Pith Number

pith:PZPBPAEP

pith:2012:PZPBPAEPE3G6QFA5TDKCQDVYXL

not attested not anchored not stored refs pending

Unitary representations of affine Hecke algebras related to Macdonald spherical functions

E. Emsiz, J. F. van Diejen

arxiv:1209.3291 v1 · 2012-09-14 · math.RT · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZPBPAEPE3G6QFA5TDKCQDVYXL}

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	2026-05-18T03:45:32.347344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5e17808f26cde8141d98d4280eb8baee008b671022f551687dc9490e6c4188

Aliases

arxiv: 1209.3291 · arxiv_version: 1209.3291v1 · doi: 10.48550/arxiv.1209.3291 · pith_short_12: PZPBPAEPE3G6 · pith_short_16: PZPBPAEPE3G6QFA5 · pith_short_8: PZPBPAEP

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/PZPBPAEPE3G6QFA5TDKCQDVYXL \
  | 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: 7e5e17808f26cde8141d98d4280eb8baee008b671022f551687dc9490e6c4188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f7d046af4f085370a7dc0f2e2e96b050fed0606b3300c9bbd1a4586aad7c8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-14T19:37:11Z",
    "title_canon_sha256": "67f70ef9051827a09958d48a6961696212d7766098106c352325fd3c50d5ca9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3291",
    "kind": "arxiv",
    "version": 1
  }
}