Pith Number

pith:5E6VSKRE

pith:2018:5E6VSKREHSB6T5VVMWS2K3NHL4

not attested not anchored not stored refs pending

The spectrum of a Schr\"odinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit

Bernard Helffer, Yaniv Almog

arxiv:1803.03601 v1 · 2018-03-09 · 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{5E6VSKREHSB6T5VVMWS2K3NHL4}

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	2026-05-18T00:21:38.991809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e93d592a243c83e9f6b565a5a56da75f0b1750f6a4c8ba6136cde6693fb8cf5b

Aliases

arxiv: 1803.03601 · arxiv_version: 1803.03601v1 · doi: 10.48550/arxiv.1803.03601 · pith_short_12: 5E6VSKREHSB6 · pith_short_16: 5E6VSKREHSB6T5VV · pith_short_8: 5E6VSKRE

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/5E6VSKREHSB6T5VVMWS2K3NHL4 \
  | 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: e93d592a243c83e9f6b565a5a56da75f0b1750f6a4c8ba6136cde6693fb8cf5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a8472ba16f417b1f300423a880d73884c5a0fdcdd5ae669f78389b01a2202e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-09T17:13:46Z",
    "title_canon_sha256": "535f1246f3d10de5520cdbfb031595e760855639c94bcdc668bc2f98afa4113d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03601",
    "kind": "arxiv",
    "version": 1
  }
}