Pith Number

pith:EI6PP5W6

pith:2009:EI6PP5W6RZG2YSPQZCU4WMTEJ7

not attested not anchored not stored refs pending

Imitating accelerated expansion of the Universe by matter inhomogeneities - corrections of some misunderstandings

Andrzej Krasinski, Charles Hellaby, Krzysztof Bolejko, Marie-Noelle Celerier

arxiv:0903.4070 v2 · 2009-03-24 · 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{EI6PP5W6RZG2YSPQZCU4WMTEJ7}

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	2026-05-18T04:39:16.964443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

223cf7f6de8e4dac49f0c8a9cb32644feac572f301b1cbdeeac1707bce41ae4c

Aliases

arxiv: 0903.4070 · arxiv_version: 0903.4070v2 · doi: 10.48550/arxiv.0903.4070 · pith_short_12: EI6PP5W6RZG2 · pith_short_16: EI6PP5W6RZG2YSPQ · pith_short_8: EI6PP5W6

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/EI6PP5W6RZG2YSPQZCU4WMTEJ7 \
  | 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: 223cf7f6de8e4dac49f0c8a9cb32644feac572f301b1cbdeeac1707bce41ae4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55671cea42730e8ee4db5711df9507e81b2a4c8ef3ee4e157536f4c189a1c2c1",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-03-24T12:16:25Z",
    "title_canon_sha256": "1b1cd2ab224c29cfaeef222438560ed5102178b8f86fb2ced6bd58421c0ac705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4070",
    "kind": "arxiv",
    "version": 2
  }
}