Pith Number

pith:REK3EK2E

pith:2018:REK3EK2EBJMBLAI657WTGCFWVZ

not attested not anchored not stored refs pending

Robust modeling of quadruply lensed quasars (and random quartets) using Witt's hyperbola

Paul L. Schechter, Raymond A. Wynne

arxiv:1808.06151 v1 · 2018-08-19 · 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{REK3EK2EBJMBLAI657WTGCFWVZ}

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

2 papers in Pith

The Quadruply Lensed Supernova SN 2025wny: Implications for LSST

A Forward, Analytic, Differentiable, Geometric (But Inflexible) Lens Model

Receipt and verification

First computed	2026-05-18T00:07:45.893651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8915b22b440a5815811eefed3308b6ae4137a7da640b421f81d4b534227465ed

Aliases

arxiv: 1808.06151 · arxiv_version: 1808.06151v1 · doi: 10.48550/arxiv.1808.06151 · pith_short_12: REK3EK2EBJMB · pith_short_16: REK3EK2EBJMBLAI6 · pith_short_8: REK3EK2E

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/REK3EK2EBJMBLAI657WTGCFWVZ \
  | 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: 8915b22b440a5815811eefed3308b6ae4137a7da640b421f81d4b534227465ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0f64ea2d34ff00e3c9964ab23797ad8fc213bed42b5b445b19d5f448edd905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-08-19T01:57:50Z",
    "title_canon_sha256": "20f7a26f15d833e27339158a9232e351f01cbf10244bfcf5220b0dd78badf362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06151",
    "kind": "arxiv",
    "version": 1
  }
}