Pith Number

pith:QNBQPNV3

pith:2012:QNBQPNV3DHS3JZBMFTLZJSIJAR

not attested not anchored not stored refs pending

Third-order superintegrable systems separable in parabolic coordinates

I. Popper, P. Winternitz, S. Post

arxiv:1204.0700 v2 · 2012-04-03 · 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{QNBQPNV3DHS3JZBMFTLZJSIJAR}

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	2026-05-18T01:57:57.639940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834307b6bb19e5b4e42c2cd794c9090460a8e7c44d1ed2f1e24d4f3e232d5ebc

Aliases

arxiv: 1204.0700 · arxiv_version: 1204.0700v2 · doi: 10.48550/arxiv.1204.0700 · pith_short_12: QNBQPNV3DHS3 · pith_short_16: QNBQPNV3DHS3JZBM · pith_short_8: QNBQPNV3

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/QNBQPNV3DHS3JZBMFTLZJSIJAR \
  | 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: 834307b6bb19e5b4e42c2cd794c9090460a8e7c44d1ed2f1e24d4f3e232d5ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45defcf37fde059b25c9851066704b0232f91d54288ad7e25ca97b3649f56c7",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-03T14:38:17Z",
    "title_canon_sha256": "0aed953a749e73e7895a22eae7812e8dec0009180635fc2efd71b759d5757342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0700",
    "kind": "arxiv",
    "version": 2
  }
}