Pith Number

pith:I7MFPDPM

pith:2000:I7MFPDPMUT72KZP7PS5H5UJNZ3

not attested not anchored not stored refs pending

A Test of the Collisional Dark Matter Hypothesis from Cluster Lensing

Jordi Miralda-Escude (The Ohio State University)

arxiv:astro-ph/0002050 v2 · 2000-02-02 · 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{I7MFPDPMUT72KZP7PS5H5UJNZ3}

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	2026-05-18T01:40:48.343970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d8578deca4ffa565ff7cba7ed12dcec100e93f65c85264a735ae2f5424ea0c

Aliases

arxiv: astro-ph/0002050 · arxiv_version: astro-ph/0002050v2 · doi: 10.48550/arxiv.astro-ph/0002050 · pith_short_12: I7MFPDPMUT72 · pith_short_16: I7MFPDPMUT72KZP7 · pith_short_8: I7MFPDPM

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/I7MFPDPMUT72KZP7PS5H5UJNZ3 \
  | 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: 47d8578deca4ffa565ff7cba7ed12dcec100e93f65c85264a735ae2f5424ea0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a596c0600cd126ffbca3e39995ac3d9b1cb2bcddabcb70fbeffda3f932ed60b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-02T14:10:46Z",
    "title_canon_sha256": "f7c0b27fb0818d1df6e6320863e71072ee4f655e57b2a17a3dcc166b0159299d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002050",
    "kind": "arxiv",
    "version": 2
  }
}