Pith Number

pith:M4WSHDUY

pith:2013:M4WSHDUYPBPHHV2DDICTGV5Y6H

not attested not anchored not stored refs pending

Classical and Quantum Superintegrability with Applications

Pavel Winternitz, Sarah Post, Willard Miller Jr.

arxiv:1309.2694 v1 · 2013-09-10 · 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{M4WSHDUYPBPHHV2DDICTGV5Y6H}

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.

Cited by

1 paper in Pith

Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

Receipt and verification

First computed	2026-05-18T01:47:43.442231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672d238e98785e73d7431a053357b8f1d9fbf30aa64e36824269fabbbab90a66

Aliases

arxiv: 1309.2694 · arxiv_version: 1309.2694v1 · doi: 10.48550/arxiv.1309.2694 · pith_short_12: M4WSHDUYPBPH · pith_short_16: M4WSHDUYPBPHHV2D · pith_short_8: M4WSHDUY

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/M4WSHDUYPBPHHV2DDICTGV5Y6H \
  | 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: 672d238e98785e73d7431a053357b8f1d9fbf30aa64e36824269fabbbab90a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f629133356d5513c7649e0154c28090b9a4692f52839d689757a10fe9f6530",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-10T23:46:10Z",
    "title_canon_sha256": "56c39ce531c83910eeec685d4fbbb2f100d0704a560eed81957846fade9fbd97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2694",
    "kind": "arxiv",
    "version": 1
  }
}