Pith Number

pith:LBD6MDKA

pith:2007:LBD6MDKAT2BKKZWLRLGHZF7T6Q

not attested not anchored not stored refs pending

Whittaker unitary dual of affine graded Hecke algebras of type E

Dan Barbasch, Dan Ciubotaru

arxiv:0708.4036 v2 · 2007-08-29 · 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{LBD6MDKAT2BKKZWLRLGHZF7T6Q}

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	2026-05-18T03:02:45.120708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5847e60d409e82a566cb8acc7c97f3f432eecad60d1a6739c9761359fa7d23fd

Aliases

arxiv: 0708.4036 · arxiv_version: 0708.4036v2 · doi: 10.48550/arxiv.0708.4036 · pith_short_12: LBD6MDKAT2BK · pith_short_16: LBD6MDKAT2BKKZWL · pith_short_8: LBD6MDKA

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/LBD6MDKAT2BKKZWLRLGHZF7T6Q \
  | 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: 5847e60d409e82a566cb8acc7c97f3f432eecad60d1a6739c9761359fa7d23fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d945832f2b053aa13a4f7831f22dc56cc9c34df15faab60b962e029f10eead1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-08-29T22:52:04Z",
    "title_canon_sha256": "0a3c78408efc19e5c0b5e9cf9689381468f24089f6fa9770d288a7809139da1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4036",
    "kind": "arxiv",
    "version": 2
  }
}