Pith. sign in
Pith Number

pith:PA2KXXGG

pith:2020:PA2KXXGGPCURNUDNJY7SPRHJVJ
not attested not anchored not stored refs pending

Inverse design in photonics by topology optimization: tutorial

Ole Sigmund, Rasmus E. Christiansen

arxiv:2008.11816 v4 · 2020-08-23 · physics.optics · physics.comp-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PA2KXXGGPCURNUDNJY7SPRHJVJ}

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 2026-07-05T02:18:05.375675Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7834abdcc678a916d06d4e3f27c4e9aa53e46cf4e3b338b43ba9ecc4875529bd

Aliases

arxiv: 2008.11816 · arxiv_version: 2008.11816v4 · doi: 10.48550/arxiv.2008.11816 · pith_short_12: PA2KXXGGPCUR · pith_short_16: PA2KXXGGPCURNUDN · pith_short_8: PA2KXXGG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PA2KXXGGPCURNUDNJY7SPRHJVJ \
  | 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: 7834abdcc678a916d06d4e3f27c4e9aa53e46cf4e3b338b43ba9ecc4875529bd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ab2acd3fcc116337b278d2be684d0d34c6094aa68f830b6c42ae9e07fe123c1c",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-08-23T14:06:56Z",
    "title_canon_sha256": "d87726b50e226068ccdc66d148159c794d71fad9ea148dd78805bcc067e1c6e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11816",
    "kind": "arxiv",
    "version": 4
  }
}