Pith Number

pith:QITUI3Y2

pith:2005:QITUI3Y2GXRNVCDEITI3WJ6AC3

not attested not anchored not stored refs pending

New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory

Burkhard Kleihaus, Jutta Kunz, Marion Wirschins, Rustam Ibadov

arxiv:gr-qc/0507110 v1 · 2005-07-26 · 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{QITUI3Y2GXRNVCDEITI3WJ6AC3}

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	2026-07-04T16:55:16.642217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8227446f1a35e2da886444d1bb27c016e8bb186c2863f29c6b29b56faafcdf0f

Aliases

arxiv: gr-qc/0507110 · arxiv_version: gr-qc/0507110v1 · doi: 10.48550/arxiv.gr-qc/0507110 · pith_short_12: QITUI3Y2GXRN · pith_short_16: QITUI3Y2GXRNVCDE · pith_short_8: QITUI3Y2

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/QITUI3Y2GXRNVCDEITI3WJ6AC3 \
  | 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: 8227446f1a35e2da886444d1bb27c016e8bb186c2863f29c6b29b56faafcdf0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a0c75cf5bb7f7763cfe655e29aa2dd2c436bd02a28863ab66558188923e4c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-07-26T10:48:10Z",
    "title_canon_sha256": "5004440475f38e182eeaa5ada4a3140a3f1a9d33a00fcb7e904204ce2e1f69bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0507110",
    "kind": "arxiv",
    "version": 1
  }
}