Pith Number

pith:AZD5E3EC

pith:2013:AZD5E3ECN7MSBUFY57XHSQVY3R

not attested not anchored not stored refs pending

Weights of simple highest weight modules over a complex semisimple Lie algebra

Apoorva Khare

arxiv:1305.4104 v1 · 2013-04-29 · 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{AZD5E3ECN7MSBUFY57XHSQVY3R}

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.

Cited by

1 paper in Pith

On the Face Map of the Admissible Set With Iwahori Level

Receipt and verification

First computed	2026-05-18T03:25:26.222815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0647d26c826fd920d0b8efee7942b8dc7f95c2c8f2beb297f658ff600803c04a

Aliases

arxiv: 1305.4104 · arxiv_version: 1305.4104v1 · doi: 10.48550/arxiv.1305.4104 · pith_short_12: AZD5E3ECN7MS · pith_short_16: AZD5E3ECN7MSBUFY · pith_short_8: AZD5E3EC

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/AZD5E3ECN7MSBUFY57XHSQVY3R \
  | 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: 0647d26c826fd920d0b8efee7942b8dc7f95c2c8f2beb297f658ff600803c04a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bae496377e4e862952eeb12489932f2308c5c730d76301c8cd7cd979798dad8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-29T23:03:57Z",
    "title_canon_sha256": "fe7ccc46a1d110614c4a3543e5b50349cdf4164ae1a914e3cbe1c167bad88af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4104",
    "kind": "arxiv",
    "version": 1
  }
}