Pith Number

pith:M5SDIQN6

pith:2006:M5SDIQN6MR4WVLWN74SJQV2UXY

not attested not anchored not stored refs pending

Parametric Strong Gravitational Lensing Analysis of Abell 1689

A. Halkola, M. Pannella, S. Seitz

arxiv:astro-ph/0605470 v1 · 2006-05-19 · 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{M5SDIQN6MR4WVLWN74SJQV2UXY}

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	2026-07-04T16:58:45.503039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67643441be64796aaecdff24985754be144bf56a7202172dc5eb1975cb9358c2

Aliases

arxiv: astro-ph/0605470 · arxiv_version: astro-ph/0605470v1 · doi: 10.48550/arxiv.astro-ph/0605470 · pith_short_12: M5SDIQN6MR4W · pith_short_16: M5SDIQN6MR4WVLWN · pith_short_8: M5SDIQN6

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/M5SDIQN6MR4WVLWN74SJQV2UXY \
  | 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: 67643441be64796aaecdff24985754be144bf56a7202172dc5eb1975cb9358c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ea8babf953fe29c8251e1899bcfba664a84b2dab40917599e9b44ce19e8e3b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-05-19T09:32:49Z",
    "title_canon_sha256": "334d2359cea288b7ca9ba5043fab1dcfdea61a16b018302003db1868928a17b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0605470",
    "kind": "arxiv",
    "version": 1
  }
}