Pith Number

pith:AXFZO7E4

pith:2016:AXFZO7E4XTHEDIWR2XU3ZNC5LW

not attested not anchored not stored refs pending

Hardy-type inequalities for fractional powers of the Dunkl--Hermite operator

L. Roncal, \'O. Ciaurri, S. Thangavelu

arxiv:1602.04997 v2 · 2016-02-16 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXFZO7E4XTHEDIWR2XU3ZNC5LW}

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	2026-05-18T01:06:20.907212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05cb977c9cbcce41a2d1d5e9bcb45d5da3414d3b3d013f3aae759afe8708af5b

Aliases

arxiv: 1602.04997 · arxiv_version: 1602.04997v2 · doi: 10.48550/arxiv.1602.04997 · pith_short_12: AXFZO7E4XTHE · pith_short_16: AXFZO7E4XTHEDIWR · pith_short_8: AXFZO7E4

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/AXFZO7E4XTHEDIWR2XU3ZNC5LW \
  | 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: 05cb977c9cbcce41a2d1d5e9bcb45d5da3414d3b3d013f3aae759afe8708af5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09373ce35df80d9d1485e6eb8c395bc2a3c6d787579749b2612e474d180746f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-16T11:56:46Z",
    "title_canon_sha256": "768cf0e2a6c08fa8a2722b689714236ac39702bc5aa95ced927e3ad01eee3268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04997",
    "kind": "arxiv",
    "version": 2
  }
}