Pith Number

pith:E3LKPUF4

pith:2001:E3LKPUF47R6FN5C7GKIYJU44A5

not attested not anchored not stored refs pending

Time-dependent Lagrangians invariant by a vector field

F.J. Y\'aniz-Fern\'andez, M.C. Mu\~noz-Lecanda, N. Rom\'an-Roy

arxiv:math-ph/0102010 v2 · 2001-02-09 · 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{E3LKPUF47R6FN5C7GKIYJU44A5}

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	2026-05-18T01:24:22.053977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d6a7d0bcfc7c56f45f329184d39c077ee1fe6256bb8dd8b4df85848520e883

Aliases

arxiv: math-ph/0102010 · arxiv_version: math-ph/0102010v2 · doi: 10.48550/arxiv.math-ph/0102010 · pith_short_12: E3LKPUF47R6F · pith_short_16: E3LKPUF47R6FN5C7 · pith_short_8: E3LKPUF4

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/E3LKPUF47R6FN5C7GKIYJU44A5 \
  | 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: 26d6a7d0bcfc7c56f45f329184d39c077ee1fe6256bb8dd8b4df85848520e883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb585718ffd31e2a30a542696b497fc2867be50f909987f79e1b575c54a624c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-02-09T10:30:10Z",
    "title_canon_sha256": "7ccc99c981c2d4f13758d9bc9a190209b643731fb3aa80c16e3d1f1773ce9ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0102010",
    "kind": "arxiv",
    "version": 2
  }
}