Pith Number

pith:4J6OHA6M

pith:2007:4J6OHA6MFSJ2DJQYN26EOBQGIZ

not attested not anchored not stored refs pending

Characters of representations of affine Kac-Moody Lie algebras at the critical level

Tomoyuki Arakawa

arxiv:0706.1817 v2 · 2007-06-13 · 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{4J6OHA6MFSJ2DJQYN26EOBQGIZ}

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	2026-05-18T04:09:16.236263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27ce383cc2c93a1a6186ebc470606466654ac946fc76914a0a9ac61d0a72413

Aliases

arxiv: 0706.1817 · arxiv_version: 0706.1817v2 · doi: 10.48550/arxiv.0706.1817 · pith_short_12: 4J6OHA6MFSJ2 · pith_short_16: 4J6OHA6MFSJ2DJQY · pith_short_8: 4J6OHA6M

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/4J6OHA6MFSJ2DJQYN26EOBQGIZ \
  | 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: e27ce383cc2c93a1a6186ebc470606466654ac946fc76914a0a9ac61d0a72413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dae70179702aa1bff75f400739af08e4c23369ae360c864c923b25dc6748df9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-06-13T18:09:51Z",
    "title_canon_sha256": "14a94adcdb4f376571203494c4e4be36bb726c90000e7655315f0f8140a9a0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1817",
    "kind": "arxiv",
    "version": 2
  }
}