Pith Number

pith:TCOANJIK

pith:2012:TCOANJIKYNDFNKIMQELFRWRGVF

not attested not anchored not stored refs pending

Spectral theory of semibounded Schr\"odinger operators with $\delta'$-interactions

Aleksey Kostenko, Mark Malamud

arxiv:1212.1691 v1 · 2012-12-07 · math-ph · math.CA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCOANJIKYNDFNKIMQELFRWRGVF}

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	2026-05-18T02:56:44.418285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989c06a50ac34656a90c811658da26a97e8505e92aa3ec8ba7fe03f4e601d8eb

Aliases

arxiv: 1212.1691 · arxiv_version: 1212.1691v1 · doi: 10.48550/arxiv.1212.1691 · pith_short_12: TCOANJIKYNDF · pith_short_16: TCOANJIKYNDFNKIM · pith_short_8: TCOANJIK

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/TCOANJIKYNDFNKIMQELFRWRGVF \
  | 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: 989c06a50ac34656a90c811658da26a97e8505e92aa3ec8ba7fe03f4e601d8eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24d6f55d55c99369da5eaa53965588721df019dc7e6ed98e2dfef3a3101307d3",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-07T19:45:40Z",
    "title_canon_sha256": "a7a01eabae1f499ad8244670d839b73bfc4ff489fe7923bfadb209d63c4f5831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1691",
    "kind": "arxiv",
    "version": 1
  }
}