Pith Number

pith:GWMYR3R6

pith:2012:GWMYR3R6R75HZSG56G7WGOWE7V

not attested not anchored not stored refs pending

Loewy series of parabolically induced $G_1T$-Verma modules

Masaharu Kaneda, Noriyuki Abe

arxiv:1210.1734 v1 · 2012-10-05 · 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{GWMYR3R6R75HZSG56G7WGOWE7V}

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	2026-05-18T02:31:48.474374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

359988ee3e8ffa7cc8ddf1bf633ac4fd50c8a98a0ea6fd2ccfc14131c478cbf4

Aliases

arxiv: 1210.1734 · arxiv_version: 1210.1734v1 · doi: 10.48550/arxiv.1210.1734 · pith_short_12: GWMYR3R6R75H · pith_short_16: GWMYR3R6R75HZSG5 · pith_short_8: GWMYR3R6

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/GWMYR3R6R75HZSG56G7WGOWE7V \
  | 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: 359988ee3e8ffa7cc8ddf1bf633ac4fd50c8a98a0ea6fd2ccfc14131c478cbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150c52dfee8bd84b35e89d8acf2f96de87f3aa3a8c10f8c0e90e32fa7aba90a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-05T12:32:33Z",
    "title_canon_sha256": "9451956d4514552fc391e626b67bacbc16bcc3852c0a9e9eda4a8a709ffc95aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1734",
    "kind": "arxiv",
    "version": 1
  }
}