Pith Number

pith:FRGHCPS4

pith:2021:FRGHCPS4GEARCTIN27NLGEAFOP

not attested not anchored not stored refs pending

lenstronomy II: A gravitational lensing software ecosystem

Adam Amara, Anowar J. Shajib, Aymeric Galan, Daniel Gilman, Dominique Sluse, Ewoud Wempe, Giulia Pagano, Jelle Aalbers, Ji Won Park, Lilan Yang, Luca Teodori, Lyne Van de Vyvere, Madison Ueland, Martin Millon, Ming Zhang, Nicolas Tessore, Robert Morgan, Sebastian Wagner-Carena, Simon Birrer, Thomas Schmidt, Xuheng Ding

arxiv:2106.05976 v1 · 2021-06-10 · astro-ph.CO · astro-ph.GA · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRGHCPS4GEARCTIN27NLGEAFOP}

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

3 papers in Pith

The free-streaming length of dark matter from JWST observations of 28 strong gravitational lenses

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

Probing Dark Matter Substructure with Image Number Anomaly in Strong Lensing Systems

Receipt and verification

First computed	2026-07-05T02:48:24.576237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4c713e5c3101114d0dd7dab3100573f6c248b077b731423a9a558ba47056c3

Aliases

arxiv: 2106.05976 · arxiv_version: 2106.05976v1 · doi: 10.48550/arxiv.2106.05976 · pith_short_12: FRGHCPS4GEAR · pith_short_16: FRGHCPS4GEARCTIN · pith_short_8: FRGHCPS4

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/FRGHCPS4GEARCTIN27NLGEAFOP \
  | 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: 2c4c713e5c3101114d0dd7dab3100573f6c248b077b731423a9a558ba47056c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9488651ff1f1d5831e2fa447389b5cbbc3fba04e075791f98411ddb6c506b2",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-10T18:00:01Z",
    "title_canon_sha256": "08e2e6cc24def63dc9a7778a89f2521a73cfb2546939d91721d5d4cfe61e5240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05976",
    "kind": "arxiv",
    "version": 1
  }
}