Pith Number

pith:IBVXJP3M

pith:2018:IBVXJP3MAP2WLL4UR5CPMZMC2O

not attested not anchored not stored refs pending

The composition of singular integral operators with nonsmooth kernels

Guoen Hu, Yandan Zhang

arxiv:1806.07263 v2 · 2018-06-18 · 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{IBVXJP3MAP2WLL4UR5CPMZMC2O}

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	2026-05-17T23:50:59.596108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

406b74bf6c03f565af948f44f66582d3ab4f4b37cc00d079d3852c69046e4d50

Aliases

arxiv: 1806.07263 · arxiv_version: 1806.07263v2 · doi: 10.48550/arxiv.1806.07263 · pith_short_12: IBVXJP3MAP2W · pith_short_16: IBVXJP3MAP2WLL4U · pith_short_8: IBVXJP3M

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/IBVXJP3MAP2WLL4UR5CPMZMC2O \
  | 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: 406b74bf6c03f565af948f44f66582d3ab4f4b37cc00d079d3852c69046e4d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbca18078f0473b665d6c96f21863350048a3bb7e2a815f5ba1f067b83203aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-18T10:17:13Z",
    "title_canon_sha256": "980a4a85cfe867de3cfd5d7623f179557ebca4a4d26da7e03088c21d151c2a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07263",
    "kind": "arxiv",
    "version": 2
  }
}