Pith Number

pith:WJJLP4CE

pith:2009:WJJLP4CE3PHW7EHMWUJBFAHFID

not attested not anchored not stored refs pending

Gravitational lensing as a probe of cold dark matter subhalos

E. Zackrisson, T. Riehm

arxiv:0905.4075 v2 · 2009-05-25 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJJLP4CE3PHW7EHMWUJBFAHFID}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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

Probing Dark Matter Substructure with Image Number Anomaly in Strong Lensing Systems

Receipt and verification

First computed	2026-05-18T02:13:37.654109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b252b7f044dbcf6f90ecb5121280e540e1071397c299dfb6cfa5290363e2a576

Aliases

arxiv: 0905.4075 · arxiv_version: 0905.4075v2 · doi: 10.48550/arxiv.0905.4075 · pith_short_12: WJJLP4CE3PHW · pith_short_16: WJJLP4CE3PHW7EHM · pith_short_8: WJJLP4CE

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/WJJLP4CE3PHW7EHMWUJBFAHFID \
  | 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: b252b7f044dbcf6f90ecb5121280e540e1071397c299dfb6cfa5290363e2a576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21080dbc7c412ae9a78b420d60987d5702fb6546d89b598ae1905d6d3becf2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-25T20:11:18Z",
    "title_canon_sha256": "5b694db638703daf803a8e818c7e8fcb759efcf7d598abe0cb97409396882012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4075",
    "kind": "arxiv",
    "version": 2
  }
}