Pith Number

pith:5X32OT2E

pith:2017:5X32OT2ETDUAAZSAX6ULYF7NMY

not attested not anchored not stored refs pending

The Two-Weight Inequality for the Poisson Operator in the Bessel Setting

Brett D. Wick, Ji Li

arxiv:1707.07492 v2 · 2017-07-24 · 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{5X32OT2ETDUAAZSAX6ULYF7NMY}

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	2026-05-17T23:52:44.517500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf7a74f4498e8006640bfa8bc17ed6623ff1e3c2509750d37e4c28e9d5e5a7a

Aliases

arxiv: 1707.07492 · arxiv_version: 1707.07492v2 · doi: 10.48550/arxiv.1707.07492 · pith_short_12: 5X32OT2ETDUA · pith_short_16: 5X32OT2ETDUAAZSA · pith_short_8: 5X32OT2E

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/5X32OT2ETDUAAZSAX6ULYF7NMY \
  | 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: edf7a74f4498e8006640bfa8bc17ed6623ff1e3c2509750d37e4c28e9d5e5a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4c06e74a95fcea5b698a93fae44eb1bb7652a0009e275e08866dc58e566cec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-24T11:25:20Z",
    "title_canon_sha256": "66ad23bb1f26815dcd2f012bd8eab8ed6a04a0dd5e88956b88f61047e20976c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07492",
    "kind": "arxiv",
    "version": 2
  }
}