Pith Number

pith:VPEZUXI2

pith:2010:VPEZUXI2BPHCAQIZFCAPVIVRYN

not attested not anchored not stored refs pending

Cosmic age test in inhomogeneous cosmological models mimicking $\Lambda$CDM on the light cone

Miao Li, Mi-Xiang Lan, Shuang Wang, Xiao-Dong Li

arxiv:1002.0978 v3 · 2010-02-04 · 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{VPEZUXI2BPHCAQIZFCAPVIVRYN}

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	2026-05-18T02:24:39.181723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc99a5d1a0bce2041192880faa2b1c35e9a8b4fd967ae70465e00d523b76e06

Aliases

arxiv: 1002.0978 · arxiv_version: 1002.0978v3 · doi: 10.48550/arxiv.1002.0978 · pith_short_12: VPEZUXI2BPHC · pith_short_16: VPEZUXI2BPHCAQIZ · pith_short_8: VPEZUXI2

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/VPEZUXI2BPHCAQIZFCAPVIVRYN \
  | 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: abc99a5d1a0bce2041192880faa2b1c35e9a8b4fd967ae70465e00d523b76e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea4b13eec3caa4e4b845e71c306ed18589d4562750cee2caae35b2fa54913b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-04T12:18:23Z",
    "title_canon_sha256": "69decd4a2bde6a2a924c70a5ec9ecbec484edf29637dc0cc884fb0375c119322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0978",
    "kind": "arxiv",
    "version": 3
  }
}