Pith Number

pith:JSYBKKRR

pith:2016:JSYBKKRR4JDF62IQGOOPZFH3X6

not attested not anchored not stored refs pending

Testing Models of Quasar Hosts With Strong Gravitational Lensing by Quasar Hosts

Mohammadtaher Safarzadeh (Johns Hopkins), Renyue Cen (Princeton)

arxiv:1604.06473 v1 · 2016-04-21 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSYBKKRR4JDF62IQGOOPZFH3X6}

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	2026-05-18T00:51:49.345464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb0152a31e2465f6910339cfc94fbbf96115ab2a74d1bbc3bc4a5eb1d0830be

Aliases

arxiv: 1604.06473 · arxiv_version: 1604.06473v1 · doi: 10.48550/arxiv.1604.06473 · pith_short_12: JSYBKKRR4JDF · pith_short_16: JSYBKKRR4JDF62IQ · pith_short_8: JSYBKKRR

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/JSYBKKRR4JDF62IQGOOPZFH3X6 \
  | 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: 4cb0152a31e2465f6910339cfc94fbbf96115ab2a74d1bbc3bc4a5eb1d0830be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6f7c3a9d825315d4d7c83ced28405057ee54102c709b692b191a0082678f5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-04-21T20:10:14Z",
    "title_canon_sha256": "68379b47f8729c6370dac19c90568c4bbb1c28e0af645eb0947601d64468a70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06473",
    "kind": "arxiv",
    "version": 1
  }
}