Pith Number

pith:G5LJF7RX

pith:2010:G5LJF7RXDMNVOXOY33F7SRKSGZ

not attested not anchored not stored refs pending

Approximate magnifying perfect lens with positive refraction

Martin Sarbort, Tomas Tyc

arxiv:1010.3178 v2 · 2010-10-15 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5LJF7RXDMNVOXOY33F7SRKSGZ}

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	2026-05-18T04:04:44.912466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375692fe371b1b575dd8decbf945523642e6ee253e9dc73e7af96aed34340171

Aliases

arxiv: 1010.3178 · arxiv_version: 1010.3178v2 · doi: 10.48550/arxiv.1010.3178 · pith_short_12: G5LJF7RXDMNV · pith_short_16: G5LJF7RXDMNVOXOY · pith_short_8: G5LJF7RX

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/G5LJF7RXDMNVOXOY33F7SRKSGZ \
  | 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: 375692fe371b1b575dd8decbf945523642e6ee253e9dc73e7af96aed34340171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f758f8a1d15e887cb668f3e71d1718a04c8def960a21df45b43816bc50de02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-15T14:21:28Z",
    "title_canon_sha256": "3738f1e6d48ca290bb23b2469b83ac9917f418d7f012f8b4307a570bb2ec67ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3178",
    "kind": "arxiv",
    "version": 2
  }
}