Pith Number

pith:G24KCMPL

pith:2020:G24KCMPLYFK7VVYDOTJUGIKHBG

not attested not anchored not stored refs pending

Gaia GraL: Gaia DR2 Gravitational Lens Systems. VI. Spectroscopic Confirmation and Modeling of Quadruply-Imaged Lensed Quasars

A. Drake, A. Krone-Martins, A. Mahabal, A. Nierenberg, C. Boehm, C. Ducourant, C. Spindola-Duarte, D. Dobie, D. Sluse, D. Stern, E. Slezak, F. Mignard, J. den Brok, J. F. LeCampion, J. Klark, J. Simon, J. Surdej, J. Wambsganss, L. Delchambre, L. Galluccio, M. J. Graham, P. Jalan, R. Teixeira, S. G. Djorgovski, S. Scarano, T. Murphy

arxiv:2012.10051 v1 · 2020-12-18 · 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{G24KCMPLYFK7VVYDOTJUGIKHBG}

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	2026-07-05T03:34:21.275939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b8a131ebc155fad70374d3432147099d682754d22da892f84385435c0ba379

Aliases

arxiv: 2012.10051 · arxiv_version: 2012.10051v1 · doi: 10.48550/arxiv.2012.10051 · pith_short_12: G24KCMPLYFK7 · pith_short_16: G24KCMPLYFK7VVYD · pith_short_8: G24KCMPL

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/G24KCMPLYFK7VVYDOTJUGIKHBG \
  | 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: 36b8a131ebc155fad70374d3432147099d682754d22da892f84385435c0ba379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017eacaaa06e3dc38788cea6deb76b26da58d452f268545529a499bce52663c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2020-12-18T04:44:25Z",
    "title_canon_sha256": "e30449ca10f91479e920c8b288987c9c6f3d9778d98909e6e0618296413958c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10051",
    "kind": "arxiv",
    "version": 1
  }
}