Pith Number

pith:LQC727YG

pith:2012:LQC727YGN2VCH7Z2BCTJLGDCZF

not attested not anchored not stored refs pending

Approximate analytical solutions of the Dirac equation for Yukawa potential plus Tensor Interaction with any $\kappa$-value

Altug Arda, Ramazan Sever

arxiv:1211.6846 v1 · 2012-11-29 · quant-ph · math-ph · 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{LQC727YGN2VCH7Z2BCTJLGDCZF}

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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	2026-05-18T01:52:53.425302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c05fd7f066eaa23ff3a08a6959862c94af945ce996008ff42b2ec4ceb0f939e

Aliases

arxiv: 1211.6846 · arxiv_version: 1211.6846v1 · doi: 10.48550/arxiv.1211.6846 · pith_short_12: LQC727YGN2VC · pith_short_16: LQC727YGN2VCH7Z2 · pith_short_8: LQC727YG

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/LQC727YGN2VCH7Z2BCTJLGDCZF \
  | 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: 5c05fd7f066eaa23ff3a08a6959862c94af945ce996008ff42b2ec4ceb0f939e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648aa944c79573d074ca63ae88709bdcecc99b466aee3c99de489e52c90d67ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-29T08:54:21Z",
    "title_canon_sha256": "92f6bbfd9eef5b9dc5781f750393e00d6e019950f682aee9c7c66f5cbcc3ce2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6846",
    "kind": "arxiv",
    "version": 1
  }
}