Pith Number

pith:R4WHXBSX

pith:2008:R4WHXBSXBYDH5EEHC34CFZIXGR

not attested not anchored not stored refs pending

Newtonian Approach to the Matter Power Spectrum of the Generalized Chaplygin Gas

H.E.S. Velten, J.C. Fabris, S.V.B. Goncalves, W. Zimdahl

arxiv:0811.2367 v1 · 2008-11-14 · astro-ph · 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{R4WHXBSXBYDH5EEHC34CFZIXGR}

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	2026-05-18T02:15:21.097375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2c7b86570e067e908716f822e517347c312833879325dca3190918c4e085f3

Aliases

arxiv: 0811.2367 · arxiv_version: 0811.2367v1 · doi: 10.48550/arxiv.0811.2367 · pith_short_12: R4WHXBSXBYDH · pith_short_16: R4WHXBSXBYDH5EEH · pith_short_8: R4WHXBSX

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/R4WHXBSXBYDH5EEHC34CFZIXGR \
  | 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: 8f2c7b86570e067e908716f822e517347c312833879325dca3190918c4e085f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c3ae4de66f8c420a9531dac4b5c634c605ea153ba68b951f0bca0da0fb4f733",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-11-14T16:01:31Z",
    "title_canon_sha256": "6048b59e02cb6851612e2c4c6c16159bdff3132646a3fea9ff6766d40682548c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2367",
    "kind": "arxiv",
    "version": 1
  }
}