Pith Number

pith:3ZPIN3BB

pith:2018:3ZPIN3BBGSEOQCXGAWZ5S76ESJ

not attested not anchored not stored refs pending

The importance of secondary halos for strong lensing in massive galaxy clusters across redshift

Esteban M. Rangel, Hal J. Finkel, Hillary L. Child, Katrin Heitmann, Lindsey E. Bleem, Michael D. Gladders, Michael K. Florian, Nan Li, Salman Habib

arxiv:1810.13330 v3 · 2018-10-31 · 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{3ZPIN3BBGSEOQCXGAWZ5S76ESJ}

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	2026-05-17T23:42:26.744896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5e86ec213488e80ae605b3d97fc4926e0cf750fd281b0fcb6a475e0ac0228e

Aliases

arxiv: 1810.13330 · arxiv_version: 1810.13330v3 · doi: 10.48550/arxiv.1810.13330 · pith_short_12: 3ZPIN3BBGSEO · pith_short_16: 3ZPIN3BBGSEOQCXG · pith_short_8: 3ZPIN3BB

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/3ZPIN3BBGSEOQCXGAWZ5S76ESJ \
  | 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: de5e86ec213488e80ae605b3d97fc4926e0cf750fd281b0fcb6a475e0ac0228e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad45c4fa6f3cd378c03f15dcf356897fe3321a356f3046861158b9715e09ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-10-31T15:18:45Z",
    "title_canon_sha256": "bf22c21a9bedae96670cfdc215b0ffbeb28c633c437813149e914add0f926cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13330",
    "kind": "arxiv",
    "version": 3
  }
}