Pith Number

pith:7MCAPO6B

pith:2012:7MCAPO6BLOF5YNSS3NANIRL7HW

not attested not anchored not stored refs pending

On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy

Anne Marie Nzioki, Peter Dunsby, Rituparno Goswami, Timothy Clifton

arxiv:1210.0730 v3 · 2012-10-02 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MCAPO6BLOF5YNSS3NANIRL7HW}

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	2026-05-18T03:27:22.977284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0407bbc15b8bdc3652db40d4457f3db78a312572884ec3c0d1c3f1ff195468

Aliases

arxiv: 1210.0730 · arxiv_version: 1210.0730v3 · doi: 10.48550/arxiv.1210.0730 · pith_short_12: 7MCAPO6BLOF5 · pith_short_16: 7MCAPO6BLOF5YNSS · pith_short_8: 7MCAPO6B

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/7MCAPO6BLOF5YNSS3NANIRL7HW \
  | 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: fb0407bbc15b8bdc3652db40d4457f3db78a312572884ec3c0d1c3f1ff195468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144a59ee612c535a56e04748b0f0cb32f9bb3c1782d4c3086f28cf87bb312daf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-02T10:50:08Z",
    "title_canon_sha256": "5ba74116abf8cf0c26a82935ca5de4a714cd0aab3f59d5ce46631c94536d2993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0730",
    "kind": "arxiv",
    "version": 3
  }
}