Pith Number

pith:2IDSY5NM

pith:2025:2IDSY5NMQB6FDOEMKGU2VEGBID

not attested not anchored not stored refs pending

Lie algebras with compatible scalar products for non-homogeneous Hamiltonian operators

Emanuele Sgroi, Francesco Oliveri, Giorgio Gubbiotti, Pierandrea Vergallo

arxiv:2502.05137 v1 · 2025-02-07 · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IDSY5NMQB6FDOEMKGU2VEGBID}

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	2026-07-05T10:11:09.839465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2072c75ac807c51b88c51a9aa90c140e0bb10377a53f8358958b958724f8b19

Aliases

arxiv: 2502.05137 · arxiv_version: 2502.05137v1 · doi: 10.48550/arxiv.2502.05137 · pith_short_12: 2IDSY5NMQB6F · pith_short_16: 2IDSY5NMQB6FDOEM · pith_short_8: 2IDSY5NM

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/2IDSY5NMQB6FDOEMKGU2VEGBID \
  | 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: d2072c75ac807c51b88c51a9aa90c140e0bb10377a53f8358958b958724f8b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f772e7e66a65fcf30731f84653ef6a46bf8fcf6e24169c758dc070656a0c22f",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-07T18:14:12Z",
    "title_canon_sha256": "2010c907f11a06389fab8d8f10a90b90565ac7187298977ab3111c5cb8935e66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05137",
    "kind": "arxiv",
    "version": 1
  }
}