Pith Number

pith:3UFSYMPB

pith:2010:3UFSYMPBFCM22NZ4ODLQ3PO3ND

not attested not anchored not stored refs pending

Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator

E. Paal, J. Virkepu

arxiv:1002.2806 v1 · 2010-02-14 · 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{3UFSYMPBFCM22NZ4ODLQ3PO3ND}

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	2026-05-18T02:54:54.591711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0b2c31e12899ad373c70d70dbddb68c1d485011fd2c0f1539da4389cf68131

Aliases

arxiv: 1002.2806 · arxiv_version: 1002.2806v1 · doi: 10.48550/arxiv.1002.2806 · pith_short_12: 3UFSYMPBFCM2 · pith_short_16: 3UFSYMPBFCM22NZ4 · pith_short_8: 3UFSYMPB

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/3UFSYMPBFCM22NZ4ODLQ3PO3ND \
  | 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: dd0b2c31e12899ad373c70d70dbddb68c1d485011fd2c0f1539da4389cf68131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70fe32d4f8a2db5e9cf0bd729a23d24937ad83b45941fa0de263efdfe171bd1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-14T22:11:33Z",
    "title_canon_sha256": "c65a7b6855c8793488cea4c5100d581e5976df5ba4568e6a910bf8ef4eb93e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2806",
    "kind": "arxiv",
    "version": 1
  }
}