Pith Number

pith:7BGPWJBA

pith:2016:7BGPWJBAPLBD552O5I72AHHL2E

not attested not anchored not stored refs pending

Spectral theory for Schr\"odinger operators with $\delta$-interactions supported on curves in $\mathbb R^3$

Christian K\"uhn, Jonathan Rohleder, Jussi Behrndt, Rupert L. Frank, Vladimir Lotoreichik

arxiv:1601.06433 v2 · 2016-01-24 · math.SP · 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{7BGPWJBAPLBD552O5I72AHHL2E}

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	2026-05-18T00:20:07.663665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f84cfb24207ac23ef74eea3fa01cebd100a88fffffb707c895b0ff342da02f38

Aliases

arxiv: 1601.06433 · arxiv_version: 1601.06433v2 · doi: 10.48550/arxiv.1601.06433 · pith_short_12: 7BGPWJBAPLBD · pith_short_16: 7BGPWJBAPLBD552O · pith_short_8: 7BGPWJBA

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/7BGPWJBAPLBD552O5I72AHHL2E \
  | 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: f84cfb24207ac23ef74eea3fa01cebd100a88fffffb707c895b0ff342da02f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5695ffd44b42866c338d70286d031473e5cd75cf8b094f804927864f4d5b186",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-24T21:28:48Z",
    "title_canon_sha256": "7fe26fb9863f33f1aee35558a462d28ff3a289b7fa6afbd05a8cee566cd220ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06433",
    "kind": "arxiv",
    "version": 2
  }
}