Pith Number

pith:CUKBTQDH

pith:2019:CUKBTQDHBHD6ZFQVJLOLGEIMNH

not attested not anchored not stored refs pending

Schatten class conditions for functions of Schr\"odinger operators

Alexander Pushnitski, Rupert L. Frank

arxiv:1901.05789 v2 · 2019-01-17 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUKBTQDHBHD6ZFQVJLOLGEIMNH}

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	2026-05-17T23:41:24.690767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151419c06709c7ec96154adcb3110c69eeede99b08e10ff9d6a5d3801720c245

Aliases

arxiv: 1901.05789 · arxiv_version: 1901.05789v2 · doi: 10.48550/arxiv.1901.05789 · pith_short_12: CUKBTQDHBHD6 · pith_short_16: CUKBTQDHBHD6ZFQV · pith_short_8: CUKBTQDH

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/CUKBTQDHBHD6ZFQVJLOLGEIMNH \
  | 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: 151419c06709c7ec96154adcb3110c69eeede99b08e10ff9d6a5d3801720c245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca020fdac7375bfffdee5398333e375d7df51a125677a22ef017d7f40f3b3c9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-01-17T13:56:03Z",
    "title_canon_sha256": "5a44eab234eddf830f886ae5b7b15ef083ba9facc8b008de7878549b67625f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05789",
    "kind": "arxiv",
    "version": 2
  }
}