pith. sign in
Pith Number

pith:45OFSPT7

pith:2014:45OFSPT7EKUARQWDU3PZWRVO3S
not attested not anchored not stored refs pending

Laplace-Runge-Lenz vector with spin in any dimension

A. G. Nikitin

arxiv:1403.2867 v1 · 2014-03-12 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{45OFSPT7EKUARQWDU3PZWRVO3S}

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 2026-05-18T01:44:02.247085Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e75c593e7f22a808c2c3a6df9b46aedc9dce3bac0cd1526852710b38c005a420

Aliases

arxiv: 1403.2867 · arxiv_version: 1403.2867v1 · doi: 10.48550/arxiv.1403.2867 · pith_short_12: 45OFSPT7EKUA · pith_short_16: 45OFSPT7EKUARQWD · pith_short_8: 45OFSPT7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/45OFSPT7EKUARQWDU3PZWRVO3S \
  | 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: e75c593e7f22a808c2c3a6df9b46aedc9dce3bac0cd1526852710b38c005a420
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c6ff1dff259b3dbfca3944ca16fa9d051736922cefbe8ef15f13f08e23a41dd2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-12T10:02:38Z",
    "title_canon_sha256": "a3d26c4cf438d2fc813b33169ad9acce42b018faa369a2a1ed1d5d10a2180b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2867",
    "kind": "arxiv",
    "version": 1
  }
}