Pith Number

pith:KD4T7ZXD

pith:2009:KD4T7ZXDTQU4GCLMC7OKVW75V5

not attested not anchored not stored refs pending

The linkage principle for restricted critical level representations of affine Kac-Moody algebras

Peter Fiebig, Tomoyuki Arakawa

arxiv:0909.4214 v3 · 2009-09-23 · 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{KD4T7ZXDTQU4GCLMC7OKVW75V5}

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	2026-05-17T23:53:37.085383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f93fe6e39c29c3096c17dcaadbfdaf48336f29d1dcdb6dc61c03fe32f82148

Aliases

arxiv: 0909.4214 · arxiv_version: 0909.4214v3 · doi: 10.48550/arxiv.0909.4214 · pith_short_12: KD4T7ZXDTQU4 · pith_short_16: KD4T7ZXDTQU4GCLM · pith_short_8: KD4T7ZXD

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/KD4T7ZXDTQU4GCLMC7OKVW75V5 \
  | 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: 50f93fe6e39c29c3096c17dcaadbfdaf48336f29d1dcdb6dc61c03fe32f82148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d162e7a77dba7133f4a3de1ee4f85c64d2df7e3bcc0074de2dce05a888b751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-23T13:46:02Z",
    "title_canon_sha256": "d7e9c112ff72df9bb91b5548f333ba8492c13094d76ea4b35a9834f9cd23f0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4214",
    "kind": "arxiv",
    "version": 3
  }
}