Pith Number

pith:H3HWDMQK

pith:2022:H3HWDMQKRS53NDLGGOET5IVDQY

not attested not anchored not stored refs pending

BV spaces and the perimeters related to Schrodinger operators with inverse-square potentials and applications to the rank-one theorem

Jizheng Huang, Pengtao Li, Yang Han, Yu Liu

arxiv:2203.16770 v1 · 2022-03-31 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3HWDMQKRS53NDLGGOET5IVDQY}

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	2026-07-05T04:10:27.455327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ecf61b20a8cbbb68d6633893ea2a38601663bbfdbd6591c29d1154965c1e5be

Aliases

arxiv: 2203.16770 · arxiv_version: 2203.16770v1 · doi: 10.48550/arxiv.2203.16770 · pith_short_12: H3HWDMQKRS53 · pith_short_16: H3HWDMQKRS53NDLG · pith_short_8: H3HWDMQK

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/H3HWDMQKRS53NDLGGOET5IVDQY \
  | 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: 3ecf61b20a8cbbb68d6633893ea2a38601663bbfdbd6591c29d1154965c1e5be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994d4ba4927bae4852feb4bca8132a98f1edce0c8c4db7b704f34ca60de9c7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-03-31T03:09:31Z",
    "title_canon_sha256": "ee48b3e7b001ff54f766af00b9c5c3c6edd74e72caf62fa43465ec1b8f233b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.16770",
    "kind": "arxiv",
    "version": 1
  }
}