Pith Number

pith:4CASECGN

pith:2011:4CASECGN267646XN2ESKGMNNHD

not attested not anchored not stored refs pending

A Galileon Design of Slow Expansion

Jun Zhang, Yun-Song Piao, Zhi-Guo Liu

arxiv:1105.5713 v2 · 2011-05-28 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CASECGN267646XN2ESKGMNNHD}

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	2026-05-18T02:01:46.797697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0812208cdd7bfee7aedd124a331ad38f41a11f8dcc28c81627eeab3cfb87116

Aliases

arxiv: 1105.5713 · arxiv_version: 1105.5713v2 · doi: 10.48550/arxiv.1105.5713 · pith_short_12: 4CASECGN2676 · pith_short_16: 4CASECGN267646XN · pith_short_8: 4CASECGN

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/4CASECGN267646XN2ESKGMNNHD \
  | 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: e0812208cdd7bfee7aedd124a331ad38f41a11f8dcc28c81627eeab3cfb87116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb85deef8f8430c25e1776235143efddb5bfa9e5d6e94ccaf499657f4b8c383",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-28T12:58:14Z",
    "title_canon_sha256": "021160636b5f279b2125d359ebdb90f5e7f70cbaa13c7327d36a5f50e5ce609a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5713",
    "kind": "arxiv",
    "version": 2
  }
}