Pith Number

pith:XNFRKM25

pith:2015:XNFRKM25NFZ5Y3FONGA2T2YOMV

not attested not anchored not stored refs pending

Static Axisymmetric Einstein Equations in Vacuum: Symmetry, New Solutions and Ricci Solitons

M. A. H. MacCallum, M. M. Akbar

arxiv:1508.05196 v1 · 2015-08-21 · 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{XNFRKM25NFZ5Y3FONGA2T2YOMV}

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.

Cited by

2 papers in Pith

Vacuum, ma non troppo: hidden matter distribution in symmetry-transformed electrovacuum spacetimes

Black holes in rotating, electromagnetic backgrounds and topological Kerr-Newman-NUT spacetimes

Receipt and verification

First computed	2026-05-18T01:30:57.778353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4b15335d6973dc6cae6981a9eb0e6551f481fd81edd58f932accbf8262e37b

Aliases

arxiv: 1508.05196 · arxiv_version: 1508.05196v1 · doi: 10.48550/arxiv.1508.05196 · pith_short_12: XNFRKM25NFZ5 · pith_short_16: XNFRKM25NFZ5Y3FO · pith_short_8: XNFRKM25

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/XNFRKM25NFZ5Y3FONGA2T2YOMV \
  | 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: bb4b15335d6973dc6cae6981a9eb0e6551f481fd81edd58f932accbf8262e37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20900b704306023a77303383dca24b3b4e39a6ba11830f3173901a23b9e48e5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-21T07:39:16Z",
    "title_canon_sha256": "1ea5e62ff88a970bbd5e8188d70e1cd6ad16d8da646bf82dffc36749b62a1a51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05196",
    "kind": "arxiv",
    "version": 1
  }
}