Pith Number

pith:DQE2I2RC

pith:2002:DQE2I2RCCOKUZXH6Z6GTSZVE3K

not attested not anchored not stored refs pending

Images for an Isothermal Ellipsoidal Gravitational Lens from a Single Real Algebraic Equation

Hideki Asada, Masumi Kasai, Takashi Hamana

arxiv:astro-ph/0211389 v1 · 2002-11-18 · 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{DQE2I2RCCOKUZXH6Z6GTSZVE3K}

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

Identifying multiple images of gravitational-wave sources lensed by elliptical lensing potentials

Receipt and verification

First computed	2026-07-04T16:31:10.330979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c09a46a2213954cdcfecf8d3966a4dab52b1eb08b0be055acda66e90c133502

Aliases

arxiv: astro-ph/0211389 · arxiv_version: astro-ph/0211389v1 · doi: 10.48550/arxiv.astro-ph/0211389 · pith_short_12: DQE2I2RCCOKU · pith_short_16: DQE2I2RCCOKUZXH6 · pith_short_8: DQE2I2RC

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/DQE2I2RCCOKUZXH6Z6GTSZVE3K \
  | 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: 1c09a46a2213954cdcfecf8d3966a4dab52b1eb08b0be055acda66e90c133502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8426a375c4a45c2588426a7b96cd1de25402636a805933473d89f9f1b9493e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-11-18T04:37:36Z",
    "title_canon_sha256": "fcb3e78d8b980de25fbb23584d8c47d12de7f007d088d0a54218e5008b7f9d53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0211389",
    "kind": "arxiv",
    "version": 1
  }
}