Pith Number

pith:A3PL4VX6

pith:2005:A3PL4VX6W2Q636AI2EDZQ3YKO4

not attested not anchored not stored refs pending

Gravitational Lensing & Stellar Dynamics

L.V.E. Koopmans (Kapteyn Astronomical Institute)

arxiv:astro-ph/0511121 v1 · 2005-11-04 · 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{A3PL4VX6W2Q636AI2EDZQ3YKO4}

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

Identification of Lensed Gravitational-Wave Beat Patterns by LISA

Receipt and verification

First computed	2026-07-04T16:53:01.710888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06debe56feb6a1edf808d107986f0a77240e99c2d5aa166bad52951d78715d0d

Aliases

arxiv: astro-ph/0511121 · arxiv_version: astro-ph/0511121v1 · doi: 10.48550/arxiv.astro-ph/0511121 · pith_short_12: A3PL4VX6W2Q6 · pith_short_16: A3PL4VX6W2Q636AI · pith_short_8: A3PL4VX6

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/A3PL4VX6W2Q636AI2EDZQ3YKO4 \
  | 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: 06debe56feb6a1edf808d107986f0a77240e99c2d5aa166bad52951d78715d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73963c7d6ff0546e90714eef1e2b50a9d0a7229ca0501a9902835c3711d3375",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-11-04T08:47:42Z",
    "title_canon_sha256": "c7c812f9328b3dac38c5d5f8ee12d80e10d5ddba5e28d297771bbb387fafdfea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0511121",
    "kind": "arxiv",
    "version": 1
  }
}