Pith Number

pith:R3D75DLB

pith:2016:R3D75DLBZECHXN5J7ZTG3YJ4DR

not attested not anchored not stored refs pending

Weighted estimates for powers and Smoothing estimates of Schr\"odinger operators with inverse-square potentials

Fu Ken Ly, Ji Li, Piero D'Ancona, The Anh Bui, Xuan Thinh Duong

arxiv:1609.01938 v2 · 2016-09-07 · 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{R3D75DLBZECHXN5J7ZTG3YJ4DR}

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	2026-05-18T00:59:19.402615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec7fe8d61c9047bb7a9fe666de13c1c5befb49ed07aadd8f0fa46ff871ea40a

Aliases

arxiv: 1609.01938 · arxiv_version: 1609.01938v2 · doi: 10.48550/arxiv.1609.01938 · pith_short_12: R3D75DLBZECH · pith_short_16: R3D75DLBZECHXN5J · pith_short_8: R3D75DLB

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/R3D75DLBZECHXN5J7ZTG3YJ4DR \
  | 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: 8ec7fe8d61c9047bb7a9fe666de13c1c5befb49ed07aadd8f0fa46ff871ea40a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d4ea27c7ccb470befa3aca653c2667c67e5e2f71a100d905f1cf406197a48f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-07T11:08:11Z",
    "title_canon_sha256": "33b1f1d24534ce1c8bde006cedf15ee7fc46f2f1818eb5d8527081997352ab75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01938",
    "kind": "arxiv",
    "version": 2
  }
}