Pith Number

pith:5NPU4FIP

pith:2015:5NPU4FIP27ECJY5QZOHFDDDY4Q

not attested not anchored not stored refs pending

Factorization approach to superintegrable systems: Formalism and applications

Angel Ballesteros, Francisco J. Herranz, Javier Negro, Sengul Kuru

arxiv:1512.06610 v2 · 2015-12-21 · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NPU4FIP27ECJY5QZOHFDDDY4Q}

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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	2026-05-18T00:46:21.173878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb5f4e150fd7c824e3b0cb8e518c78e42756b61aaef7c7f5be85faa3283c96be

Aliases

arxiv: 1512.06610 · arxiv_version: 1512.06610v2 · doi: 10.48550/arxiv.1512.06610 · pith_short_12: 5NPU4FIP27EC · pith_short_16: 5NPU4FIP27ECJY5Q · pith_short_8: 5NPU4FIP

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/5NPU4FIP27ECJY5QZOHFDDDY4Q \
  | 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: eb5f4e150fd7c824e3b0cb8e518c78e42756b61aaef7c7f5be85faa3283c96be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4b1632a76c88cf0db5aafea2b20e3eb921690d0de57e150035900e2c85cae4",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-21T12:57:04Z",
    "title_canon_sha256": "59cf1cc872f95552d4a83573eb423fa2f4840f87687948db53a979fb15179e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06610",
    "kind": "arxiv",
    "version": 2
  }
}