Pith Number

pith:HHEWOV6X

pith:2017:HHEWOV6XLHJUIBOFDQU5ULMVP3

not attested not anchored not stored refs pending

On the domain of a magnetic Schr\"odinger operator with complex electric potential

B Helffer (LMJL, Jean Nourrigat (LMR), LMO)

arxiv:1709.08542 v1 · 2017-09-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHEWOV6XLHJUIBOFDQU5ULMVP3}

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	2026-05-18T00:34:25.336518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c96757d759d34405c51c29da2d957ed0fbdf48287c474b93a756fa1ca5a066

Aliases

arxiv: 1709.08542 · arxiv_version: 1709.08542v1 · doi: 10.48550/arxiv.1709.08542 · pith_short_12: HHEWOV6XLHJU · pith_short_16: HHEWOV6XLHJUIBOF · pith_short_8: HHEWOV6X

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/HHEWOV6XLHJUIBOFDQU5ULMVP3 \
  | 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: 39c96757d759d34405c51c29da2d957ed0fbdf48287c474b93a756fa1ca5a066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a11af3983e79adb72cbfec386cd0ec5dfcf31ff3f7886907f2ea7f486067f5e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-09-25T15:15:40Z",
    "title_canon_sha256": "0e69136ed03a3e9264a421eb18c1bcbf18f137236a514bbec638668b88fcb288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08542",
    "kind": "arxiv",
    "version": 1
  }
}