Pith Number

pith:M56HII6M

pith:2024:M56HII6MFB66GWQYRJRJFMH4SA

not attested not anchored not stored refs pending

J1721+8842: The first Einstein zig-zag lens

A. A. Galan, A. Agnello, A. Andrade, A. J. Shajib, A. Schweinfurth, A. Smette, C. Lemon, D. Sluse, E. Paic, F. Courbin, F. Dux, J. Hjorth, K. C. Wong, M. Millon, S. Birrer, S. H. Suyu, S. Schuldt, T. Schmidt, T. Treu

arxiv:2411.04177 v1 · 2024-11-06 · 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{M56HII6MFB66GWQYRJRJFMH4SA}

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.

Cited by

1 paper in Pith

Strong Lensing Tomography: Double and pseudo multi-source plane strong gravitational lensing to constrain dark energy

Receipt and verification

First computed	2026-07-05T10:19:30.729501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

677c7423cc287de35a188a6292b0fc903b3b08d365e1929b01764685f99f9b03

Aliases

arxiv: 2411.04177 · arxiv_version: 2411.04177v1 · doi: 10.48550/arxiv.2411.04177 · pith_short_12: M56HII6MFB66 · pith_short_16: M56HII6MFB66GWQY · pith_short_8: M56HII6M

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/M56HII6MFB66GWQYRJRJFMH4SA \
  | 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: 677c7423cc287de35a188a6292b0fc903b3b08d365e1929b01764685f99f9b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "151cf6592b57abaa6118146e4e993dfaf6da1ed151e78dd31cb1decc8b97a0f0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-11-06T19:00:01Z",
    "title_canon_sha256": "7e03a90eee674b5e5051f3f8c78099cf4267456ecd2bc07d0b61e86d868b2cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04177",
    "kind": "arxiv",
    "version": 1
  }
}