Pith Number

pith:T7V7TJYL

pith:2011:T7V7TJYLVDTRSSX3WR6KYL52DT

not attested not anchored not stored refs pending

Luneburg lens in silicon photonics

Andrea Di Falco, Susanne C Kehr, Ulf Leonhardt

arxiv:1101.1293 v1 · 2011-01-06 · 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{T7V7TJYLVDTRSSX3WR6KYL52DT}

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	2026-05-18T02:04:12.147713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9febf9a70ba8e7194afbb47cac2fba1cee0b92dab74ce66ee133900e2a93780e

Aliases

arxiv: 1101.1293 · arxiv_version: 1101.1293v1 · doi: 10.48550/arxiv.1101.1293 · pith_short_12: T7V7TJYLVDTR · pith_short_16: T7V7TJYLVDTRSSX3 · pith_short_8: T7V7TJYL

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/T7V7TJYLVDTRSSX3WR6KYL52DT \
  | 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: 9febf9a70ba8e7194afbb47cac2fba1cee0b92dab74ce66ee133900e2a93780e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce337e3985677cb68f3aa27444ef47659719dd7f9e9d546eaf5f64c8814911d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-01-06T20:56:52Z",
    "title_canon_sha256": "f0d94af98235edee2086b2a724566f0eadd696cf4e4de5ffd8d691f968b3f3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1293",
    "kind": "arxiv",
    "version": 1
  }
}