Pith Number

pith:BRHN7INZ

pith:2026:BRHN7INZGTZDXCD737HZDSMRFQ

not attested not anchored not stored refs pending

JAXtronomy: A JAX port of lenstronomy

Alan Huang, Anowar J. Shajib, Aymeric Galan, Daniel Gilman, Nan Zhang, Natalie B. Hogg, Simon Birrer

arxiv:2606.01547 v1 · 2026-06-01 · 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{BRHN7INZGTZDXCD737HZDSMRFQ}

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	2026-06-02T02:04:36.043890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4edfa1b934f23b887fdfcf91c9912c2b6be2dd6e6554ed06ffd014c0292da1

Aliases

arxiv: 2606.01547 · arxiv_version: 2606.01547v1 · doi: 10.48550/arxiv.2606.01547 · pith_short_12: BRHN7INZGTZD · pith_short_16: BRHN7INZGTZDXCD7 · pith_short_8: BRHN7INZ

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/BRHN7INZGTZDXCD737HZDSMRFQ \
  | 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: 0c4edfa1b934f23b887fdfcf91c9912c2b6be2dd6e6554ed06ffd014c0292da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71eba6e15fb25a71426edffd491c8ec2aeb6deb8ec6638b97b2fc95659feaf07",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-06-01T01:46:49Z",
    "title_canon_sha256": "178f0b74d2fe002da9873de4dc3829c20a09a1fa2e0c71ada1399ff753d02670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01547",
    "kind": "arxiv",
    "version": 1
  }
}