Pith Number

pith:CFPTITNE

pith:2016:CFPTITNE3ENHSU6Y3QPQ26QOCQ

not attested not anchored not stored refs pending

On the Green function and Poisson integrals of the Dunkl Laplacian

Margit R\"osler, Piotr Graczyk, Tomasz Luks

arxiv:1607.08746 v1 · 2016-07-29 · math.AP · 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{CFPTITNE3ENHSU6Y3QPQ26QOCQ}

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	2026-05-18T01:09:54.387401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115f344da4d91a7953d8dc1f0d7a0e1405494cab00d57cb7bdcfd9a2deea5b61

Aliases

arxiv: 1607.08746 · arxiv_version: 1607.08746v1 · doi: 10.48550/arxiv.1607.08746 · pith_short_12: CFPTITNE3ENH · pith_short_16: CFPTITNE3ENHSU6Y · pith_short_8: CFPTITNE

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/CFPTITNE3ENHSU6Y3QPQ26QOCQ \
  | 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: 115f344da4d91a7953d8dc1f0d7a0e1405494cab00d57cb7bdcfd9a2deea5b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6375779380bbfbf97479d1007d61385c7b14e40cbb32af163b1618f0c9845dd",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-29T09:43:47Z",
    "title_canon_sha256": "1b1b4db307005afa90b244ddd1ab6b80ad5abc1bde00b7e05e05090cab4a9af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08746",
    "kind": "arxiv",
    "version": 1
  }
}