Pith Number

pith:WZOTLLVE

pith:2009:WZOTLLVEBRQHDYFNZE3GL5N72O

not attested not anchored not stored refs pending

Perturbative reconstruction of a gravitational lens: when mass does not follow light

C. Alard

arxiv:0901.0344 v4 · 2009-01-04 · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZOTLLVEBRQHDYFNZE3GL5N72O}

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	2026-05-18T02:15:03.452683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b65d35aea40c6071e0adc93665f5bfd3b279d31528920b0cc8b00598d313e031

Aliases

arxiv: 0901.0344 · arxiv_version: 0901.0344v4 · doi: 10.48550/arxiv.0901.0344 · pith_short_12: WZOTLLVEBRQH · pith_short_16: WZOTLLVEBRQHDYFN · pith_short_8: WZOTLLVE

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/WZOTLLVEBRQHDYFNZE3GL5N72O \
  | 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: b65d35aea40c6071e0adc93665f5bfd3b279d31528920b0cc8b00598d313e031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4e166838a9b9d3fd8685aee99b6cb4e6edd9da5e1800898bd11ec7b2378773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2009-01-04T21:37:00Z",
    "title_canon_sha256": "8173b20630d6533fc98a6e8ed16d8d247ac3bd75b3409b4f2d19f30072dc418d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0344",
    "kind": "arxiv",
    "version": 4
  }
}