Pith Number

pith:5PZL2Z5S

pith:2013:5PZL2Z5SJEJXTFPGGFDJJ3XZO5

not attested not anchored not stored refs pending

Formal degrees of unipotent discrete series representations and the exotic Fourier transform

Dan Ciubotaru, Eric M. Opdam

arxiv:1310.3546 v2 · 2013-10-14 · 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{5PZL2Z5SJEJXTFPGGFDJJ3XZO5}

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	2026-05-18T01:53:09.661963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf2bd67b249137995e6314694eef97772d5c0f1191c5deae96ac1137287b76a

Aliases

arxiv: 1310.3546 · arxiv_version: 1310.3546v2 · doi: 10.48550/arxiv.1310.3546 · pith_short_12: 5PZL2Z5SJEJX · pith_short_16: 5PZL2Z5SJEJXTFPG · pith_short_8: 5PZL2Z5S

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/5PZL2Z5SJEJXTFPGGFDJJ3XZO5 \
  | 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: ebf2bd67b249137995e6314694eef97772d5c0f1191c5deae96ac1137287b76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c6d40843d3830d2af56d3bb46e4f94f22490966214458f18f4e614c048467d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-14T02:26:06Z",
    "title_canon_sha256": "41b5f81ff6f39e0f98a202b7e04dcf8fc880f3410e6544403e785159e7280d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3546",
    "kind": "arxiv",
    "version": 2
  }
}