Pith Number

pith:6DBBF77E

pith:2001:6DBBF77ECK335N32XQQAYTNGVX

not attested not anchored not stored refs pending

Variational equations of Lagrangian systems and Hamilton's principle

A. L. Salas-Brito, H.N N\'u\~nez-Y\'epez, Joaqu\'in Delgado

arxiv:math-ph/0107006 v1 · 2001-07-08 · math-ph · gr-qc · math.DG · math.MP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DBBF77ECK335N32XQQAYTNGVX}

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	2026-05-18T01:09:07.974820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c212ffe412b7beb77abc200c4da6adff70011bff1454634109419f88854b66

Aliases

arxiv: math-ph/0107006 · arxiv_version: math-ph/0107006v1 · doi: 10.48550/arxiv.math-ph/0107006 · pith_short_12: 6DBBF77ECK33 · pith_short_16: 6DBBF77ECK335N32 · pith_short_8: 6DBBF77E

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/6DBBF77ECK335N32XQQAYTNGVX \
  | 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: f0c212ffe412b7beb77abc200c4da6adff70011bff1454634109419f88854b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48286e3e0df83cf57fee165bdafce1fe801c1785b688b23c1527e61f3477f686",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-07-08T21:00:05Z",
    "title_canon_sha256": "2d6b88517bbfa44444a6c299781f0e80cfeb798bbf04f10ce8acdc741dfb3a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0107006",
    "kind": "arxiv",
    "version": 1
  }
}