Pith Number

pith:SY5XW3ZH

pith:2009:SY5XW3ZHIPERWMS5OLY44D5CP3

not attested not anchored not stored refs pending

Analytic R-groups of affine Hecke algebras

Eric Opdam, Patrick Delorme

arxiv:0909.1227 v2 · 2009-09-07 · 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{SY5XW3ZHIPERWMS5OLY44D5CP3}

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	2026-05-18T04:41:36.801850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

963b7b6f2743c91b325d72f1ce0fa27eeb97c5cc5d2a9a8b066996e3453d83bb

Aliases

arxiv: 0909.1227 · arxiv_version: 0909.1227v2 · doi: 10.48550/arxiv.0909.1227 · pith_short_12: SY5XW3ZHIPER · pith_short_16: SY5XW3ZHIPERWMS5 · pith_short_8: SY5XW3ZH

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/SY5XW3ZHIPERWMS5OLY44D5CP3 \
  | 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: 963b7b6f2743c91b325d72f1ce0fa27eeb97c5cc5d2a9a8b066996e3453d83bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ddb61f179e0d1260b980a119c47054d6f14943582022df13782f49ca2040073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-07T12:03:02Z",
    "title_canon_sha256": "86d0311345393cd798c62148284bc27a62c55f2dcd2de9c85353390e7abc4d29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1227",
    "kind": "arxiv",
    "version": 2
  }
}