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Pith Number

pith:6N4V3CHB

pith:2008:6N4V3CHB4TMGOAWFU2XYFTT45J
not attested not anchored not stored refs pending

Stars and dark matter in the spiral gravitational lens 2237+0305

C. M. Trott, L. V. E. Koopmans, R. L. Webster, T. Treu

arxiv:0812.0748 v2 · 2008-12-03 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6N4V3CHB4TMGOAWFU2XYFTT45J}

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 2026-05-18T02:15:12.053906Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f3795d88e1e4d86702c5a6af82ce7cea5394420c3f50e1daf2ccda0d3df21f85

Aliases

arxiv: 0812.0748 · arxiv_version: 0812.0748v2 · doi: 10.48550/arxiv.0812.0748 · pith_short_12: 6N4V3CHB4TMG · pith_short_16: 6N4V3CHB4TMGOAWF · pith_short_8: 6N4V3CHB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6N4V3CHB4TMGOAWFU2XYFTT45J \
  | 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: f3795d88e1e4d86702c5a6af82ce7cea5394420c3f50e1daf2ccda0d3df21f85
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e8ad5bc17c2a76ff8f315b920e88b0fb33ee88c756fcd2dcfbea086c3df886e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-12-03T16:31:20Z",
    "title_canon_sha256": "6aa180526dd18cb00361a1f09050c846d6e129efebffb412d696436930b97033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0748",
    "kind": "arxiv",
    "version": 2
  }
}