pith. sign in
Pith Number

pith:3JXHDJWK

pith:2016:3JXHDJWKZJQXGKG7V3NISNWFD2
not attested not anchored not stored refs pending

Cosmic Constraints to wCDM Model from Strong Gravitational Lensing

Baorong Chang, Jie An, Lixin Xu

arxiv:1603.03521 v1 · 2016-03-11 · gr-qc · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3JXHDJWKZJQXGKG7V3NISNWFD2}

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 2026-05-18T00:48:47.376468Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da6e71a6caca617328dfaeda8936c51e975a008b387758d55eb14683b0935391

Aliases

arxiv: 1603.03521 · arxiv_version: 1603.03521v1 · doi: 10.48550/arxiv.1603.03521 · pith_short_12: 3JXHDJWKZJQX · pith_short_16: 3JXHDJWKZJQXGKG7 · pith_short_8: 3JXHDJWK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3JXHDJWKZJQXGKG7V3NISNWFD2 \
  | 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: da6e71a6caca617328dfaeda8936c51e975a008b387758d55eb14683b0935391
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "93ca47f405b6dea36f57df9340f31d29674c19ff5466e8898770929ef405faa1",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-11T05:05:50Z",
    "title_canon_sha256": "4cb9c1ff73ea10b241ce6fdfb51a51c1832efafc104e47c0b5768cadfce7c0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03521",
    "kind": "arxiv",
    "version": 1
  }
}