Pith Number

pith:4GKULX6F

pith:2014:4GKULX6FKNJLCGAYGOJHCDRTSV

not attested not anchored not stored refs pending

A variational approach to the inverse photolithography problem

Fadil Santosa, Luca Rondi, Zhu Wang

arxiv:1410.4463 v1 · 2014-10-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GKULX6FKNJLCGAYGOJHCDRTSV}

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	2026-05-18T01:22:52.380428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19545dfc55352b118183392710e33956e1e525b04505005d5f29cc6530f3f6e

Aliases

arxiv: 1410.4463 · arxiv_version: 1410.4463v1 · doi: 10.48550/arxiv.1410.4463 · pith_short_12: 4GKULX6FKNJL · pith_short_16: 4GKULX6FKNJLCGAY · pith_short_8: 4GKULX6F

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/4GKULX6FKNJLCGAYGOJHCDRTSV \
  | 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: e19545dfc55352b118183392710e33956e1e525b04505005d5f29cc6530f3f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d608a402c7d3acaf7376aeae4fc029994f84b70811a33477eb38d4e1639bb01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-16T15:17:12Z",
    "title_canon_sha256": "31bca2ab862e517397c021003f968ef1acf4fc6e017d49a7a2b07287043810e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4463",
    "kind": "arxiv",
    "version": 1
  }
}