Pith Number

pith:PRJYR53D

pith:2011:PRJYR53DK6O5O6BHQX3FODIHKV

not attested not anchored not stored refs pending

Second-order corrections to the non-commutative Klein-Gordon equation with a Coulomb potential

Lamine Khodja, Slimane Zaim, Yazid Delenda

arxiv:1101.0355 v6 · 2011-01-01 · math-ph · hep-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{PRJYR53DK6O5O6BHQX3FODIHKV}

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	2026-05-18T02:04:16.008705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5388f763579dd7782785f6570d07554f2d41f252441b1454a9ec138521864b

Aliases

arxiv: 1101.0355 · arxiv_version: 1101.0355v6 · doi: 10.48550/arxiv.1101.0355 · pith_short_12: PRJYR53DK6O5 · pith_short_16: PRJYR53DK6O5O6BH · pith_short_8: PRJYR53D

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/PRJYR53DK6O5O6BHQX3FODIHKV \
  | 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: 7c5388f763579dd7782785f6570d07554f2d41f252441b1454a9ec138521864b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1d375c4e634c1ecb95bed397487df5944a5a711a6a098c8c2244aedfa8f2be",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-01T17:30:05Z",
    "title_canon_sha256": "fba6407da6fb30cfea5d5cda3d5be6c816a213cf1e0228582428a2b75d41a826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0355",
    "kind": "arxiv",
    "version": 6
  }
}