Pith Number

pith:IY7ZCAZR

pith:2016:IY7ZCAZRDZRSK5YZYN2V3BG5TP

not attested not anchored not stored refs pending

An introduction to Dunkl theory and its analytic aspects

Jean-Philippe Anker (MAPMO)

arxiv:1611.08213 v1 · 2016-11-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IY7ZCAZRDZRSK5YZYN2V3BG5TP}

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.

Cited by

3 papers in Pith

The Rectangular Finite Free Heat Flow

Majorization Inequalities from Logarithmic Convexity

Receipt and verification

First computed	2026-05-18T00:56:43.979218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463f9103311e63257719c3755d84dd9bcb430b74f3820c7cdad84ef3159c7839

Aliases

arxiv: 1611.08213 · arxiv_version: 1611.08213v1 · doi: 10.48550/arxiv.1611.08213 · pith_short_12: IY7ZCAZRDZRS · pith_short_16: IY7ZCAZRDZRSK5YZ · pith_short_8: IY7ZCAZR

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/IY7ZCAZRDZRSK5YZYN2V3BG5TP \
  | 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: 463f9103311e63257719c3755d84dd9bcb430b74f3820c7cdad84ef3159c7839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acc8a23d2e3972a24d7f80c4c62c754e584b91cd5804c7a3ffb30b4c7e54f75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-24T15:11:27Z",
    "title_canon_sha256": "fe0554c2ddc579385b785027d70f19727e20a23729a85202021a44f04446c383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08213",
    "kind": "arxiv",
    "version": 1
  }
}