Pith Number

pith:QN3KEEIK

pith:2026:QN3KEEIK4SREXHF7Y4E7YIQ4ZM

not attested not anchored not stored refs pending

The First Variational Formula and the Ostrogradsky Formalism

Charles Torre, Drew Watson, Matthew Pontius

arxiv:2608.01491 v1 · 2026-08-02 · physics.ed-ph · 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{QN3KEEIK4SREXHF7Y4E7YIQ4ZM}

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	2026-08-04T02:05:30.993437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8376a2110ae4a24b9cbfc709fc221ccb0c894a417cfe9235b7d3cf0e3e0b5eab

Aliases

arxiv: 2608.01491 · arxiv_version: 2608.01491v1 · doi: 10.48550/arxiv.2608.01491 · pith_short_12: QN3KEEIK4SRE · pith_short_16: QN3KEEIK4SREXHF7 · pith_short_8: QN3KEEIK

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/QN3KEEIK4SREXHF7Y4E7YIQ4ZM \
  | 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: 8376a2110ae4a24b9cbfc709fc221ccb0c894a417cfe9235b7d3cf0e3e0b5eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f3116a82bf581a6d823886ae22d41b83806c133c8627d3baee9cfa378308b5",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2026-08-02T20:50:03Z",
    "title_canon_sha256": "63b9e24a69dbe942ca94261441942f9d98debfaab2d4399a019f162324bfb08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01491",
    "kind": "arxiv",
    "version": 1
  }
}