Pith Number

pith:Q6IYACPF

pith:2002:Q6IYACPFQ45Q3Q4JAL447BIPJZ

not attested not anchored not stored refs pending

Quasar Microlensing at High Magnification and the Role of Dark Matter: Enhanced Fluctuations and Suppressed Saddlepoints

Joachim Wambsganss, Paul L. Schechter

arxiv:astro-ph/0204425 v2 · 2002-04-25 · 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{Q6IYACPFQ45Q3Q4JAL447BIPJZ}

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	2026-05-18T04:23:01.199106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87918009e5873b0dc38902f9cf850f4e628b537579926fbfe045054e148009dd

Aliases

arxiv: astro-ph/0204425 · arxiv_version: astro-ph/0204425v2 · doi: 10.48550/arxiv.astro-ph/0204425 · pith_short_12: Q6IYACPFQ45Q · pith_short_16: Q6IYACPFQ45Q3Q4J · pith_short_8: Q6IYACPF

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/Q6IYACPFQ45Q3Q4JAL447BIPJZ \
  | 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: 87918009e5873b0dc38902f9cf850f4e628b537579926fbfe045054e148009dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bca4b18e5abaffc22256053782fdfa6b5832f7402175361febc9c04dab1af9e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-04-25T19:20:49Z",
    "title_canon_sha256": "40547690a9d34540d46f2a0a43472e43a8cc67954a0d6cb51ae0b31b374ed1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0204425",
    "kind": "arxiv",
    "version": 2
  }
}