Pith Number

pith:7567W5CA

pith:2010:7567W5CAZY43KZKGT7OPVTPCML

not attested not anchored not stored refs pending

Reply to Comment on Reply to Comment on `Perfect imaging without negative refraction'

Ulf Leonhardt

arxiv:1010.4161 v1 · 2010-10-20 · 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{7567W5CAZY43KZKGT7OPVTPCML}

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	2026-05-18T02:05:00.713337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff7dfb7440ce39b565469fdcfacde262e6fd75e0da632d8b4700989d9ee9e2b3

Aliases

arxiv: 1010.4161 · arxiv_version: 1010.4161v1 · doi: 10.48550/arxiv.1010.4161 · pith_short_12: 7567W5CAZY43 · pith_short_16: 7567W5CAZY43KZKG · pith_short_8: 7567W5CA

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/7567W5CAZY43KZKGT7OPVTPCML \
  | 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: ff7dfb7440ce39b565469fdcfacde262e6fd75e0da632d8b4700989d9ee9e2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16d48c440f5cd97eb18a10746c06eb060b55b8dbe4a03a6e2ca62f43b9b80ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-20T11:06:55Z",
    "title_canon_sha256": "74048381d9dc0e3844b4875f4f7dfd068544b10c6a5211f6507a61c7d09c35cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4161",
    "kind": "arxiv",
    "version": 1
  }
}