Pith Number

pith:ZDU5FVBR

pith:2011:ZDU5FVBR4ZUBQZDBKGTJ3IMBAL

not attested not anchored not stored refs pending

Bound states of the Klein-Gordon equation in D-dimensions with some physical scalar and vector exponential-type potentials including orbital centrifugal term

Sameer M. Ikhdair

arxiv:1110.0943 v1 · 2011-10-05 · 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{ZDU5FVBR4ZUBQZDBKGTJ3IMBAL}

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	2026-05-18T04:11:40.139617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e9d2d431e66818646151a69da18102ea906b6a1323ab4347568944e8f72b87

Aliases

arxiv: 1110.0943 · arxiv_version: 1110.0943v1 · doi: 10.48550/arxiv.1110.0943 · pith_short_12: ZDU5FVBR4ZUB · pith_short_16: ZDU5FVBR4ZUBQZDB · pith_short_8: ZDU5FVBR

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/ZDU5FVBR4ZUBQZDBKGTJ3IMBAL \
  | 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: c8e9d2d431e66818646151a69da18102ea906b6a1323ab4347568944e8f72b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36fbd7cf4a2f6900dd9fd5c6885e1fd81863c71c075237a266fe252466e23891",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-05T10:44:29Z",
    "title_canon_sha256": "88b8f70d022f70aefc0987cce70d48bbd8488d84cea0d70a09254f6556e17615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0943",
    "kind": "arxiv",
    "version": 1
  }
}