Pith Number

pith:7RHOB5YO

pith:2019:7RHOB5YOAANRDERG5WJS7LVJYH

not attested not anchored not stored refs pending

Uniform resolvent estimates for Schr\"odinger operator with an inverse-square potential

Haruya Mizutani, Jiqiang Zheng, Junyong Zhang

arxiv:1903.05040 v2 · 2019-03-12 · 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{7RHOB5YOAANRDERG5WJS7LVJYH}

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	2026-07-05T00:50:42.775173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4ee0f70e001b119226ed932faea9c1c71d7f93e3b5c3aa1f6ccac4b44710fb

Aliases

arxiv: 1903.05040 · arxiv_version: 1903.05040v2 · doi: 10.48550/arxiv.1903.05040 · pith_short_12: 7RHOB5YOAANR · pith_short_16: 7RHOB5YOAANRDERG · pith_short_8: 7RHOB5YO

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/7RHOB5YOAANRDERG5WJS7LVJYH \
  | 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: fc4ee0f70e001b119226ed932faea9c1c71d7f93e3b5c3aa1f6ccac4b44710fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fcbc265042c508948620b699eb38d5054bea02ec80404e9778ecfb8ada42ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-12T16:41:40Z",
    "title_canon_sha256": "908600827d07ab2781f7b9a0a8b6ae13f536ebab8087f55f6008d56733720ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05040",
    "kind": "arxiv",
    "version": 2
  }
}