Pith Number

pith:E57ISIHV

pith:1998:E57ISIHVWNJ5EBGQ4I5EB2EUG6

not attested not anchored not stored refs pending

Equations of Motion from Field Equations and a Gauge-invariant Variational Principle for the Motion of Charged Particles

D. Chruscinski, J. Kijowski

arxiv:physics/9807038 v1 · 1998-07-22 · 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{E57ISIHVWNJ5EBGQ4I5EB2EUG6}

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	2026-05-18T01:38:04.329851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277e8920f5b353d204d0e23a40e89437927ffe38c5b5f26d014fad6ed295577b

Aliases

arxiv: physics/9807038 · arxiv_version: physics/9807038v1 · doi: 10.48550/arxiv.physics/9807038 · pith_short_12: E57ISIHVWNJ5 · pith_short_16: E57ISIHVWNJ5EBGQ · pith_short_8: E57ISIHV

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/E57ISIHVWNJ5EBGQ4I5EB2EUG6 \
  | 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: 277e8920f5b353d204d0e23a40e89437927ffe38c5b5f26d014fad6ed295577b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a6d5ce2c415e0e9ef61517c705926b56b345fdb453598387a56b94dead00e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "1998-07-22T07:38:52Z",
    "title_canon_sha256": "d49414fb843642a22d76423cbb1d57c987d92af43d7609b8c9457bf37fd49658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/9807038",
    "kind": "arxiv",
    "version": 1
  }
}