Pith Number

pith:VN6KUS34

pith:2010:VN6KUS34UDQ6JRLFC7BM3VLTG5

not attested not anchored not stored refs pending

Non-vacuum Solutions of Bianchi Type VI_0 Universe in f(R) Gravity

H. Rizwana Kausar, M. Sharif

arxiv:1010.2554 v1 · 2010-10-13 · 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{VN6KUS34UDQ6JRLFC7BM3VLTG5}

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	2026-05-18T04:26:54.577254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7caa4b7ca0e1e4c56517c2cdd5733772acda43131765e1e254bc8f72736216

Aliases

arxiv: 1010.2554 · arxiv_version: 1010.2554v1 · doi: 10.48550/arxiv.1010.2554 · pith_short_12: VN6KUS34UDQ6 · pith_short_16: VN6KUS34UDQ6JRLF · pith_short_8: VN6KUS34

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/VN6KUS34UDQ6JRLFC7BM3VLTG5 \
  | 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: ab7caa4b7ca0e1e4c56517c2cdd5733772acda43131765e1e254bc8f72736216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e3e0aac137e49574672d422f278d827efd839493266a0e458f12552cd38ad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-13T02:16:24Z",
    "title_canon_sha256": "a57a04393448526f8b20da6733abb0e196e51ad4a3f521483c3a76ed197cb79a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2554",
    "kind": "arxiv",
    "version": 1
  }
}