Pith Number

pith:YXPOW42D

pith:2026:YXPOW42DTJR25QDESIYMZBOX7G

not attested not anchored not stored refs pending

Galaxy-LRD Strong Lenses: A Missing Population?

Fuwen Shu, Nan Li, Simon Dye, XinZhong Er, Zizhao He

arxiv:2608.02739 v1 · 2026-08-03 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXPOW42DTJR25QDESIYMZBOX7G}

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	2026-08-05T00:39:44.426340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5deeb73439a63aec0649230cc85d7f9966a2768aedea3d3d8d423e66bad1df2

Aliases

arxiv: 2608.02739 · arxiv_version: 2608.02739v1 · doi: 10.48550/arxiv.2608.02739 · pith_short_12: YXPOW42DTJR2 · pith_short_16: YXPOW42DTJR25QDE · pith_short_8: YXPOW42D

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/YXPOW42DTJR25QDESIYMZBOX7G \
  | 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: c5deeb73439a63aec0649230cc85d7f9966a2768aedea3d3d8d423e66bad1df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4facf80a605d86db40e56880615f502bc878675e5b15176844d4f6896dd64d8d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-08-03T18:00:05Z",
    "title_canon_sha256": "df906cff2aa823670187bc914a03c91f7ba41e10a8e0ae583385e679a1edef9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02739",
    "kind": "arxiv",
    "version": 1
  }
}