Pith Number

pith:A5JS5PZU

pith:2004:A5JS5PZUFF4JEVVKP3LJPOU54Y

not attested not anchored not stored refs pending

Scattering theory of discrete (pseudo) Laplacians on a Weyl chamber

J.F. van Diejen

arxiv:math-ph/0412097 v1 · 2004-12-31 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5JS5PZUFF4JEVVKP3LJPOU54Y}

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	2026-05-18T04:40:20.943468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07532ebf3429789256aa7ed697ba9de63d7e5abc9f90e37e80a0139e29618353

Aliases

arxiv: math-ph/0412097 · arxiv_version: math-ph/0412097v1 · doi: 10.48550/arxiv.math-ph/0412097 · pith_short_12: A5JS5PZUFF4J · pith_short_16: A5JS5PZUFF4JEVVK · pith_short_8: A5JS5PZU

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/A5JS5PZUFF4JEVVKP3LJPOU54Y \
  | 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: 07532ebf3429789256aa7ed697ba9de63d7e5abc9f90e37e80a0139e29618353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d307f040d9c893296f871e1a257418bcc61ad7eaa56fd3f5e0969ff83280d32d",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-31T13:58:20Z",
    "title_canon_sha256": "ff4a8ea810dced73df42e5f1596e4a72aeae619237badb1e2a7a9730445933d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412097",
    "kind": "arxiv",
    "version": 1
  }
}