Pith Number

pith:SGAKWRAJ

pith:2009:SGAKWRAJME6CJKEM55WLC4RBQA

not attested not anchored not stored refs pending

Spatial averaging and apparent acceleration in inhomogeneous spaces

Antonio Enea Romano, Misao Sasaki

arxiv:0905.3342 v3 · 2009-05-20 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGAKWRAJME6CJKEM55WLC4RBQA}

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	2026-05-18T04:09:44.460825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9180ab4409613c24a88cef6cb172218013c90f2e025ee1be36869f4a4c7fb098

Aliases

arxiv: 0905.3342 · arxiv_version: 0905.3342v3 · doi: 10.48550/arxiv.0905.3342 · pith_short_12: SGAKWRAJME6C · pith_short_16: SGAKWRAJME6CJKEM · pith_short_8: SGAKWRAJ

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/SGAKWRAJME6CJKEM55WLC4RBQA \
  | 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: 9180ab4409613c24a88cef6cb172218013c90f2e025ee1be36869f4a4c7fb098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2584d17d9b00f9cce5707abd23835c7a255674a33b915c4e27d1f7bef4cdc51f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-20T16:13:05Z",
    "title_canon_sha256": "240d06198c6184bd0586e0930f02af485b834ece153a130782169f6fceeaa106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3342",
    "kind": "arxiv",
    "version": 3
  }
}