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Pith Number

pith:IU6HV4FA

pith:2016:IU6HV4FABIV7V6OW7XKAOQSE73
not attested not anchored not stored refs pending

Strong Lensing Analysis of the Powerful Lensing Cluster MACS J2135.2-0102 ($z$=0.33)

Adi Zitrin, Tom Broadhurst

arxiv:1607.02119 v2 · 2016-07-07 · astro-ph.CO · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IU6HV4FABIV7V6OW7XKAOQSE73}

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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 2026-05-18T00:45:06.493385Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

453c7af0a00a2bfaf9d6fdd4074244fecd251b4d0ff42c97209fb5be3f84bc63

Aliases

arxiv: 1607.02119 · arxiv_version: 1607.02119v2 · doi: 10.48550/arxiv.1607.02119 · pith_short_12: IU6HV4FABIV7 · pith_short_16: IU6HV4FABIV7V6OW · pith_short_8: IU6HV4FA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IU6HV4FABIV7V6OW7XKAOQSE73 \
  | 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: 453c7af0a00a2bfaf9d6fdd4074244fecd251b4d0ff42c97209fb5be3f84bc63
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2a2b065bae320e9c407b543b7e17ec2e8cc365fac1adb0fe62e7cae9be0f530f",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-07-07T18:49:48Z",
    "title_canon_sha256": "b5572043d0f0f9e6e658454e2f4456d7c20ede26b911fe37f706b698da9d149a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02119",
    "kind": "arxiv",
    "version": 2
  }
}