Pith Number

pith:ZPR4UZOU

pith:2002:ZPR4UZOUGZNJL4SN2A7Z44ZEG2

not attested not anchored not stored refs pending

On the reality of the eigenvalues for a class of PT-symmetric oscillators

K. C. Shin

arxiv:math-ph/0201013 v2 · 2002-01-07 · math-ph · hep-th · 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{ZPR4UZOUGZNJL4SN2A7Z44ZEG2}

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.

Cited by

1 paper in Pith

Template masks for 4D-STEM

Receipt and verification

First computed	2026-07-04T16:35:01.975041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe3ca65d4365a95f24dd03f9e732436a56e6f31baf9db52d0516344004d3302

Aliases

arxiv: math-ph/0201013 · arxiv_version: math-ph/0201013v2 · doi: 10.48550/arxiv.math-ph/0201013 · pith_short_12: ZPR4UZOUGZNJ · pith_short_16: ZPR4UZOUGZNJL4SN · pith_short_8: ZPR4UZOU

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/ZPR4UZOUGZNJL4SN2A7Z44ZEG2 \
  | 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: cbe3ca65d4365a95f24dd03f9e732436a56e6f31baf9db52d0516344004d3302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd87d17b3bbd0186e8ceaeac75277dcf0040d7d03df27cde8f56a7d734077d6",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-01-07T01:19:33Z",
    "title_canon_sha256": "c7b2b46649c4c7796cc92a4f4cbe323bdefc3415779dfb4c525686b2aa417a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0201013",
    "kind": "arxiv",
    "version": 2
  }
}