Pith Number

pith:XHWIM7DO

pith:2012:XHWIM7DO2TO64DDZRSOGAGGG5F

not attested not anchored not stored refs pending

Geometric Satake, Springer correspondence, and small representations II

Anthony Henderson, Pramod N. Achar, Simon Riche

arxiv:1205.5089 v4 · 2012-05-23 · 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{XHWIM7DO2TO64DDZRSOGAGGG5F}

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	2026-05-18T01:35:43.814341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ec867c6ed4ddee0c798c9c6018c6e97b12f273fab375c0b7363ecf45e366b1

Aliases

arxiv: 1205.5089 · arxiv_version: 1205.5089v4 · doi: 10.48550/arxiv.1205.5089 · pith_short_12: XHWIM7DO2TO6 · pith_short_16: XHWIM7DO2TO64DDZ · pith_short_8: XHWIM7DO

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/XHWIM7DO2TO64DDZRSOGAGGG5F \
  | 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: b9ec867c6ed4ddee0c798c9c6018c6e97b12f273fab375c0b7363ecf45e366b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b88805042224615b302407173d23d2f40b28b8b8bb4ba4daf56d5135841eda9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-05-23T04:19:46Z",
    "title_canon_sha256": "d507438320835e3aac2a1a0038eb29b96d605e827fe1df1604793bdc00682e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5089",
    "kind": "arxiv",
    "version": 4
  }
}