Pith Number

pith:NCB5USTU

pith:2012:NCB5USTU4Q5Y6T7RIOYMFOSNX6

not attested not anchored not stored refs pending

Schr\"odinger operators with concentric $\delta$-shells

Aleksey Kostenko, Hagen Neidhardt, Mark Malamud, Sergio Albeverio

arxiv:1211.4048 v1 · 2012-11-16 · math-ph · math.MP · 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{NCB5USTU4Q5Y6T7RIOYMFOSNX6}

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	2026-05-18T03:25:58.967431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6883da4a74e43b8f4ff143b0c2ba4dbf829a913e2e99c2d113b325bc00642cc1

Aliases

arxiv: 1211.4048 · arxiv_version: 1211.4048v1 · doi: 10.48550/arxiv.1211.4048 · pith_short_12: NCB5USTU4Q5Y · pith_short_16: NCB5USTU4Q5Y6T7R · pith_short_8: NCB5USTU

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/NCB5USTU4Q5Y6T7RIOYMFOSNX6 \
  | 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: 6883da4a74e43b8f4ff143b0c2ba4dbf829a913e2e99c2d113b325bc00642cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b96ea1edeb532623b4a8945f3771e87d63933fb037f386c8e1c9fae6fc848b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-16T21:56:07Z",
    "title_canon_sha256": "717c9f165929db830b74a529131b921da429003caa66798f6c185bdd2dd0c021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4048",
    "kind": "arxiv",
    "version": 1
  }
}