Pith Number

pith:KHDAQDZ2

pith:2001:KHDAQDZ2AWMLY7TBJQKWZZFT2J

not attested not anchored not stored refs pending

Compound gravitational lensing as a probe of dark matter substructure within galaxy halos

Piero Madau (UC Santa Cruz), R. Benton Metcalf (Cambridge)

arxiv:astro-ph/0108224 v1 · 2001-08-13 · 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{KHDAQDZ2AWMLY7TBJQKWZZFT2J}

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.

Cited by

1 paper in Pith

Taking Inventory of the Most Promising Lensed Radio Sources for Constraining Fundamental Properties of Dark Matter

Receipt and verification

First computed	2026-05-18T01:40:44.264732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c6080f3a0598bc7e614c156ce4b3d26e2d0b439f9ae7ba44e38554f731b862

Aliases

arxiv: astro-ph/0108224 · arxiv_version: astro-ph/0108224v1 · doi: 10.48550/arxiv.astro-ph/0108224 · pith_short_12: KHDAQDZ2AWML · pith_short_16: KHDAQDZ2AWMLY7TB · pith_short_8: KHDAQDZ2

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/KHDAQDZ2AWMLY7TBJQKWZZFT2J \
  | 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: 51c6080f3a0598bc7e614c156ce4b3d26e2d0b439f9ae7ba44e38554f731b862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edd03d8d8da2abf82d55bc0b75971980d8fa13ab18c7b0c870c02dac7b79fd3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-08-13T23:47:35Z",
    "title_canon_sha256": "f4633826f27bececa7a5d66ff86575a8330995f442696d24a786152af3a1035f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0108224",
    "kind": "arxiv",
    "version": 1
  }
}