pith. sign in
Pith Number

pith:P5FRXF5P

pith:2018:P5FRXF5PXPHE6KZNK2X732TZUW
not attested not anchored not stored refs pending

Black Hole Topology in $f(R)$ Gravity

Akash K Mishra, Mostafizur Rahman, Sudipta Sarkar

arxiv:1806.06596 v1 · 2018-06-18 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P5FRXF5PXPHE6KZNK2X732TZUW}

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 2026-05-18T00:11:04.466338Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f4b1b97afbbce4f2b2d56affdea79a5b9f65c8a38931c198f3cc97abc4af7ae

Aliases

arxiv: 1806.06596 · arxiv_version: 1806.06596v1 · doi: 10.48550/arxiv.1806.06596 · pith_short_12: P5FRXF5PXPHE · pith_short_16: P5FRXF5PXPHE6KZN · pith_short_8: P5FRXF5P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P5FRXF5PXPHE6KZNK2X732TZUW \
  | 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: 7f4b1b97afbbce4f2b2d56affdea79a5b9f65c8a38931c198f3cc97abc4af7ae
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "289cf6ac7677a53a0d470edbaf147ac94a355898d291e7dd248505095795e499",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-06-18T10:56:43Z",
    "title_canon_sha256": "137f139f829ab4c6a36adccf55948fd1b778d525969873fb7be43680677b7271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06596",
    "kind": "arxiv",
    "version": 1
  }
}