Pith Number

pith:NX6BWXPL

pith:2010:NX6BWXPLHSVWQNNZOH2WSIOTOK

not attested not anchored not stored refs pending

Perfect imaging in the optical domain using dielectric materials

Lucas H. Gabrielli, Michal Lipson, Ulf Leonhardt

arxiv:1007.2564 v2 · 2010-07-15 · 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{NX6BWXPLHSVWQNNZOH2WSIOTOK}

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	2026-05-18T03:55:22.045584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dfc1b5deb3cab6835b971f56921d3729e5206144026d165a99e861d2661826c

Aliases

arxiv: 1007.2564 · arxiv_version: 1007.2564v2 · doi: 10.48550/arxiv.1007.2564 · pith_short_12: NX6BWXPLHSVW · pith_short_16: NX6BWXPLHSVWQNNZ · pith_short_8: NX6BWXPL

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/NX6BWXPLHSVWQNNZOH2WSIOTOK \
  | 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: 6dfc1b5deb3cab6835b971f56921d3729e5206144026d165a99e861d2661826c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8593fd1ead49f1f9a82cc9e5d4c5cda777b2f49ef4ba29e50b9c3c8e71dd660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-07-15T13:59:00Z",
    "title_canon_sha256": "f6ab2563d47ec13426e841f5643f8bd09b5bd68cc82fc014b607184922cfcbfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2564",
    "kind": "arxiv",
    "version": 2
  }
}