Pith Number

pith:RDVEC546

pith:2009:RDVEC546AKFKBKOI7FU7G7ECL5

not attested not anchored not stored refs pending

Perfect imaging with positive refraction in three dimensions

Thomas G. Philbin, Ulf Leonhardt

arxiv:0911.0552 v1 · 2009-11-03 · 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{RDVEC546AKFKBKOI7FU7G7ECL5}

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	2026-05-18T02:11:00.247889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ea41779e028aa0a9c8f969f37c825f5fcc336e1d43b664057b953ee1d3f1c2

Aliases

arxiv: 0911.0552 · arxiv_version: 0911.0552v1 · doi: 10.48550/arxiv.0911.0552 · pith_short_12: RDVEC546AKFK · pith_short_16: RDVEC546AKFKBKOI · pith_short_8: RDVEC546

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/RDVEC546AKFKBKOI7FU7G7ECL5 \
  | 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: 88ea41779e028aa0a9c8f969f37c825f5fcc336e1d43b664057b953ee1d3f1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35fbe5aaa2ede05f8fe075acf9e11b5ab9cc571802134706788863aba1b93eb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-11-03T11:19:19Z",
    "title_canon_sha256": "d091000b0dd0d6f8580c1c298d8e3f8317ee1f6c1872263dd5bca76376d3fa05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0552",
    "kind": "arxiv",
    "version": 1
  }
}