Pith Number

pith:UU33OCDC

pith:2026:UU33OCDC64FHM4HLOBFJPBCQSZ

not attested not anchored not stored refs pending

Strong Gravitational Lensing Posterior Sampling in Pixel-Space Using Diffusion Models and Recurrent Inference Machines

Gabriel Missael Barco, Guillaume Payeur, Laurence Perreault-Levasseur, Yashar Hezaveh

arxiv:2607.19459 v1 · 2026-07-21 · astro-ph.IM · astro-ph.CO · cs.CV · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UU33OCDC64FHM4HLOBFJPBCQSZ}

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	2026-07-23T00:23:50.842971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a537b70862f70a7670eb704a978450965a974a663bb2b97354ae13109fac9acc

Aliases

arxiv: 2607.19459 · arxiv_version: 2607.19459v1 · doi: 10.48550/arxiv.2607.19459 · pith_short_12: UU33OCDC64FH · pith_short_16: UU33OCDC64FHM4HL · pith_short_8: UU33OCDC

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/UU33OCDC64FHM4HLOBFJPBCQSZ \
  | 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: a537b70862f70a7670eb704a978450965a974a663bb2b97354ae13109fac9acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb98b0bc7eac3a2585a44b7e0794c7f68f58942bea3f8dff88a7b262d627daeb",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-07-21T18:00:00Z",
    "title_canon_sha256": "210551d380e6b7f259380aa4bcfed5dad5a03703fc3d682698f0fd28ee19da10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19459",
    "kind": "arxiv",
    "version": 1
  }
}