Pith Number

pith:5GYMB7OQ

pith:2011:5GYMB7OQBD6GQUP4QE5GK74Q6L

not attested not anchored not stored refs pending

Discrete components in restriction of unitary representations of rank one semisimple Lie groups

Genkai Zhang

arxiv:1111.6406 v3 · 2011-11-28 · 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{5GYMB7OQBD6GQUP4QE5GK74Q6L}

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	2026-05-18T03:29:51.253891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9b0c0fdd008fc6851fc813a657f90f2cb3beb4e17b7531c4ae907f5c04b1f64

Aliases

arxiv: 1111.6406 · arxiv_version: 1111.6406v3 · doi: 10.48550/arxiv.1111.6406 · pith_short_12: 5GYMB7OQBD6G · pith_short_16: 5GYMB7OQBD6GQUP4 · pith_short_8: 5GYMB7OQ

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/5GYMB7OQBD6GQUP4QE5GK74Q6L \
  | 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: e9b0c0fdd008fc6851fc813a657f90f2cb3beb4e17b7531c4ae907f5c04b1f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15465b8521959153b9000fd1efc2b38f888d446c3acc53044cd414ed399572e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-28T11:14:21Z",
    "title_canon_sha256": "c1c3b7b72b36329795a359698684df8be2160e4c27ac6defe9576954f6baa442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6406",
    "kind": "arxiv",
    "version": 3
  }
}