Pith Number

pith:WGJJWMAL

pith:2002:WGJJWMALE7RK4O4OVXMASYOB77

not attested not anchored not stored refs pending

From Lorenz to Coulomb and other explicit gauge transformations

J. D. Jackson (Physics, LBNL), UC Berkeley

arxiv:physics/0204034 v2 · 2002-04-12 · physics.class-ph · hep-ph · 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{WGJJWMALE7RK4O4OVXMASYOB77}

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.

Cited by

1 paper in Pith

Novel distributional Laplacians and a Coulomb-gauge problem

Receipt and verification

First computed	2026-07-04T15:21:07.400784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1929b300b27e2ae3b8eadd80961c1fffbde3bf6a1e22691d0146ed8271221cd

Aliases

arxiv: physics/0204034 · arxiv_version: physics/0204034v2 · doi: 10.48550/arxiv.physics/0204034 · pith_short_12: WGJJWMALE7RK · pith_short_16: WGJJWMALE7RK4O4O · pith_short_8: WGJJWMAL

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/WGJJWMALE7RK4O4OVXMASYOB77 \
  | 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: b1929b300b27e2ae3b8eadd80961c1fffbde3bf6a1e22691d0146ed8271221cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f52ff58f5f1103da4e2de2a537066ffe0d0fe00483832a71a2cacf499ff22f",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2002-04-12T17:52:29Z",
    "title_canon_sha256": "04a7ffb56447eafd470a03f89dc6b2371237545b4cdd375b6eca13f8b5fa2c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0204034",
    "kind": "arxiv",
    "version": 2
  }
}