Pith Number

pith:L3PT7PXO

pith:2010:L3PT7PXO5VO75V4UKQQ3RGDMQM

not attested not anchored not stored refs pending

The Optimal Gravitational Lens Telescope

C. Delacroix, C. Hanot, D. Mawet, D. Sluse, H. Le Coroller, H. Quintana, J. Surdej, M. Dominik, P. Coleman, S. Habraken, T. Sadibekova

arxiv:1006.1067 v1 · 2010-06-05 · 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{L3PT7PXO5VO75V4UKQQ3RGDMQM}

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	2026-07-04T17:30:05.935208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5edf3fbeeeed5dfed7945421b8986c83229a7c344c721cc3ea89bd74740cbf7f

Aliases

arxiv: 1006.1067 · arxiv_version: 1006.1067v1 · doi: 10.48550/arxiv.1006.1067 · pith_short_12: L3PT7PXO5VO7 · pith_short_16: L3PT7PXO5VO75V4U · pith_short_8: L3PT7PXO

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/L3PT7PXO5VO75V4UKQQ3RGDMQM \
  | 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: 5edf3fbeeeed5dfed7945421b8986c83229a7c344c721cc3ea89bd74740cbf7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61408805813869ac494fb7322f3e8baf4e43da0b81b09d070b5086465fb66b10",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2010-06-05T21:20:41Z",
    "title_canon_sha256": "81c279a62663d7734b624e99722ff5a10946f70f5c005064a1f8eeed09862fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1067",
    "kind": "arxiv",
    "version": 1
  }
}