Pith Number

pith:HQRNQHJJ

pith:2019:HQRNQHJJIDMBVTMKUODVH377S4

not attested not anchored not stored refs pending

Chromatic Aberration in Metalenses

Ahmad Sabra, Cristian E. Guti\'errez

arxiv:1905.02543 v1 · 2019-05-03 · physics.class-ph · math.AP · 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{HQRNQHJJIDMBVTMKUODVH377S4}

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	2026-05-17T23:46:51.137175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c22d81d2940d81acd8aa38753efff97245939082199bbdf89cb63318ecdb3c3

Aliases

arxiv: 1905.02543 · arxiv_version: 1905.02543v1 · doi: 10.48550/arxiv.1905.02543 · pith_short_12: HQRNQHJJIDMB · pith_short_16: HQRNQHJJIDMBVTMK · pith_short_8: HQRNQHJJ

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/HQRNQHJJIDMBVTMKUODVH377S4 \
  | 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: 3c22d81d2940d81acd8aa38753efff97245939082199bbdf89cb63318ecdb3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d3e8fc4447a566f991efa129e158b3f3df0c0bd06909853ca33b40f8f591d2",
    "cross_cats_sorted": [
      "math.AP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2019-05-03T15:42:24Z",
    "title_canon_sha256": "e110770ec8d46b19393bf2a560577fc35869347303a8def68f2bc2bde4e5251f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02543",
    "kind": "arxiv",
    "version": 1
  }
}