Pith Number

pith:56SBGQUS

pith:2018:56SBGQUSGPBNQ3YLXWR65WWBNW

not attested not anchored not stored refs pending

A geometric formula for multiplicities of $K$-types of tempered representations

Peter Hochs, Shilin Yu, Yanli Song

arxiv:1805.02297 v1 · 2018-05-07 · math.DG · 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{56SBGQUSGPBNQ3YLXWR65WWBNW}

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	2026-05-18T00:16:40.256456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa413429233c2d86f0bbda3eedac16db047791d3448e7e7cfa0cfba5b48d7ff

Aliases

arxiv: 1805.02297 · arxiv_version: 1805.02297v1 · doi: 10.48550/arxiv.1805.02297 · pith_short_12: 56SBGQUSGPBN · pith_short_16: 56SBGQUSGPBNQ3YL · pith_short_8: 56SBGQUS

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/56SBGQUSGPBNQ3YLXWR65WWBNW \
  | 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: efa413429233c2d86f0bbda3eedac16db047791d3448e7e7cfa0cfba5b48d7ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8bd3c4913f5de3b8a2f8ba4f6a8e20b27767713a3c0b98c68d4c261724d17b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-07T00:16:44Z",
    "title_canon_sha256": "92d71077cac9eeadbbfad5361913dc9eb395e2c0eb19a9884ded8313ad2e3925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02297",
    "kind": "arxiv",
    "version": 1
  }
}