Pith Number

pith:SL3LP75Q

pith:2019:SL3LP75QGN4FTXLZHTRIXFT6EJ

not attested not anchored not stored refs pending

Boundedness of variation operators associated with the heat semigroup generated by high order Schr\"odinger type operators

Chao Zhang, Suying Liu

arxiv:1902.00286 v2 · 2019-02-01 · math.CA · 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{SL3LP75QGN4FTXLZHTRIXFT6EJ}

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	2026-05-17T23:43:32.850757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92f6b7ffb0337859dd793ce28b967e225be20627e62ca8a37a1c667c22334263

Aliases

arxiv: 1902.00286 · arxiv_version: 1902.00286v2 · doi: 10.48550/arxiv.1902.00286 · pith_short_12: SL3LP75QGN4F · pith_short_16: SL3LP75QGN4FTXLZ · pith_short_8: SL3LP75Q

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/SL3LP75QGN4FTXLZHTRIXFT6EJ \
  | 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: 92f6b7ffb0337859dd793ce28b967e225be20627e62ca8a37a1c667c22334263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be277e4be1880e6ab1c21eb8b04ce5f02e53376170c07db07cd11978abef6c8b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-01T11:45:26Z",
    "title_canon_sha256": "4ee0c7a0966224d924275a4885c81f3df6d682aa3f2c3f02fdd699c8cd61be78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00286",
    "kind": "arxiv",
    "version": 2
  }
}