Pith Number

pith:N5JTPDFT

pith:2013:N5JTPDFTA3VIC4OPQYVVESDFQE

not attested not anchored not stored refs pending

Source-position transformation -- an approximate invariance in strong gravitational lensing

Dominique Sluse (Argelander-Institut f\"ur Astronomie, Germany), Peter Schneider, Universit\"at Bonn

arxiv:1306.4675 v1 · 2013-06-19 · 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{N5JTPDFTA3VIC4OPQYVVESDFQE}

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	2026-05-18T02:52:32.425848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f53378cb306ea8171cf862b524865810af049cc859d2aedb39988d1628559b0

Aliases

arxiv: 1306.4675 · arxiv_version: 1306.4675v1 · doi: 10.48550/arxiv.1306.4675 · pith_short_12: N5JTPDFTA3VI · pith_short_16: N5JTPDFTA3VIC4OP · pith_short_8: N5JTPDFT

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/N5JTPDFTA3VIC4OPQYVVESDFQE \
  | 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: 6f53378cb306ea8171cf862b524865810af049cc859d2aedb39988d1628559b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2360e2e126c28953998ff8e44da69c74bbda4da1f6e406f8387aa5a264d56f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-06-19T20:00:00Z",
    "title_canon_sha256": "c7456a60fcb6b56e3f81c2fc755747b11988e7db135971e5fe96454f06b56638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4675",
    "kind": "arxiv",
    "version": 1
  }
}