Pith Number

pith:R2HQEA7K

pith:2000:R2HQEA7KEVHW6UQFAFNJRNH5IE

not attested not anchored not stored refs pending

Maximum-entropy reconstruction of gravitational lenses using shear and/or magnification data

A.N. Lasenby, M.P. Hobson, Richard Saunders, S.L. Bridle

arxiv:astro-ph/0010387 v1 · 2000-10-19 · 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{R2HQEA7KEVHW6UQFAFNJRNH5IE}

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	2026-07-04T14:10:48.947067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e8f0203ea254f6f5205015a98b4fd4131fa3449ba158225012167294b02097f

Aliases

arxiv: astro-ph/0010387 · arxiv_version: astro-ph/0010387v1 · doi: 10.48550/arxiv.astro-ph/0010387 · pith_short_12: R2HQEA7KEVHW · pith_short_16: R2HQEA7KEVHW6UQF · pith_short_8: R2HQEA7K

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/R2HQEA7KEVHW6UQFAFNJRNH5IE \
  | 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: 8e8f0203ea254f6f5205015a98b4fd4131fa3449ba158225012167294b02097f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0cc47db714f77b08107dd82ef56ba976fd9b4fcbc220d947fa0efe62125eec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-10-19T12:55:47Z",
    "title_canon_sha256": "548ec2acb076fd9577493d6bd840fb924408b21101dafe472133cf138cb61f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010387",
    "kind": "arxiv",
    "version": 1
  }
}