Pith Number

pith:E65ZYKGD

pith:2004:E65ZYKGDEHCJ5IYGF5SBPS2LFY

not attested not anchored not stored refs pending

Galaxy Structures and External Perturbations in Gravitational Lenses

Masamune Oguri, Satoru Ikeuchi, Takahiko Matsubara, Yozo Kawano

arxiv:astro-ph/0404013 v1 · 2004-04-01 · 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{E65ZYKGDEHCJ5IYGF5SBPS2LFY}

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	2026-05-18T01:40:37.188221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27bb9c28c321c49ea3062f6417cb4b2e3042618d50ff88b8810361e0588a2e91

Aliases

arxiv: astro-ph/0404013 · arxiv_version: astro-ph/0404013v1 · doi: 10.48550/arxiv.astro-ph/0404013 · pith_short_12: E65ZYKGDEHCJ · pith_short_16: E65ZYKGDEHCJ5IYG · pith_short_8: E65ZYKGD

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/E65ZYKGDEHCJ5IYGF5SBPS2LFY \
  | 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: 27bb9c28c321c49ea3062f6417cb4b2e3042618d50ff88b8810361e0588a2e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d5b39817996a1c6faa8014130cadc200980538648ae1e6c62463470840f61a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-04-01T07:06:35Z",
    "title_canon_sha256": "3cbf8607e8b80bc9b79fa9febed9ab69b24a3e5b91e97fe1f1eda3e881bc20ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0404013",
    "kind": "arxiv",
    "version": 1
  }
}