Pith Number

pith:MMZGH35F

pith:2010:MMZGH35FUEZNB4ZGC4NZOGOBQT

not attested not anchored not stored refs pending

Restrictions of generalized Verma modules to symmetric pairs

Toshiyuki Kobayashi

arxiv:1008.4544 v3 · 2010-08-26 · math.RT · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMZGH35FUEZNB4ZGC4NZOGOBQT}

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	2026-05-18T03:54:26.397567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

633263efa5a132d0f326171b9719c184f1fc7813824d9ff478cbde1db328e010

Aliases

arxiv: 1008.4544 · arxiv_version: 1008.4544v3 · doi: 10.48550/arxiv.1008.4544 · pith_short_12: MMZGH35FUEZN · pith_short_16: MMZGH35FUEZNB4ZG · pith_short_8: MMZGH35F

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/MMZGH35FUEZNB4ZGC4NZOGOBQT \
  | 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: 633263efa5a132d0f326171b9719c184f1fc7813824d9ff478cbde1db328e010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9683b1a53928c77709ff9aa8d53d7c0fcdec492aab5b4623254b9dcf465d34b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-08-26T16:58:22Z",
    "title_canon_sha256": "bafc6a511a9728308a8146c9e089c3879581ba82d397166dea84614c23636e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4544",
    "kind": "arxiv",
    "version": 3
  }
}