Pith Number

pith:QTQYV6BE

pith:2005:QTQYV6BE2JX6G2CJ3YRFG6PO6A

not attested not anchored not stored refs pending

A fast method for computing strong-lensing cross sections: Application to merging clusters

C. Fedeli, K. Dolag, L. Moscardini, M. Bartelmann, M. Meneghetti

arxiv:astro-ph/0507093 v2 · 2005-07-05 · 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{QTQYV6BE2JX6G2CJ3YRFG6PO6A}

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	2026-05-18T01:07:31.051926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e18af824d26fe36849de225379eef00423d595bf2b7560f5848ba37f67ff0e

Aliases

arxiv: astro-ph/0507093 · arxiv_version: astro-ph/0507093v2 · doi: 10.48550/arxiv.astro-ph/0507093 · pith_short_12: QTQYV6BE2JX6 · pith_short_16: QTQYV6BE2JX6G2CJ · pith_short_8: QTQYV6BE

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/QTQYV6BE2JX6G2CJ3YRFG6PO6A \
  | 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: 84e18af824d26fe36849de225379eef00423d595bf2b7560f5848ba37f67ff0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845c8afcd0fb9a0b8e47ae0e3740d5889c50da1f9d9a429da859b7a254742889",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-07-05T12:55:06Z",
    "title_canon_sha256": "bdccc9b1dd586ab1429b08e5eea2c3714463b4e913ac4312bd915940340239ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0507093",
    "kind": "arxiv",
    "version": 2
  }
}