Pith Number

pith:WF4Z6UAB

pith:2018:WF4Z6UABCAG5TEGFXLX3O4OTV4

not attested not anchored not stored refs pending

Designing double freeform surfaces for collimated beam shaping with optimal mass transportation and linear assignment problems

Dmitry A. Bykov, Evgeni A. Bezus, Evgeniy S. Andreev, Leonid L. Doskolovich, Vladimir Oliker

arxiv:1805.06712 v1 · 2018-05-17 · 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{WF4Z6UABCAG5TEGFXLX3O4OTV4}

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	2026-05-18T00:04:56.485305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1799f5001100dd990c5baefb771d3af074feb0d7f63f921d9121c6a4837f0f8

Aliases

arxiv: 1805.06712 · arxiv_version: 1805.06712v1 · doi: 10.48550/arxiv.1805.06712 · pith_short_12: WF4Z6UABCAG5 · pith_short_16: WF4Z6UABCAG5TEGF · pith_short_8: WF4Z6UAB

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/WF4Z6UABCAG5TEGFXLX3O4OTV4 \
  | 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: b1799f5001100dd990c5baefb771d3af074feb0d7f63f921d9121c6a4837f0f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4abb630d9bea68713f5f55675c11ff7a513aec0a5b0da23925ae5b25c6614439",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-05-17T11:52:52Z",
    "title_canon_sha256": "b715248a0fb5d2e1a0fdffc9bd2663d7c75e885c14c233b90c90502c8adf4ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06712",
    "kind": "arxiv",
    "version": 1
  }
}