Pith Number

pith:J4GCSY5T

pith:2012:J4GCSY5TUBAHTW2JSP6NAKYIB6

not attested not anchored not stored refs pending

Contragredient representations and characterizing the local Langlands correspondence

David A. Vogan Jr, Jeffrey Adams

arxiv:1201.0496 v3 · 2012-01-02 · 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{J4GCSY5TUBAHTW2JSP6NAKYIB6}

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.

Cited by

1 paper in Pith

Branching laws for discrete series of some affine symmetric spaces

Receipt and verification

First computed	2026-05-18T02:19:42.846529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0c2963b3a04079db4993fcd02b080fb1b6d6eefe2eb6a3a28c9585e5eccf37

Aliases

arxiv: 1201.0496 · arxiv_version: 1201.0496v3 · doi: 10.48550/arxiv.1201.0496 · pith_short_12: J4GCSY5TUBAH · pith_short_16: J4GCSY5TUBAHTW2J · pith_short_8: J4GCSY5T

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/J4GCSY5TUBAHTW2JSP6NAKYIB6 \
  | 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: 4f0c2963b3a04079db4993fcd02b080fb1b6d6eefe2eb6a3a28c9585e5eccf37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336ba250dee786b47eb6fc581eaefe40b12220227e184433cf5c222dee8fa0c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-02T17:03:11Z",
    "title_canon_sha256": "3591c6562f40f281a7570968e5b87d5803bc519d237183ccea7391b367d5fb84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0496",
    "kind": "arxiv",
    "version": 3
  }
}