Pith Number

pith:WQVMXGIL

pith:2012:WQVMXGILKFARRU6ZUB7KZIX3ZY

not attested not anchored not stored refs pending

Effects of inhomogeneities on the expansion of the Universe: a challenge to dark energy?

Marie-No\"elle C\'el\'erier

arxiv:1203.2814 v1 · 2012-03-13 · 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{WQVMXGILKFARRU6ZUB7KZIX3ZY}

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	2026-05-18T04:00:14.499671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42acb990b514118d3d9a07eaca2fbce3b208415519b99eaa24529fe1de2b061

Aliases

arxiv: 1203.2814 · arxiv_version: 1203.2814v1 · doi: 10.48550/arxiv.1203.2814 · pith_short_12: WQVMXGILKFAR · pith_short_16: WQVMXGILKFARRU6Z · pith_short_8: WQVMXGIL

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/WQVMXGILKFARRU6ZUB7KZIX3ZY \
  | 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: b42acb990b514118d3d9a07eaca2fbce3b208415519b99eaa24529fe1de2b061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1886883b17de71b10b5a486c73211406044d924a9ed4d5cdbef7e147d078a9c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-13T13:57:41Z",
    "title_canon_sha256": "386647432de78a3b1d8c35dec15c9ef6139bee0a04cd402640c880e8e365436e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2814",
    "kind": "arxiv",
    "version": 1
  }
}