Pith Number

pith:GVF2PMGI

pith:2010:GVF2PMGIAU2KNIIYXEUNESVIIS

not attested not anchored not stored refs pending

Current cosmological constraints on the curvature, dark energy and modified gravity

Xiao-ming Zhu, Yungui Gong, Zong-Hong Zhu

arxiv:1008.5010 v3 · 2010-08-30 · astro-ph.CO · 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{GVF2PMGIAU2KNIIYXEUNESVIIS}

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	2026-05-18T04:16:53.598393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354ba7b0c80534a6a118b928d24aa844bb436c8dd82a9118f7587edc61c3de05

Aliases

arxiv: 1008.5010 · arxiv_version: 1008.5010v3 · doi: 10.48550/arxiv.1008.5010 · pith_short_12: GVF2PMGIAU2K · pith_short_16: GVF2PMGIAU2KNIIY · pith_short_8: GVF2PMGI

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/GVF2PMGIAU2KNIIYXEUNESVIIS \
  | 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: 354ba7b0c80534a6a118b928d24aa844bb436c8dd82a9118f7587edc61c3de05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d994c75aa7f38d7eb90ed9f78c5c90fc758e1286945feedb7cca596c902f597",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-08-30T06:19:07Z",
    "title_canon_sha256": "b5fd3742468068c3c6971faa37fff441fbdd1b1dbe7c6736de0dc73173b293ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5010",
    "kind": "arxiv",
    "version": 3
  }
}