Pith Number

pith:4QP54PTU

pith:2018:4QP54PTUDTVAG72TUAVKNKVGT2

not attested not anchored not stored refs pending

Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

Ian Marquette, Yao-Zhong Zhang, Zhe Chen

arxiv:1809.08401 v1 · 2018-09-22 · math-ph · hep-th · math.MP · nlin.SI · 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{4QP54PTUDTVAG72TUAVKNKVGT2}

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	2026-05-17T23:53:55.670818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41fde3e741cea037f53a02aa6aaa69eabbb9b0bca94fe611940007dc9c9401e

Aliases

arxiv: 1809.08401 · arxiv_version: 1809.08401v1 · doi: 10.48550/arxiv.1809.08401 · pith_short_12: 4QP54PTUDTVA · pith_short_16: 4QP54PTUDTVAG72T · pith_short_8: 4QP54PTU

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/4QP54PTUDTVAG72TUAVKNKVGT2 \
  | 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: e41fde3e741cea037f53a02aa6aaa69eabbb9b0bca94fe611940007dc9c9401e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9faad500ef9c79016c4f6ccc6ce8374118946fcd8b94e7084d856289a340d695",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-09-22T07:39:08Z",
    "title_canon_sha256": "9b953b16418d26dd617f4e07b66134808e3f1e11e86d5c379dc4a5c3bbeaff37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08401",
    "kind": "arxiv",
    "version": 1
  }
}