Pith Number

pith:E5ANCAH7

pith:2022:E5ANCAH7RUK7DPFHUUIFUY245Y

not attested not anchored not stored refs pending

A Framework for Obtaining Accurate Posteriors of Strong Gravitational Lensing Parameters with Flexible Priors and Implicit Likelihoods using Density Estimation

Benjamin Wandelt, Laurence Perreault-Levasseur, Ronan Legin, Yashar Hezaveh

arxiv:2212.00044 v1 · 2022-11-30 · astro-ph.IM · 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{E5ANCAH7RUK7DPFHUUIFUY245Y}

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	2026-07-05T05:35:29.927372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2740d100ff8d15f1bca7a5105a635cee26b813a34491eb0368593378fd225aa0

Aliases

arxiv: 2212.00044 · arxiv_version: 2212.00044v1 · doi: 10.48550/arxiv.2212.00044 · pith_short_12: E5ANCAH7RUK7 · pith_short_16: E5ANCAH7RUK7DPFH · pith_short_8: E5ANCAH7

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/E5ANCAH7RUK7DPFHUUIFUY245Y \
  | 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: 2740d100ff8d15f1bca7a5105a635cee26b813a34491eb0368593378fd225aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5ca58aab65e971cdf1e547985bdfba253b14101b5032f0df987426c1e10212",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2022-11-30T19:00:03Z",
    "title_canon_sha256": "370b5eb928643fcff20fa5a7a9244564630b3e5e5383bf282ad3bd372bc523d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.00044",
    "kind": "arxiv",
    "version": 1
  }
}