Pith Number

pith:WXJCS2JA

pith:2017:WXJCS2JA5LM5AACRGQFK2MKP22

not attested not anchored not stored refs pending

Spectral semi-classical analysis of a complex Schr\"odinger operator in exterior domains

Bernard Helffer, Denis Grebenkov, Yaniv Almog

arxiv:1708.02926 v1 · 2017-08-09 · 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{WXJCS2JA5LM5AACRGQFK2MKP22}

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	2026-05-18T00:16:31.669793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d2296920ead9d00051340aad314fd68e40d9c6cd682ce62618674d3300f7fe

Aliases

arxiv: 1708.02926 · arxiv_version: 1708.02926v1 · doi: 10.48550/arxiv.1708.02926 · pith_short_12: WXJCS2JA5LM5 · pith_short_16: WXJCS2JA5LM5AACR · pith_short_8: WXJCS2JA

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/WXJCS2JA5LM5AACRGQFK2MKP22 \
  | 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: b5d2296920ead9d00051340aad314fd68e40d9c6cd682ce62618674d3300f7fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5927cb29821ed03ff97f0c1ad5f743970fbe3a1f143bf704fd5802f923943443",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-09T17:53:55Z",
    "title_canon_sha256": "6609f9a7e1163890e0d3436b16ee47d1f4ba1d81b535f841b01186f85ead65c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02926",
    "kind": "arxiv",
    "version": 1
  }
}