Pith Number

pith:FAU3WW5W

pith:2019:FAU3WW5WH3DVEJFFQW5HK6JJIV

not attested not anchored not stored refs pending

Measuring the distances to quasars at high redshifts with strong lensing

Kai Liao

arxiv:1908.02892 v1 · 2019-08-08 · 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{FAU3WW5WH3DVEJFFQW5HK6JJIV}

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.

Cited by

1 paper in Pith

A model-independent determination of the Hubble constant from lensed quasars and supernovae using Gaussian process regression

Receipt and verification

First computed	2026-07-05T00:05:24.875205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2829bb5bb63ec75224a585ba7579294541fdb0a1541f9d25d64ec49f1a46c1e3

Aliases

arxiv: 1908.02892 · arxiv_version: 1908.02892v1 · doi: 10.48550/arxiv.1908.02892 · pith_short_12: FAU3WW5WH3DV · pith_short_16: FAU3WW5WH3DVEJFF · pith_short_8: FAU3WW5W

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/FAU3WW5WH3DVEJFFQW5HK6JJIV \
  | 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: 2829bb5bb63ec75224a585ba7579294541fdb0a1541f9d25d64ec49f1a46c1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9340174b036ee13faa348220a0c113f8ad1629a428dc515d5c7e037670b1336",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-08-08T00:56:02Z",
    "title_canon_sha256": "61b415f8438d57355f3c23283f0bc45b0a83dba0b29cc50337b5894b71eeab4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02892",
    "kind": "arxiv",
    "version": 1
  }
}