Pith Number

pith:32RIG4Q5

pith:2017:32RIG4Q5WZH3U4VJ646CCHVISH

not attested not anchored not stored refs pending

Eigenvalue upper bounds for the magnetic Schroedinger operator

Ahmad El Soufi, Alessandro Savo, Bruno Colbois, Said Ilias

arxiv:1709.09482 v1 · 2017-09-27 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32RIG4Q5WZH3U4VJ646CCHVISH}

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	2026-05-18T00:34:11.615607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea283721db64fba72a9f73c211ea891c23de87cdf63511e9cf37338b18a3bfb

Aliases

arxiv: 1709.09482 · arxiv_version: 1709.09482v1 · doi: 10.48550/arxiv.1709.09482 · pith_short_12: 32RIG4Q5WZH3 · pith_short_16: 32RIG4Q5WZH3U4VJ · pith_short_8: 32RIG4Q5

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/32RIG4Q5WZH3U4VJ646CCHVISH \
  | 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: dea283721db64fba72a9f73c211ea891c23de87cdf63511e9cf37338b18a3bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7597d9cf9aa76fbe9a1ee0ceb8244a50c4c6cc1e158d696d1dc67de75704a2cf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-27T13:06:11Z",
    "title_canon_sha256": "c94eeb8cca88cef0528e608bfdd95e766135c1845d83e4e5065c337f6c3b2b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09482",
    "kind": "arxiv",
    "version": 1
  }
}