Pith Number

pith:NUGWZ6SV

pith:2015:NUGWZ6SVMV55ZWOBGFUCRZKKTT

not attested not anchored not stored refs pending

Spherical "Top-Hat" Collapse in a Modified Chaplygin Gas Dominated Universe

H. Razmi, S. Karbasi

arxiv:1505.01565 v2 · 2015-05-06 · gr-qc · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUGWZ6SVMV55ZWOBGFUCRZKKTT}

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	2026-05-18T02:16:38.783795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0d6cfa55657bdcd9c1316828e54a9cc03cde4e5efd2ad64234e75f2946df99

Aliases

arxiv: 1505.01565 · arxiv_version: 1505.01565v2 · doi: 10.48550/arxiv.1505.01565 · pith_short_12: NUGWZ6SVMV55 · pith_short_16: NUGWZ6SVMV55ZWOB · pith_short_8: NUGWZ6SV

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/NUGWZ6SVMV55ZWOBGFUCRZKKTT \
  | 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: 6d0d6cfa55657bdcd9c1316828e54a9cc03cde4e5efd2ad64234e75f2946df99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4656ef42eae5d8ec6cf5b45a6546a66998143d5dcd68da40d12022705630de3d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-06T12:04:48Z",
    "title_canon_sha256": "85656b1ea1b76793f734efc5e193b2511c9bfb4af2c1824c9a659752e752978c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01565",
    "kind": "arxiv",
    "version": 2
  }
}