Pith Number

pith:UR2NJWHK

pith:2012:UR2NJWHK3MYV2FUUV424LPKIUA

not attested not anchored not stored refs pending

A discrete Fourier transform associated with the affine Hecke algebra

E. Emsiz, J. F. van Diejen

arxiv:1209.3294 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{UR2NJWHK3MYV2FUUV424LPKIUA}

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	2026-05-18T03:45:32.340996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a474d4d8eadb315d1694af35c5bd48a019a8fd01f16a9d48617ed26e5551a78a

Aliases

arxiv: 1209.3294 · arxiv_version: 1209.3294v1 · doi: 10.48550/arxiv.1209.3294 · pith_short_12: UR2NJWHK3MYV · pith_short_16: UR2NJWHK3MYV2FUU · pith_short_8: UR2NJWHK

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/UR2NJWHK3MYV2FUUV424LPKIUA \
  | 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: a474d4d8eadb315d1694af35c5bd48a019a8fd01f16a9d48617ed26e5551a78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c196226687798cfb891d27d8b640c2e289fe1f5f07879a9dc952669754f11a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-14T19:42:46Z",
    "title_canon_sha256": "0dbab3cf7e811c30c979146760e292f6ffd748d7893e7a346c5309311c7e779a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3294",
    "kind": "arxiv",
    "version": 1
  }
}