Pith Number

pith:7VVE6TGN

pith:2004:7VVE6TGN2CYHTFINGTH5P4V73G

not attested not anchored not stored refs pending

Entropy in the NUT-Kerr-Newman Black Holes Due to an Arbitrary Spin Field

Xian-Hui Ge, You-Gen Shen

arxiv:gr-qc/0410045 v1 · 2004-10-09 · 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{7VVE6TGN2CYHTFINGTH5P4V73G}

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	2026-05-18T01:06:47.209475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6a4f4ccdd0b079950d34cfd7f2bfd9bf1111144b2d8db6e1611200bff0f5d8

Aliases

arxiv: gr-qc/0410045 · arxiv_version: gr-qc/0410045v1 · doi: 10.48550/arxiv.gr-qc/0410045 · pith_short_12: 7VVE6TGN2CYH · pith_short_16: 7VVE6TGN2CYHTFIN · pith_short_8: 7VVE6TGN

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/7VVE6TGN2CYHTFINGTH5P4V73G \
  | 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: fd6a4f4ccdd0b079950d34cfd7f2bfd9bf1111144b2d8db6e1611200bff0f5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e11c9fbc9e9e58532626b5869439e0022d9a94a9a7a914d5b6213f8f9c251b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-10-09T07:13:20Z",
    "title_canon_sha256": "1b1fa09ae59d83676a95b6e6fbac8499f2f7583a9d228cb10b9715cba73128e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0410045",
    "kind": "arxiv",
    "version": 1
  }
}