Pith Number

pith:32HM3XK6

pith:2014:32HM3XK6NT3LLUV7IIKNO367YW

not attested not anchored not stored refs pending

Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit

E. Emsiz, J.F. van Diejen

arxiv:1411.0463 v3 · 2014-11-03 · 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{32HM3XK6NT3LLUV7IIKNO367YW}

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	2026-05-18T01:33:49.042735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8ecddd5e6cf6b5d2bf4214d76fdfc58814ce5225a026b2f80269bfdf6989b7

Aliases

arxiv: 1411.0463 · arxiv_version: 1411.0463v3 · doi: 10.48550/arxiv.1411.0463 · pith_short_12: 32HM3XK6NT3L · pith_short_16: 32HM3XK6NT3LLUV7 · pith_short_8: 32HM3XK6

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/32HM3XK6NT3LLUV7IIKNO367YW \
  | 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: de8ecddd5e6cf6b5d2bf4214d76fdfc58814ce5225a026b2f80269bfdf6989b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089a70c62e4cac3243f87f9ebab7db523f48cd7371fad19f602d5ec4fb1ddebe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-11-03T12:44:29Z",
    "title_canon_sha256": "d8ed5dc6c1aefe591345796401ab4d0d6251c4a5364ad5ff6c0d70d93731c76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0463",
    "kind": "arxiv",
    "version": 3
  }
}