Pith Number

pith:IXYKTLX7

pith:2012:IXYKTLX7AX23AK7LKHHMZS6O66

not attested not anchored not stored refs pending

Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach

Altug Arda, Ramazan Sever

arxiv:1209.0316 v1 · 2012-09-03 · math-ph · hep-ph · math.MP · 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{IXYKTLX7AX23AK7LKHHMZS6O66}

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	2026-05-18T03:45:22.626482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f0a9aeff05f5b02beb51cecccbcef7bd5bf01238c30bcb7c50964a95a8d400

Aliases

arxiv: 1209.0316 · arxiv_version: 1209.0316v1 · doi: 10.48550/arxiv.1209.0316 · pith_short_12: IXYKTLX7AX23 · pith_short_16: IXYKTLX7AX23AK7L · pith_short_8: IXYKTLX7

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/IXYKTLX7AX23AK7LKHHMZS6O66 \
  | 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: 45f0a9aeff05f5b02beb51cecccbcef7bd5bf01238c30bcb7c50964a95a8d400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3d3c52973cd14cce72a2000d8b25ab583c64e2677c0c75c65d651631615284",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-03T11:48:46Z",
    "title_canon_sha256": "32046494e57b905e35938aaf53007442350b4bcc34e8d73ee6e2f4c2585bea07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0316",
    "kind": "arxiv",
    "version": 1
  }
}