Pith Number

pith:QJOG3UVJ

pith:2013:QJOG3UVJ5LZQSDMCJJOTQARI4I

not attested not anchored not stored refs pending

Associated symmetric pair and multiplicities of admissible restriction of Discrete Series

Jorge A. Vargas

arxiv:1311.3851 v1 · 2013-11-15 · 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{QJOG3UVJ5LZQSDMCJJOTQARI4I}

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	2026-05-18T03:07:02.878650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825c6dd2a9eaf3090d824a5d380228e23ac9fc04b54a545846882a3205c91b4b

Aliases

arxiv: 1311.3851 · arxiv_version: 1311.3851v1 · doi: 10.48550/arxiv.1311.3851 · pith_short_12: QJOG3UVJ5LZQ · pith_short_16: QJOG3UVJ5LZQSDMC · pith_short_8: QJOG3UVJ

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/QJOG3UVJ5LZQSDMCJJOTQARI4I \
  | 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: 825c6dd2a9eaf3090d824a5d380228e23ac9fc04b54a545846882a3205c91b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f036a51e6116ee26611d576028986335d7fc9b3dfa2bd1d20933e3e28e393f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-11-15T13:52:42Z",
    "title_canon_sha256": "f006bf0be9fc3196578a76cae4d9baf9f1f77d25e606f96d1abda5e967bf69ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3851",
    "kind": "arxiv",
    "version": 1
  }
}