Pith Number

pith:GH3LHIDL

pith:2006:GH3LHIDLFLYGPB2H7QMJQRSVSF

not attested not anchored not stored refs pending

Non-minimal Wu-Yang monopole

Alexander B. Balakin, Alexei E. Zayats

arxiv:gr-qc/0612019 v2 · 2006-12-03 · gr-qc · astro-ph · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH3LHIDLFLYGPB2H7QMJQRSVSF}

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	2026-07-04T15:25:05.510653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f6b3a06b2af0678747fc189846559143469521025dffdba64cca9d40023c79

Aliases

arxiv: gr-qc/0612019 · arxiv_version: gr-qc/0612019v2 · doi: 10.48550/arxiv.gr-qc/0612019 · pith_short_12: GH3LHIDLFLYG · pith_short_16: GH3LHIDLFLYGPB2H · pith_short_8: GH3LHIDL

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/GH3LHIDLFLYGPB2H7QMJQRSVSF \
  | 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: 31f6b3a06b2af0678747fc189846559143469521025dffdba64cca9d40023c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6199f48613378469b8058e65a33072fe0a296d46026e1135f4946cba7bc23487",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-03T11:22:11Z",
    "title_canon_sha256": "42b664a1857b5192c2395cd4b4be58d9665b9b166e2a48a1ce189badf9f97931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612019",
    "kind": "arxiv",
    "version": 2
  }
}