Pith Number

pith:BQA4OUQC

pith:2026:BQA4OUQCTTEODFINS3GTBT366F

not attested not anchored not stored refs pending

Speeding up Gravitational Lens Mass Models with Machine Learning: Applications in X-ray Astronomy

Alex Ostridge, Anna Barnacka, Daniel A. Schwartz, J\'ulia M. Sisk-Reyn\'es, Rafael Mart\'inez-Galarza

arxiv:2607.22812 v1 · 2026-07-24 · astro-ph.GA · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQA4OUQCTTEODFINS3GTBT366F}

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	2026-07-28T00:21:55.676453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c01c752029cc8e1950d96cd30cf7ef17f1ce8b71b513de0b3d4dbe69ac1ef6e

Aliases

arxiv: 2607.22812 · arxiv_version: 2607.22812v1 · doi: 10.48550/arxiv.2607.22812 · pith_short_12: BQA4OUQCTTEO · pith_short_16: BQA4OUQCTTEODFIN · pith_short_8: BQA4OUQC

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/BQA4OUQCTTEODFINS3GTBT366F \
  | 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: 0c01c752029cc8e1950d96cd30cf7ef17f1ce8b71b513de0b3d4dbe69ac1ef6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855d75bf563ad8362e435076eda2b685457abe559c6ced7a8fecd7a3215aad90",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-07-24T18:00:01Z",
    "title_canon_sha256": "a049bf85cae556d56bc366a7d3d7c63e946906115feb5f900b1760b23faaac37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22812",
    "kind": "arxiv",
    "version": 1
  }
}