Pith Number

pith:F5W45JNS

pith:2021:F5W45JNSBI63D5VI2HJFEQSAWG

not attested not anchored not stored refs pending

Gravitational lensing formalism in a curved arc basis: A continuous description of observables and degeneracies from the weak to the strong lensing regime

Simon Birrer

arxiv:2104.09522 v2 · 2021-04-19 · 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{F5W45JNSBI63D5VI2HJFEQSAWG}

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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.

Cited by

1 paper in Pith

Disentangling the dark and stellar mass through precise lens modelling of the JWST observation of lensed quasar WFI2033--4723

Receipt and verification

First computed	2026-07-05T03:18:16.443916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6dcea5b20a3db1f6a8d1d2524240b19e83d56dffe13ee637fabe88193f5483

Aliases

arxiv: 2104.09522 · arxiv_version: 2104.09522v2 · doi: 10.48550/arxiv.2104.09522 · pith_short_12: F5W45JNSBI63 · pith_short_16: F5W45JNSBI63D5VI · pith_short_8: F5W45JNS

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/F5W45JNSBI63D5VI2HJFEQSAWG \
  | 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: 2f6dcea5b20a3db1f6a8d1d2524240b19e83d56dffe13ee637fabe88193f5483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac631bbffa4bd7b1a4137305d589910f85dadcd5f5266e275a47fc065cc6cf9f",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-04-19T18:00:02Z",
    "title_canon_sha256": "7e0e12655db3c2fc004b01c5262c6a12c0782155ccb358bb39cac22ff5ec13f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.09522",
    "kind": "arxiv",
    "version": 2
  }
}