Pith Number

pith:4HII5Y75

pith:2020:4HII5Y757HR67Y7WMMXNBF3P44

not attested not anchored not stored refs pending

Circular geodesics in Kerr-Newman-Kasuya black hole

Jingli Ren, Saeed Ullah Khan

arxiv:2012.04476 v1 · 2020-12-05 · gr-qc · 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{4HII5Y757HR67Y7WMMXNBF3P44}

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	2026-07-05T02:13:20.721333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d08ee3fdf9e3efe3f6632ed0976fe721702692d1fc9b94d1171eef5265a537

Aliases

arxiv: 2012.04476 · arxiv_version: 2012.04476v1 · doi: 10.48550/arxiv.2012.04476 · pith_short_12: 4HII5Y757HR6 · pith_short_16: 4HII5Y757HR67Y7W · pith_short_8: 4HII5Y75

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/4HII5Y757HR67Y7WMMXNBF3P44 \
  | 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: e1d08ee3fdf9e3efe3f6632ed0976fe721702692d1fc9b94d1171eef5265a537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee193124bac2ca2c48b3de1113754739b015d64c14f3a962bdee714b4abe6e0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-05T18:11:57Z",
    "title_canon_sha256": "658a84032715fee7ac724f774cba67ab42751a0283f03aeaa691e5f085bc19eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04476",
    "kind": "arxiv",
    "version": 1
  }
}