Pith Number

pith:N2RMZ7OK

pith:2018:N2RMZ7OKT5INALA5R6ROYZEG2Y

not attested not anchored not stored refs pending

Hobson's formula for Dunkl operators and its applications

Nobukazu shimeno

arxiv:1804.01311 v1 · 2018-04-04 · 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{N2RMZ7OKT5INALA5R6ROYZEG2Y}

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	2026-05-18T00:19:15.452925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ea2ccfdca9f50d02c1d8fa2ec6486d60c1ac329afe284b529a0ae6ab7bbad0b

Aliases

arxiv: 1804.01311 · arxiv_version: 1804.01311v1 · doi: 10.48550/arxiv.1804.01311 · pith_short_12: N2RMZ7OKT5IN · pith_short_16: N2RMZ7OKT5INALA5 · pith_short_8: N2RMZ7OK

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/N2RMZ7OKT5INALA5R6ROYZEG2Y \
  | 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: 6ea2ccfdca9f50d02c1d8fa2ec6486d60c1ac329afe284b529a0ae6ab7bbad0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d7b1c9eddf9218737a6212661bf64ae1dac10d5b9e191886dd329dfe1169d49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-04-04T09:17:46Z",
    "title_canon_sha256": "5253e7e13a4764e346d2cc5020ef61be3e99c7a07a4ba03d55b36586e293de82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01311",
    "kind": "arxiv",
    "version": 1
  }
}