Pith Number

pith:PFSJOOUM

pith:2017:PFSJOOUMWD4BY7KD5KZHAFZA26

not attested not anchored not stored refs pending

Radial positive definite functions and spectral theory of the Schr\"odinger operators with point interactions

M. Malamud, N. Goloshchapova, V. Zastavnyi

arxiv:1701.06436 v1 · 2017-01-23 · 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{PFSJOOUMWD4BY7KD5KZHAFZA26}

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	2026-05-18T00:52:18.397075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7964973a8cb0f81c7d43eab2701720d78500033fc82916f54ecdba82f48f97a6

Aliases

arxiv: 1701.06436 · arxiv_version: 1701.06436v1 · doi: 10.48550/arxiv.1701.06436 · pith_short_12: PFSJOOUMWD4B · pith_short_16: PFSJOOUMWD4BY7KD · pith_short_8: PFSJOOUM

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/PFSJOOUMWD4BY7KD5KZHAFZA26 \
  | 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: 7964973a8cb0f81c7d43eab2701720d78500033fc82916f54ecdba82f48f97a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe80bec543abd4e060a3802d1f0609a657cf800a9d57ef969a2b03db6ef2b45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-01-23T15:05:46Z",
    "title_canon_sha256": "72f565c31d12a444241dd0492f5ab242414443eb2ce35fdcfdacb70c0c0cc641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06436",
    "kind": "arxiv",
    "version": 1
  }
}