Pith Number

pith:EMTJI5LJ

pith:2002:EMTJI5LJ5OHJLSIAULPPJ2BQRN

not attested not anchored not stored refs pending

Light Propagation in Inhomogeneous Universes. III. Distributions of Image Separations

Hugo Martel (University of Texas), Indonesia), Premana Premadi (Bandung Institute of Technology, Richard Matzner (University of Texas)

arxiv:astro-ph/0201198 v1 · 2002-01-12 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMTJI5LJ5OHJLSIAULPPJ2BQRN}

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 Joint Analysis of Strong Lensing and Type Ia Supernovae to Determine the Hubble Constant

Receipt and verification

First computed	2026-07-04T16:29:14.787801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2326947569eb8e95c900a2def4e8308b61a85cdf060a7b59532f907924ba2aa2

Aliases

arxiv: astro-ph/0201198 · arxiv_version: astro-ph/0201198v1 · doi: 10.48550/arxiv.astro-ph/0201198 · pith_short_12: EMTJI5LJ5OHJ · pith_short_16: EMTJI5LJ5OHJLSIA · pith_short_8: EMTJI5LJ

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/EMTJI5LJ5OHJLSIAULPPJ2BQRN \
  | 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: 2326947569eb8e95c900a2def4e8308b61a85cdf060a7b59532f907924ba2aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1786a7caf60f3d7c394e7effe92661ccbd5e265f161bcf7ad9863a8d1936c433",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-01-12T20:33:41Z",
    "title_canon_sha256": "f912e720e370e76ab226120c93e4c51b1d272968a4c2c540f62f292c7109c45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0201198",
    "kind": "arxiv",
    "version": 1
  }
}