Pith Number

pith:PQN4LOJW

pith:2002:PQN4LOJWWGCQQPSZDDQ4NH2ECJ

not attested not anchored not stored refs pending

On the Lie symmetries of a class of generalized Ermakov systems

F. Haas, J. Goedert

arxiv:math-ph/0211031 v1 · 2002-11-17 · 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{PQN4LOJWWGCQQPSZDDQ4NH2ECJ}

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	2026-05-18T01:38:33.989540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1bc5b936b185083e5918e1c69f44127d1f58759e9d5077ef2b990fea324c32

Aliases

arxiv: math-ph/0211031 · arxiv_version: math-ph/0211031v1 · doi: 10.48550/arxiv.math-ph/0211031 · pith_short_12: PQN4LOJWWGCQ · pith_short_16: PQN4LOJWWGCQQPSZ · pith_short_8: PQN4LOJW

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/PQN4LOJWWGCQQPSZDDQ4NH2ECJ \
  | 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: 7c1bc5b936b185083e5918e1c69f44127d1f58759e9d5077ef2b990fea324c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631265e3a3987f5f548520e0e4239b6675f391916dce546c39c8d5d08a68a751",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-17T14:10:35Z",
    "title_canon_sha256": "762bfb31aa42175d1a0f4d81dbc4ea108cbcdd08b3a7e5fb1ecdd29a29b51072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211031",
    "kind": "arxiv",
    "version": 1
  }
}