Pith Number

pith:NBKXMRKS

pith:2010:NBKXMRKSC4UB4NHVLSGG6ISZPA

not attested not anchored not stored refs pending

The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB

Chris Clarkson, Marco Regis (Cape Town)

arxiv:1007.3443 v3 · 2010-07-20 · astro-ph.CO · 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{NBKXMRKSC4UB4NHVLSGG6ISZPA}

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	2026-05-18T04:28:20.137701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685576455217281e34f55c8c6f22597839618c5a16b94b0d0aa2f9a49088a66d

Aliases

arxiv: 1007.3443 · arxiv_version: 1007.3443v3 · doi: 10.48550/arxiv.1007.3443 · pith_short_12: NBKXMRKSC4UB · pith_short_16: NBKXMRKSC4UB4NHV · pith_short_8: NBKXMRKS

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/NBKXMRKSC4UB4NHVLSGG6ISZPA \
  | 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: 685576455217281e34f55c8c6f22597839618c5a16b94b0d0aa2f9a49088a66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7290b2a9ed7071ed0ec703e4ddb58962c1bd54001c888d582ff0641b0f78bcb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-07-20T15:09:45Z",
    "title_canon_sha256": "7eea073820a22b5b36ef8da3e32468eacad57f33e764e9b0fdbdcf08460ac62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3443",
    "kind": "arxiv",
    "version": 3
  }
}