Pith Number

pith:345EMTJ3

pith:2018:345EMTJ3WTLPBFHAEQLGCZYSRS

not attested not anchored not stored refs pending

Curvature from strong gravitational lensing: a spatially closed Universe or systematics?

Guo-Jian Wang, Kai Liao, Xuheng Ding, Zhengxiang Li, Zong-Hong Zhu

arxiv:1801.08001 v1 · 2018-01-24 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{345EMTJ3WTLPBFHAEQLGCZYSRS}

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	2026-05-18T00:22:22.922415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3a464d3bb4d6f094e024166167128c90396c0c8448b8c0a8b108a0ddfb2d8e

Aliases

arxiv: 1801.08001 · arxiv_version: 1801.08001v1 · doi: 10.48550/arxiv.1801.08001 · pith_short_12: 345EMTJ3WTLP · pith_short_16: 345EMTJ3WTLPBFHA · pith_short_8: 345EMTJ3

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/345EMTJ3WTLPBFHAEQLGCZYSRS \
  | 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: df3a464d3bb4d6f094e024166167128c90396c0c8448b8c0a8b108a0ddfb2d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef1242eb869728b4582763937eba06395dfa25399e25ec2dd3cc0a35f5a34a4a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-01-24T14:37:35Z",
    "title_canon_sha256": "40f876b26c88a84a3dd2e15d8560a805eb8a056ecea0b85415e0e2fa64a5e3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08001",
    "kind": "arxiv",
    "version": 1
  }
}