Pith Number

pith:OBDIQWPD

pith:2025:OBDIQWPDYXEUZGXO6N4HPKX6R6

not attested not anchored not stored refs pending

Elliptical multipoles for gravitational lenses

Daniel Gilman (UChicago), Hadrien Paugnat (UCLA)

arxiv:2502.03530 v2 · 2025-02-05 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBDIQWPDYXEUZGXO6N4HPKX6R6}

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	2026-07-05T11:03:21.112309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70468859e3c5c94c9aeef37877aafe8f8440c2134d42ad031caf333260b9461e

Aliases

arxiv: 2502.03530 · arxiv_version: 2502.03530v2 · doi: 10.48550/arxiv.2502.03530 · pith_short_12: OBDIQWPDYXEU · pith_short_16: OBDIQWPDYXEUZGXO · pith_short_8: OBDIQWPD

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/OBDIQWPDYXEUZGXO6N4HPKX6R6 \
  | 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: 70468859e3c5c94c9aeef37877aafe8f8440c2134d42ad031caf333260b9461e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "145bba3d8a938afdfef7d9c877b7143c2e3be31e6a13916e517b90661f0b3bc1",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-02-05T19:00:02Z",
    "title_canon_sha256": "694de8626dc95ef045b370f47901e36a60473fd8ebc2c8c7f98bde98e9add589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03530",
    "kind": "arxiv",
    "version": 2
  }
}