Pith Number

pith:4WA3EDPP

pith:2010:4WA3EDPPJWQDP6HWFESZFPWCBR

not attested not anchored not stored refs pending

Strong Gravitational Lensing by the Super-massive cD Galaxy in Abell 3827

B. W. Miller, E. R. Carrasco, H. Lee, J. E. H. Turner, M. Bergmann, M. J. West, P. L. Gomez, R. Diaz, T. Verdugo

arxiv:1004.5410 v2 · 2010-04-29 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WA3EDPPJWQDP6HWFESZFPWCBR}

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	2026-07-04T17:28:46.415846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e581b20def4da037f8f6292592bec20c62b8cc031604148dbb8592d184a7933a

Aliases

arxiv: 1004.5410 · arxiv_version: 1004.5410v2 · doi: 10.48550/arxiv.1004.5410 · pith_short_12: 4WA3EDPPJWQD · pith_short_16: 4WA3EDPPJWQDP6HW · pith_short_8: 4WA3EDPP

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/4WA3EDPPJWQDP6HWFESZFPWCBR \
  | 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: e581b20def4da037f8f6292592bec20c62b8cc031604148dbb8592d184a7933a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14e67acfa3ed6f4ddbd957b5aad3c4c47fb897b6a1086d35bb178771a5e7667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-04-29T21:54:42Z",
    "title_canon_sha256": "e6e9d89b5a54e435175314768ef371250309be602c600ccc5dd0004defa7c1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5410",
    "kind": "arxiv",
    "version": 2
  }
}