Pith Number

pith:MTI575KC

pith:2021:MTI575KCARAGV5MTO75PAYYKJG

not attested not anchored not stored refs pending

Circumventing size-bandwidth limits in imaging with flat lenses

Apratim Majumder, Monjurul Meem, Nicole Brimhall, Rajesh Menon

arxiv:2112.15157 v1 · 2021-12-30 · 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{MTI575KCARAGV5MTO75PAYYKJG}

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	2026-07-05T03:44:37.254565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d1dff54204406af59377faf0630a49b21bdee1cc9d99aac38afbc343083d56

Aliases

arxiv: 2112.15157 · arxiv_version: 2112.15157v1 · doi: 10.48550/arxiv.2112.15157 · pith_short_12: MTI575KCARAG · pith_short_16: MTI575KCARAGV5MT · pith_short_8: MTI575KC

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/MTI575KCARAGV5MTO75PAYYKJG \
  | 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: 64d1dff54204406af59377faf0630a49b21bdee1cc9d99aac38afbc343083d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24062ad650394ec183673b1348a896a52bac18bb393f213f35c3b8730b9b3e3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-12-30T18:24:46Z",
    "title_canon_sha256": "69bed39d15cd586a5907f0fce3d5fff6342107644b600fa3ec21bb7e4ff10045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15157",
    "kind": "arxiv",
    "version": 1
  }
}