Pith Number

pith:RXE62HOG

pith:2016:RXE62HOGQEUV7M22GYHNE5RWH6

not attested not anchored not stored refs pending

Oscillation and variation for Riesz transform associated with Bessel operators

Dongyong Yang, Huoxiong Wu, Jing Zhang

arxiv:1605.01251 v1 · 2016-05-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXE62HOGQEUV7M22GYHNE5RWH6}

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	2026-05-18T01:15:37.358165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc9ed1dc681295fb35a360ed276363f968b7b4497f1b3c86cbf515345043ec7

Aliases

arxiv: 1605.01251 · arxiv_version: 1605.01251v1 · doi: 10.48550/arxiv.1605.01251 · pith_short_12: RXE62HOGQEUV · pith_short_16: RXE62HOGQEUV7M22 · pith_short_8: RXE62HOG

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/RXE62HOGQEUV7M22GYHNE5RWH6 \
  | 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: 8dc9ed1dc681295fb35a360ed276363f968b7b4497f1b3c86cbf515345043ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539c3f11ef3148590f9fac3ba8cf8480ce7b108ae7b597cf01218c11b41a9a51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-04T12:44:52Z",
    "title_canon_sha256": "b6ca13c1e548a1cf307bf29bc2ac3dce0e09b20104a1421791040f0d36ff16dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01251",
    "kind": "arxiv",
    "version": 1
  }
}