Pith Number

pith:XPTG5IQN

pith:2017:XPTG5IQNVGL4Z76DLNPISPGQBD

not attested not anchored not stored refs pending

On a Schr\"odinger operator with a purely imaginary potential in the semiclassical limit

Bernard Helffer, Denis Grebenkov, Yaniv Almog

arxiv:1703.07733 v2 · 2017-03-22 · math-ph · math.AP · 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{XPTG5IQNVGL4Z76DLNPISPGQBD}

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	2026-05-18T00:41:36.208810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe66ea20da997ccffc35b5e893cd008db50ab013ed452cb649afd3aa419b73a

Aliases

arxiv: 1703.07733 · arxiv_version: 1703.07733v2 · doi: 10.48550/arxiv.1703.07733 · pith_short_12: XPTG5IQNVGL4 · pith_short_16: XPTG5IQNVGL4Z76D · pith_short_8: XPTG5IQN

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/XPTG5IQNVGL4Z76DLNPISPGQBD \
  | 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: bbe66ea20da997ccffc35b5e893cd008db50ab013ed452cb649afd3aa419b73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8e1cf57f28f71ec4e67c033c3e0b9a7d2730b3ea39c412d051f8e34095d72b",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-22T16:26:41Z",
    "title_canon_sha256": "453d26ca7c70653fc8b03a960e8f10790094fc5d751e93e247f409075889e14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07733",
    "kind": "arxiv",
    "version": 2
  }
}