Pith Number

pith:HUUJX43Y

pith:2018:HUUJX43YYYT3HSZEYJFMMEYAFD

not attested not anchored not stored refs pending

On Maximum Focused Electric Energy in Bounded Regions

Jonas Teuwen, Paul Urbach

arxiv:1801.02450 v1 · 2018-01-08 · physics.optics · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUUJX43YYYT3HSZEYJFMMEYAFD}

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	2026-05-18T00:26:31.573716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d289bf378c627b3cb24c24ac6130028c63b77b2cec965419ad49cf775102614

Aliases

arxiv: 1801.02450 · arxiv_version: 1801.02450v1 · doi: 10.48550/arxiv.1801.02450 · pith_short_12: HUUJX43YYYT3 · pith_short_16: HUUJX43YYYT3HSZE · pith_short_8: HUUJX43Y

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/HUUJX43YYYT3HSZEYJFMMEYAFD \
  | 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: 3d289bf378c627b3cb24c24ac6130028c63b77b2cec965419ad49cf775102614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743a45c4576b7f5e4e1e20cf3afc6a8795b47057e20be08e67bae3b0b8c0524b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-08T14:48:23Z",
    "title_canon_sha256": "39e684eb8eeaeefe104754ef49f358d2f4a603c161c321293f18399a3daa2019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02450",
    "kind": "arxiv",
    "version": 1
  }
}