Pith Number

pith:3LPNGMAX

pith:2012:3LPNGMAX5GQD26RBXM6M6P5WTY

not attested not anchored not stored refs pending

Electromagnetism, local covariance, the Aharonov-Bohm effect and Gauss' law

Claudio Dappiaggi, Ko Sanders, Thomas-Paul Hack

arxiv:1211.6420 v3 · 2012-11-27 · math-ph · gr-qc · 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{3LPNGMAX5GQD26RBXM6M6P5WTY}

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	2026-05-18T02:46:13.247031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daded33017e9a03d7a21bb3ccf3fb69e13dd363952391ab5fde39a5febe523cd

Aliases

arxiv: 1211.6420 · arxiv_version: 1211.6420v3 · doi: 10.48550/arxiv.1211.6420 · pith_short_12: 3LPNGMAX5GQD · pith_short_16: 3LPNGMAX5GQD26RB · pith_short_8: 3LPNGMAX

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/3LPNGMAX5GQD26RBXM6M6P5WTY \
  | 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: daded33017e9a03d7a21bb3ccf3fb69e13dd363952391ab5fde39a5febe523cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b604581eaa48f150ceab72506838fd80266f64922791ddfe071478708772e7ac",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-27T20:55:11Z",
    "title_canon_sha256": "3ad780576a1077dbb777bfc73c1f88cf447cb0a8532c3181c277f2151847894a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6420",
    "kind": "arxiv",
    "version": 3
  }
}