Pith Number

pith:GWMU6SLP

pith:2017:GWMU6SLPUELUR5QMM7VU7AD7QA

not attested not anchored not stored refs pending

On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator III: Magnetic fields that change sign

Bernard Helffer, Hynek Kova\v{r}\'ik, Mikael P. Sundqvist

arxiv:1710.07022 v4 · 2017-10-19 · 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{GWMU6SLPUELUR5QMM7VU7AD7QA}

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	2026-05-17T23:57:59.719398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35994f496fa11748f60c67eb4f807f8039652e18450c85b5bdd8888e5f332730

Aliases

arxiv: 1710.07022 · arxiv_version: 1710.07022v4 · doi: 10.48550/arxiv.1710.07022 · pith_short_12: GWMU6SLPUELU · pith_short_16: GWMU6SLPUELUR5QM · pith_short_8: GWMU6SLP

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/GWMU6SLPUELUR5QMM7VU7AD7QA \
  | 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: 35994f496fa11748f60c67eb4f807f8039652e18450c85b5bdd8888e5f332730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ceb5ad62da49fc72207b0da9e00bf739b0c99ba28af83a90d0e357630a6fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-19T07:43:00Z",
    "title_canon_sha256": "8511a40ab4a8fb09a6a9c4daf5f3ad1bcbbfe6e560b87255fbcc32a1ef2c6dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07022",
    "kind": "arxiv",
    "version": 4
  }
}