Pith Number

pith:LQ2PRZW6

pith:2017:LQ2PRZW6JMKX5YUAAPFFYYSVWW

not attested not anchored not stored refs pending

Approximation of eigenvalues of Schr\"odinger operators

Johannes F. Brasche, Robert Fulsche

arxiv:1712.03754 v1 · 2017-12-11 · 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{LQ2PRZW6JMKX5YUAAPFFYYSVWW}

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	2026-05-18T00:28:20.160300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c34f8e6de4b157ee28003ca5c6255b59d3782951b18c554143500304ba80c66

Aliases

arxiv: 1712.03754 · arxiv_version: 1712.03754v1 · doi: 10.48550/arxiv.1712.03754 · pith_short_12: LQ2PRZW6JMKX · pith_short_16: LQ2PRZW6JMKX5YUA · pith_short_8: LQ2PRZW6

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/LQ2PRZW6JMKX5YUAAPFFYYSVWW \
  | 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: 5c34f8e6de4b157ee28003ca5c6255b59d3782951b18c554143500304ba80c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236c55b7c6f4cc87b8c667f343f8051847069485a6cc4e2deddc683fc14c1f3b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-11T12:50:30Z",
    "title_canon_sha256": "41ccb176771d9bf5343a7702771af46df45b34b263c6ccb6e84ad12f0fe0a410"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03754",
    "kind": "arxiv",
    "version": 1
  }
}