Pith Number

pith:FPGJXB3B

pith:2020:FPGJXB3BXPUR7JRDQMNWQKOQFO

not attested not anchored not stored refs pending

Dimension-Free Square Function Estimates for Dunkl Operators

Huaiqian Li, Mingfeng Zhao

arxiv:2003.11843 v3 · 2020-03-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPGJXB3BXPUR7JRDQMNWQKOQFO}

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	2026-07-05T03:02:07.702468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcc9b8761bbe91fa623831b6829d02bbebbee6ad695fa225b03086e5a7e36ca

Aliases

arxiv: 2003.11843 · arxiv_version: 2003.11843v3 · doi: 10.48550/arxiv.2003.11843 · pith_short_12: FPGJXB3BXPUR · pith_short_16: FPGJXB3BXPUR7JRD · pith_short_8: FPGJXB3B

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/FPGJXB3BXPUR7JRDQMNWQKOQFO \
  | 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: 2bcc9b8761bbe91fa623831b6829d02bbebbee6ad695fa225b03086e5a7e36ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b47622c4919490dd1fd7ef9d3b6eba0d71ea1a66bc7e534027a741fe7245a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-03-26T11:35:01Z",
    "title_canon_sha256": "5b2d836e309b1b00a17dbcfbe7ae8e539a62a60c3ac4da242edbf9f1502b834a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.11843",
    "kind": "arxiv",
    "version": 3
  }
}