064290d4c6f217fbaa311021a63f7e2b5503dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6329",
    "kind": "arxiv",
    "version": 1
  }
}