Pith Number

pith:4NPTM4WP

pith:2025:4NPTM4WPANTOI2HJXODGPR43T4

not attested not anchored not stored refs pending

Inferring Structure via Duality for Photonic Inverse Design

Alejandro W. Rodriguez, Alessio Amaolo, Pengning Chao, Sean Molesky

arxiv:2504.14083 v1 · 2025-04-18 · math.OC · 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{4NPTM4WPANTOI2HJXODGPR43T4}

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	2026-07-05T10:51:10.614062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e

Aliases

arxiv: 2504.14083 · arxiv_version: 2504.14083v1 · doi: 10.48550/arxiv.2504.14083 · pith_short_12: 4NPTM4WPANTO · pith_short_16: 4NPTM4WPANTOI2HJ · pith_short_8: 4NPTM4WP

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/4NPTM4WPANTOI2HJXODGPR43T4 \
  | 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: e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40644b282b2f9838fb5fcea7b43e329d9557eeec18f49996a212fa20ac787da8",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-18T21:27:53Z",
    "title_canon_sha256": "2166b8e053e2fd4f7bbb72a1c5b8f7353e4105ae68d4f105b393753c443b449c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14083",
    "kind": "arxiv",
    "version": 1
  }
}