Pith Number

pith:3BN2253J

pith:2020:3BN2253JCTPXSBRXU22NGBORKL

not attested not anchored not stored refs pending

Free-form broadband flat lenses for visible imaging

Apratim Majumder, Monjurul Meem, Rajesh Menon

arxiv:2008.03196 v1 · 2020-08-07 · 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{3BN2253JCTPXSBRXU22NGBORKL}

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	2026-07-05T01:25:31.747524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85bad776914df790637a6b4d305d152c51f53f1fad20770e75589abc20e82ac

Aliases

arxiv: 2008.03196 · arxiv_version: 2008.03196v1 · doi: 10.48550/arxiv.2008.03196 · pith_short_12: 3BN2253JCTPX · pith_short_16: 3BN2253JCTPXSBRX · pith_short_8: 3BN2253J

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/3BN2253JCTPXSBRXU22NGBORKL \
  | 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: d85bad776914df790637a6b4d305d152c51f53f1fad20770e75589abc20e82ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c4a7d67e04abb56c93013d1f30942e9da8f96e2f2bab5df348157bcdba8f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-08-07T14:24:20Z",
    "title_canon_sha256": "f063295347db7694c5ca87bd626f183a11fd79a100a2dd90ae1a4b7b6287c483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.03196",
    "kind": "arxiv",
    "version": 1
  }
}