Pith Number

pith:7K7TE5D5

pith:2026:7K7TE5D52TS3LHNUMBSLYTGLXD

not attested not anchored not stored refs pending

Variational Openness: An Open Formulation of Hamilton's Principle

Francisco Monroy

arxiv:2606.08659 v1 · 2026-06-07 · 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{7K7TE5D52TS3LHNUMBSLYTGLXD}

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	2026-06-09T01:05:43.010639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabf32747dd4e5b59db46064bc4ccbb8cf31a2e6fd1eeae0efede38d7d5adbbb

Aliases

arxiv: 2606.08659 · arxiv_version: 2606.08659v1 · doi: 10.48550/arxiv.2606.08659 · pith_short_12: 7K7TE5D52TS3 · pith_short_16: 7K7TE5D52TS3LHNU · pith_short_8: 7K7TE5D5

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/7K7TE5D52TS3LHNUMBSLYTGLXD \
  | 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: fabf32747dd4e5b59db46064bc4ccbb8cf31a2e6fd1eeae0efede38d7d5adbbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b315769a298aef5581d4071663b59ab287b703d508e3e5cb61153f33aacfae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2026-06-07T14:57:18Z",
    "title_canon_sha256": "b6bc4f270538c9e93c4fa1369ddd0b651f4bb4dc462cb25336f7dde74469cfde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08659",
    "kind": "arxiv",
    "version": 1
  }
}