Pith Number

pith:E3WCTKG5

pith:2011:E3WCTKG5HGXS45SDPECUD47TNM

not attested not anchored not stored refs pending

Spherical `Top-Hat' Collapse in general Chaplygin gas dominated universes

A. Da Silva, A. Yu. Kamenshchik, J. P. M. de Carvalho, R. A. A. Fernandes, U. Moschella

arxiv:1110.6205 v2 · 2011-10-27 · 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{E3WCTKG5HGXS45SDPECUD47TNM}

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	2026-05-18T03:23:01.620484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ec29a8dd39af2e7643790541f3f36b2e39ba27ee006252d508513a6dc547c5

Aliases

arxiv: 1110.6205 · arxiv_version: 1110.6205v2 · doi: 10.48550/arxiv.1110.6205 · pith_short_12: E3WCTKG5HGXS · pith_short_16: E3WCTKG5HGXS45SD · pith_short_8: E3WCTKG5

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/E3WCTKG5HGXS45SDPECUD47TNM \
  | 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: 26ec29a8dd39af2e7643790541f3f36b2e39ba27ee006252d508513a6dc547c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d0359a781a30a6b1a927cfac6fded2f8ad1fb25d6590bb2ac0f19155f2513d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-27T22:11:38Z",
    "title_canon_sha256": "a3795268d38d91dcc35b469043b1d2337c0cd57f04bbff887a5aadb2b587625a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6205",
    "kind": "arxiv",
    "version": 2
  }
}