Pith Number

pith:DZTFSVIM

pith:2009:DZTFSVIMAHHHP4P4ZUSNFC72QH

not attested not anchored not stored refs pending

On Domains of PT Symmetric Operators Related to -y''(x) + (-1)^n x^{2n}y(x)

Carsten Trunk, Tomas Ya. Azizov

arxiv:0911.1284 v1 · 2009-11-06 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZTFSVIMAHHHP4P4ZUSNFC72QH}

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	2026-05-18T02:10:58.706872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6659550c01ce77f1fccd24d28bfa81eea80bb8e774f8e6ab36b83150def1dd

Aliases

arxiv: 0911.1284 · arxiv_version: 0911.1284v1 · doi: 10.48550/arxiv.0911.1284 · pith_short_12: DZTFSVIMAHHH · pith_short_16: DZTFSVIMAHHHP4P4 · pith_short_8: DZTFSVIM

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/DZTFSVIMAHHHP4P4ZUSNFC72QH \
  | 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: 1e6659550c01ce77f1fccd24d28bfa81eea80bb8e774f8e6ab36b83150def1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9594e4dc33cd43aba336994822b523a2609f009f32cea884e19224b50af80d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-06T15:57:47Z",
    "title_canon_sha256": "3095be8a7c9ea0e2459f704cc0cb84176c43df15ec1a16e5206258c7b7fbafd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1284",
    "kind": "arxiv",
    "version": 1
  }
}