Pith Number

pith:APVC6HKB

pith:2016:APVC6HKBU76RQ4EBB6BOFPC54Y

not attested not anchored not stored refs pending

Introduction to W-algebras and their representation theory

Tomoyuki Arakawa

arxiv:1605.00138 v2 · 2016-04-30 · math.RT · math-ph · math.MP · 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{APVC6HKBU76RQ4EBB6BOFPC54Y}

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	2026-05-18T00:50:52.251495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ea2f1d41a7fd1870810f82e2bc5de6352a0d1bbeae7176591c7292d5555cf0

Aliases

arxiv: 1605.00138 · arxiv_version: 1605.00138v2 · doi: 10.48550/arxiv.1605.00138 · pith_short_12: APVC6HKBU76R · pith_short_16: APVC6HKBU76RQ4EB · pith_short_8: APVC6HKB

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/APVC6HKBU76RQ4EBB6BOFPC54Y \
  | 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: 03ea2f1d41a7fd1870810f82e2bc5de6352a0d1bbeae7176591c7292d5555cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ceef49c41533ae35b756e8679e4c14d80513bf8cfba4b1ed4962a7ea7c0edd0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-04-30T17:08:50Z",
    "title_canon_sha256": "e5fe8cc3fb0489b68726634e058706ee6faea5ecdf2682334d7db7a0504973ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00138",
    "kind": "arxiv",
    "version": 2
  }
}