Pith Number

pith:KW32YUTR

pith:2001:KW32YUTRUMSBMOAVZCUX4RULKI

not attested not anchored not stored refs pending

Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: the regular case

Eugen Radu

arxiv:gr-qc/0109015 v2 · 2001-09-05 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW32YUTRUMSBMOAVZCUX4RULKI}

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	2026-05-18T02:37:35.831384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b7ac5271a324163815c8a97e468b52146c968ba8653626709babdff2293fd1

Aliases

arxiv: gr-qc/0109015 · arxiv_version: gr-qc/0109015v2 · doi: 10.48550/arxiv.gr-qc/0109015 · pith_short_12: KW32YUTRUMSB · pith_short_16: KW32YUTRUMSBMOAV · pith_short_8: KW32YUTR

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/KW32YUTRUMSBMOAVZCUX4RULKI \
  | 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: 55b7ac5271a324163815c8a97e468b52146c968ba8653626709babdff2293fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e6674b850291d13e435495e3ea9d926a921a9fe269f8014eac539d2ef7e556a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-05T11:47:57Z",
    "title_canon_sha256": "c684311f7502f50334d70fa1a2c8a0dd9ef9a0dfc090d579f75c16b16b628f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109015",
    "kind": "arxiv",
    "version": 2
  }
}