Pith Number

pith:5AUC6D6I

pith:2004:5AUC6D6IXQOSJFXUO6OVXFH3EM

not attested not anchored not stored refs pending

Weighting the Clusters of Galaxies with Weak Gravitational Lensing: The problem of the mass-sheet degeneracy

M. Bradac, M. Lombardi, P. Schneider

arxiv:astro-ph/0407032 v1 · 2004-07-01 · 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{5AUC6D6IXQOSJFXUO6OVXFH3EM}

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	2026-07-04T14:13:33.005604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8282f0fc8bc1d2496f4779d5b94fb230e567dff6a3b15892daf47e12fac1e16

Aliases

arxiv: astro-ph/0407032 · arxiv_version: astro-ph/0407032v1 · doi: 10.48550/arxiv.astro-ph/0407032 · pith_short_12: 5AUC6D6IXQOS · pith_short_16: 5AUC6D6IXQOSJFXU · pith_short_8: 5AUC6D6I

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/5AUC6D6IXQOSJFXUO6OVXFH3EM \
  | 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: e8282f0fc8bc1d2496f4779d5b94fb230e567dff6a3b15892daf47e12fac1e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e3cde5b0e2e2ddb22c800f7498f0dfea615d56ea3cb09e05b2b0be72cfa915",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-07-01T20:03:57Z",
    "title_canon_sha256": "f62c223981be94ac8c0491d8b447f55343968392af1a4e42d26e923aab4c94db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0407032",
    "kind": "arxiv",
    "version": 1
  }
}