Pith Number

pith:7UASZ6QG

pith:2009:7UASZ6QG632OW6NCKZ36Y7PP7D

not attested not anchored not stored refs pending

1-dimensional representations and parabolic induction for W-algebras

Ivan Losev

arxiv:0906.0157 v5 · 2009-05-31 · 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{7UASZ6QG632OW6NCKZ36Y7PP7D}

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	2026-05-18T04:24:44.003299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd012cfa06f6f4eb79a25677ec7deff8c8655a2c2d92b74d71939db881d80f99

Aliases

arxiv: 0906.0157 · arxiv_version: 0906.0157v5 · doi: 10.48550/arxiv.0906.0157 · pith_short_12: 7UASZ6QG632O · pith_short_16: 7UASZ6QG632OW6NC · pith_short_8: 7UASZ6QG

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/7UASZ6QG632OW6NCKZ36Y7PP7D \
  | 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: fd012cfa06f6f4eb79a25677ec7deff8c8655a2c2d92b74d71939db881d80f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a48a7121161ddf7a9f5da69de6172b6a251d267ccd87ec80ce14ac0d2ef6526",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-05-31T14:13:15Z",
    "title_canon_sha256": "608265baac5362890d9a507bb420efef96e1b7c340673c20ef57bc21c5066614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0157",
    "kind": "arxiv",
    "version": 5
  }
}