Pith Number

pith:5O2YNKSM

pith:2026:5O2YNKSMS43VFQ3IV5PLJHG3YG

not attested not anchored not stored refs pending

Superintegrable systems of two interacting spin-$\frac12$ particles with first-order vector integrals of motion

I. Yurdusen, O. Ogulcan Tuncer

arxiv:2607.19155 v1 · 2026-07-21 · 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{5O2YNKSMS43VFQ3IV5PLJHG3YG}

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	2026-07-22T01:24:11.284606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb586aa4c973752c368af5eb49cdbc18481f085205c63fba4fe25b0dd8854c9

Aliases

arxiv: 2607.19155 · arxiv_version: 2607.19155v1 · doi: 10.48550/arxiv.2607.19155 · pith_short_12: 5O2YNKSMS43V · pith_short_16: 5O2YNKSMS43VFQ3I · pith_short_8: 5O2YNKSM

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/5O2YNKSMS43VFQ3IV5PLJHG3YG \
  | 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: ebb586aa4c973752c368af5eb49cdbc18481f085205c63fba4fe25b0dd8854c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f168f4ba34431ea2bcd804d2285ea1834c8d5cc27c0e71eb3668e73db79990",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-21T14:53:43Z",
    "title_canon_sha256": "4cafe930f68c81b68b2aa2d763c0b927fb255bf17b1a2eff17b05647a86586ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19155",
    "kind": "arxiv",
    "version": 1
  }
}