Pith Number

pith:W66S76E2

pith:2025:W66S76E2JBAYTYBFTHKVBZHV4G

not attested not anchored not stored refs pending

Microlensing at Cosmological Distances: Event Rate Predictions in the Warhol Arc of MACS 0416

Adi Zitrin, A. M. Koekemoer, Amruth Alfred, Ashish K. Meena, B. J. Kavanagh, Derek Perera, Fengwu Sun, Hayley Williams, J.M. Diego, J.M. Palencia, L. Dai, M. Pascale, Patrick L. Kelly, R. Windhorst, Sung Kei Li, Thomas J. Broadhurst

arxiv:2504.07039 v2 · 2025-04-09 · astro-ph.CO · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W66S76E2JBAYTYBFTHKVBZHV4G}

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	2026-07-05T11:41:22.934040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7bd2ff89a484189e02599d550e4f5e1bfcc7863c25ffa05c4c465f47272c915

Aliases

arxiv: 2504.07039 · arxiv_version: 2504.07039v2 · doi: 10.48550/arxiv.2504.07039 · pith_short_12: W66S76E2JBAY · pith_short_16: W66S76E2JBAYTYBF · pith_short_8: W66S76E2

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/W66S76E2JBAYTYBFTHKVBZHV4G \
  | 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: b7bd2ff89a484189e02599d550e4f5e1bfcc7863c25ffa05c4c465f47272c915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d843009c8eeeed3f4e5f40d180115eb9ff24f0289a7fee39582aacdf981535d9",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-04-09T16:54:22Z",
    "title_canon_sha256": "61ef354399112451ffaec6a0731fad2172dc943596a3c8ee60e77687c0a7e2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07039",
    "kind": "arxiv",
    "version": 2
  }
}