Pith Number

pith:WI63Y2BC

pith:2015:WI63Y2BCOFWK52ASUOQU3GWHTU

not attested not anchored not stored refs pending

Domains of holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups

Aprameyan Parthasarathy, Gang Liu

arxiv:1511.04011 v2 · 2015-11-12 · 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{WI63Y2BCOFWK52ASUOQU3GWHTU}

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	2026-05-18T01:09:06.849408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23dbc6822716caee812a3a14d9ac79d231eaea8f8e5fa78704ab1f0e6c9a189

Aliases

arxiv: 1511.04011 · arxiv_version: 1511.04011v2 · doi: 10.48550/arxiv.1511.04011 · pith_short_12: WI63Y2BCOFWK · pith_short_16: WI63Y2BCOFWK52AS · pith_short_8: WI63Y2BC

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/WI63Y2BCOFWK52ASUOQU3GWHTU \
  | 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: b23dbc6822716caee812a3a14d9ac79d231eaea8f8e5fa78704ab1f0e6c9a189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1584064a4e441153a3c9f85d5eefcbe6cd4a7cefcd79d1e14ee9e28020abc2b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-12T19:00:00Z",
    "title_canon_sha256": "2e3a32641424b81c5430fd1435c2d0819a10e33f4524be4f0938c0786f68e290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04011",
    "kind": "arxiv",
    "version": 2
  }
}