Pith Number

pith:2PQ22XZ5

pith:2010:2PQ22XZ5OCHBJMAOVQKOUAALZ6

not attested not anchored not stored refs pending

The inverse problem for Lagrangian systems with certain non-conservative forces

M. Crampin, T. Mestdag, W. Sarlet

arxiv:1004.0674 v1 · 2010-04-05 · math.DG · 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{2PQ22XZ5OCHBJMAOVQKOUAALZ6}

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	2026-05-18T04:27:03.719910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e1ad5f3d708e14b00eac14ea000bcf918322c3d1e97750118148b113562c8c

Aliases

arxiv: 1004.0674 · arxiv_version: 1004.0674v1 · doi: 10.48550/arxiv.1004.0674 · pith_short_12: 2PQ22XZ5OCHB · pith_short_16: 2PQ22XZ5OCHBJMAO · pith_short_8: 2PQ22XZ5

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/2PQ22XZ5OCHBJMAOVQKOUAALZ6 \
  | 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: d3e1ad5f3d708e14b00eac14ea000bcf918322c3d1e97750118148b113562c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f79e094dbacb9ac678a331b1e77c218214e96d5b0b0e751714828bbfeb1c35",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-05T18:19:59Z",
    "title_canon_sha256": "76fbe1e88351141db9180463c5967766c50c9ec63960fac18c27d6a116dc8f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0674",
    "kind": "arxiv",
    "version": 1
  }
}