Pith Number

pith:HG4LAJRT

pith:2012:HG4LAJRT7ZNOB4NNO46K6YCA4B

not attested not anchored not stored refs pending

Algebraic and analytic Dirac induction for graded affine Hecke algebras

Dan Ciubotaru, Eric M. Opdam, Peter E. Trapa

arxiv:1201.2130 v3 · 2012-01-10 · 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{HG4LAJRT7ZNOB4NNO46K6YCA4B}

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	2026-05-18T02:50:40.754166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39b8b02633fe5ae0f1ad773caf6040e079562a95e11e100c999bc4896667e208

Aliases

arxiv: 1201.2130 · arxiv_version: 1201.2130v3 · doi: 10.48550/arxiv.1201.2130 · pith_short_12: HG4LAJRT7ZNO · pith_short_16: HG4LAJRT7ZNOB4NN · pith_short_8: HG4LAJRT

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/HG4LAJRT7ZNOB4NNO46K6YCA4B \
  | 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: 39b8b02633fe5ae0f1ad773caf6040e079562a95e11e100c999bc4896667e208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ca58e4402fbbb102737b06df90d813101ba7663eb1631b3b7beed2a6d8fb54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-10T18:05:52Z",
    "title_canon_sha256": "6e39022a56dd159b9253a782421d1c41effed90e696197b716c7685d5fc42142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2130",
    "kind": "arxiv",
    "version": 3
  }
}