Pith Number

pith:5Z3VEGUC

pith:2016:5Z3VEGUCKO5L5WXEBUB5LJ474S

not attested not anchored not stored refs pending

Roulettes: A weak lensing formalism for strong lensing - II. Derivation and analysis

Chris Clarkson

arxiv:1603.04652 v3 · 2016-03-15 · gr-qc · 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{5Z3VEGUCKO5L5WXEBUB5LJ474S}

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	2026-05-18T00:59:25.714497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee77521a8253babedae40d03d5a79fe4a2dee44d6f715114a59c27e2375a5e1a

Aliases

arxiv: 1603.04652 · arxiv_version: 1603.04652v3 · doi: 10.48550/arxiv.1603.04652 · pith_short_12: 5Z3VEGUCKO5L · pith_short_16: 5Z3VEGUCKO5L5WXE · pith_short_8: 5Z3VEGUC

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/5Z3VEGUCKO5L5WXEBUB5LJ474S \
  | 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: ee77521a8253babedae40d03d5a79fe4a2dee44d6f715114a59c27e2375a5e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b11ad1b45356a3a30b8d463c653757bb6761109ded7d0e7b75c63abe63d03b4",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-15T12:06:18Z",
    "title_canon_sha256": "eb4857f32cb11debbcd07568722437b0430045de9d71b0d7a69113780692462f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04652",
    "kind": "arxiv",
    "version": 3
  }
}