Pith Number

pith:JSLZTACM

pith:2026:JSLZTACMOL7TN5FOOBKGPSVVKH

not attested not anchored not stored refs pending

Random Schr\"odinger operators on manifolds and abstract bounds for multiplier-type operators

Eduard Stefanescu, Jean-Claude Cuenin, Konstantin Merz

arxiv:2606.19075 v2 · 2026-06-17 · math.SP · math.AP · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSLZTACMOL7TN5FOOBKGPSVVKH}

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	2026-06-19T16:12:58.508660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9799804c72ff36f4ae705467cab551dd9e2115108b40aa7504debc7ed7dd40

Aliases

arxiv: 2606.19075 · arxiv_version: 2606.19075v2 · doi: 10.48550/arxiv.2606.19075 · pith_short_12: JSLZTACMOL7T · pith_short_16: JSLZTACMOL7TN5FO · pith_short_8: JSLZTACM

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/JSLZTACMOL7TN5FOOBKGPSVVKH \
  | 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: 4c9799804c72ff36f4ae705467cab551dd9e2115108b40aa7504debc7ed7dd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1949845ede35699fadc04b2235528b8494e63ad425e285d1cdff3da43f054f81",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-17T13:45:49Z",
    "title_canon_sha256": "dc795bb764e206a6b74ef3092f0b7b6ecf0d0c077babf2b97d937deb73ec77ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19075",
    "kind": "arxiv",
    "version": 2
  }
}