Pith Number

pith:WQQ67WWG

pith:2010:WQQ67WWGRJUKM66HSPVNVUUTSY

not attested not anchored not stored refs pending

Geometrization of principal series representations of reductive groups

Masoud Kamgarpour, Travis Schedler

arxiv:1011.4529 v2 · 2010-11-19 · math.AG · 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{WQQ67WWGRJUKM66HSPVNVUUTSY}

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	2026-05-18T04:16:42.187523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b421efdac68a68a67bc793eadad2939602d2f86320097b076ca6d07621497297

Aliases

arxiv: 1011.4529 · arxiv_version: 1011.4529v2 · doi: 10.48550/arxiv.1011.4529 · pith_short_12: WQQ67WWGRJUK · pith_short_16: WQQ67WWGRJUKM66H · pith_short_8: WQQ67WWG

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/WQQ67WWGRJUKM66HSPVNVUUTSY \
  | 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: b421efdac68a68a67bc793eadad2939602d2f86320097b076ca6d07621497297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3266252e18f06129aab6a8b0ecbe97437c7fe9089847080f0bc99ea5ce3d200c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-19T21:59:19Z",
    "title_canon_sha256": "c2743556d14791ebbe5b4b0f2799244302d7663b03646d2bd0de74da031d1288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4529",
    "kind": "arxiv",
    "version": 2
  }
}