Pith Number

pith:ZFZYER7N

pith:2021:ZFZYER7NMJLKGUGSW3QOIIBP6K

not attested not anchored not stored refs pending

Correcting Presbyopia with Autofocusing Liquid-Lens Eyeglasses

Aishwaryadev Banerjee, Carlos H. Mastrangelo, Chayanjit Ghosh, Hanseup Kim, Mohit U. Karkhanis, Nazmul Hasan, Rugved Likhite, Tridib Ghosh

arxiv:2101.08782 v1 · 2021-01-21 · physics.med-ph · physics.app-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFZYER7NMJLKGUGSW3QOIIBP6K}

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	2026-07-05T02:08:40.724829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9738247ed6256a350d2b6e0e4202ff2abdaa6d2d033a47fdd5c17f24b8c814d

Aliases

arxiv: 2101.08782 · arxiv_version: 2101.08782v1 · doi: 10.48550/arxiv.2101.08782 · pith_short_12: ZFZYER7NMJLK · pith_short_16: ZFZYER7NMJLKGUGS · pith_short_8: ZFZYER7N

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/ZFZYER7NMJLKGUGSW3QOIIBP6K \
  | 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: c9738247ed6256a350d2b6e0e4202ff2abdaa6d2d033a47fdd5c17f24b8c814d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a314ff8926866994c5fa015e6e217730b8fa85b2436dd3635f60ed37e2b35e6f",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.med-ph",
    "submitted_at": "2021-01-21T10:35:29Z",
    "title_canon_sha256": "ec6c000f9fad47bf2e594fd3b65bae9a3c41dd31c8019d6472823085d6d1fcb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08782",
    "kind": "arxiv",
    "version": 1
  }
}