Pith Number

pith:3M4IO7ML

pith:2016:3M4IO7ML7437WXPHXGMHJ7S6FX

not attested not anchored not stored refs pending

The universal C*-algebra of the electromagnetic field II. Topological charges and spacelike linear fields

Detlev Buchholz, Ezio Vasselli, Fabio Ciolli, Giuseppe Ruzzi

arxiv:1610.03302 v1 · 2016-10-11 · math-ph · math.MP · quant-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{3M4IO7ML7437WXPHXGMHJ7S6FX}

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	2026-05-18T00:49:14.976298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db38877d8bff37fb5de7b99874fe5e2ddc242126eb06965ed79e622371774954

Aliases

arxiv: 1610.03302 · arxiv_version: 1610.03302v1 · doi: 10.48550/arxiv.1610.03302 · pith_short_12: 3M4IO7ML7437 · pith_short_16: 3M4IO7ML7437WXPH · pith_short_8: 3M4IO7ML

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/3M4IO7ML7437WXPHXGMHJ7S6FX \
  | 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: db38877d8bff37fb5de7b99874fe5e2ddc242126eb06965ed79e622371774954

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "468dca922d800c5c82d5d52162a3728e5dce61fc8cbbdea7ed16f617d3259b58",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-11T12:23:59Z",
    "title_canon_sha256": "fcfddd27dba1882a960c5d44a271d86aa2fc81de442203d45f37de2efb8e070c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03302",
    "kind": "arxiv",
    "version": 1
  }
}