Pith Number

pith:7PQT6LNZ

pith:2026:7PQT6LNZ7XAITHH5MXBH5XNPJW

not attested not anchored not stored refs pending

Microlensing of Microlensing: Effects of Random Stars on the Double-Source-Plane Gravitational Lens

Daniel J. Ballard, Geraint F. Lewis, Huimin Qu, Karl Glazebrook, Nada Salama

arxiv:2607.17144 v1 · 2026-07-19 · 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{7PQT6LNZ7XAITHH5MXBH5XNPJW}

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	2026-07-21T01:21:17.961897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe13f2db9fdc0899cfd65c27eddaf4daf846a091fbfc622254e70c5c7496b42

Aliases

arxiv: 2607.17144 · arxiv_version: 2607.17144v1 · doi: 10.48550/arxiv.2607.17144 · pith_short_12: 7PQT6LNZ7XAI · pith_short_16: 7PQT6LNZ7XAITHH5 · pith_short_8: 7PQT6LNZ

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/7PQT6LNZ7XAITHH5MXBH5XNPJW \
  | 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: fbe13f2db9fdc0899cfd65c27eddaf4daf846a091fbfc622254e70c5c7496b42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ee1ba44025217cfe31967ddb1f08b59d0355f67124b670f5edace9b93a594c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-19T09:00:22Z",
    "title_canon_sha256": "e8f2d6139f2cf18ad6aa8082446e9405bb23576d70b1d1b10e0da30a61917ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17144",
    "kind": "arxiv",
    "version": 1
  }
}