Pith Number

pith:UCEZ4HWZ

pith:2019:UCEZ4HWZHIZKWZAG3AT7UNSH7R

not attested not anchored not stored refs pending

Implications of the lens redshift distribution of strong lensing systems: cosmological parameters and the global properties of early-type galaxies

Jia Zhang, Shuaibo Geng, Shuo Cao, Tonghua Liu, Yu-Bo Ma, Yu Pan, Yuting Liu

arxiv:1901.09737 v1 · 2019-01-28 · 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{UCEZ4HWZHIZKWZAG3AT7UNSH7R}

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	2026-05-17T23:53:20.614104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0899e1ed93a32ab6406d827fa3647fc5e7653a2c9e9acd15f618fd2e913ccb3

Aliases

arxiv: 1901.09737 · arxiv_version: 1901.09737v1 · doi: 10.48550/arxiv.1901.09737 · pith_short_12: UCEZ4HWZHIZK · pith_short_16: UCEZ4HWZHIZKWZAG · pith_short_8: UCEZ4HWZ

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/UCEZ4HWZHIZKWZAG3AT7UNSH7R \
  | 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: a0899e1ed93a32ab6406d827fa3647fc5e7653a2c9e9acd15f618fd2e913ccb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc4413ae39a386da96d393fd9b48453083a104c9f5dd0191c04314e134d8be0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-01-28T15:33:39Z",
    "title_canon_sha256": "36fe8f64fc473f9667b3135380811b7cc540d18b4b84a86f3c89b5e443e0a523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09737",
    "kind": "arxiv",
    "version": 1
  }
}