Pith Number

pith:UG4GMBZH

pith:2004:UG4GMBZHSMIREORXDAHH72TK26

not attested not anchored not stored refs pending

Lagrangian Description of the Variational Equations

A. L. Salas-Brito, C. M. Arizmendi, H. N. N\'u\~nez-Y\'epez, J. Delgado

arxiv:math-ph/0403041 v1 · 2004-03-21 · 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{UG4GMBZHSMIREORXDAHH72TK26}

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	2026-05-18T01:04:09.790336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b86607279311123a37180e7fea6ad7b51dccf7d3df36d84fbb2e7a43d833f5

Aliases

arxiv: math-ph/0403041 · arxiv_version: math-ph/0403041v1 · doi: 10.48550/arxiv.math-ph/0403041 · pith_short_12: UG4GMBZHSMIR · pith_short_16: UG4GMBZHSMIREORX · pith_short_8: UG4GMBZH

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/UG4GMBZHSMIREORXDAHH72TK26 \
  | 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: a1b86607279311123a37180e7fea6ad7b51dccf7d3df36d84fbb2e7a43d833f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc4663908ab5326eba56ed9e93abb43d94308973c8950fba22ee5f5d77e4684",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-03-21T15:57:49Z",
    "title_canon_sha256": "1364be85afc0c554dec5b883605740fe396199cf06babbb56a454b2f8e784aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0403041",
    "kind": "arxiv",
    "version": 1
  }
}