Pith Number

pith:GROXOUCV

pith:2015:GROXOUCVI3ATRXNS32FXI4VV7P

not attested not anchored not stored refs pending

A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

Guofu Yu, Hiroshi Miki, Luc Vinet, Vincent X. Genest

arxiv:1511.09155 v2 · 2015-11-30 · 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{GROXOUCVI3ATRXNS32FXI4VV7P}

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	2026-05-18T01:24:37.996445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345d77505546c138ddb2de8b7472b5fbcef0b2b07eef14d5634bf9105f4c6a37

Aliases

arxiv: 1511.09155 · arxiv_version: 1511.09155v2 · doi: 10.48550/arxiv.1511.09155 · pith_short_12: GROXOUCVI3AT · pith_short_16: GROXOUCVI3ATRXNS · pith_short_8: GROXOUCV

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/GROXOUCVI3ATRXNS32FXI4VV7P \
  | 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: 345d77505546c138ddb2de8b7472b5fbcef0b2b07eef14d5634bf9105f4c6a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120cbfee2690789b40f8c029ca7120e8de22f9c5907e9db035d36ff7389e6cba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-30T04:59:19Z",
    "title_canon_sha256": "8fd94d99e1cc361902c1976205d064de57b126fe1e172f3e61da13e6a5849ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09155",
    "kind": "arxiv",
    "version": 2
  }
}