Pith Number

pith:4QHNIDLZ

pith:2018:4QHNIDLZCFKN4UH7WXVQ4KVAAV

not attested not anchored not stored refs pending

Double freeform illumination design for prescribed wavefronts and irradiances

Christoph B\"osel, Herbert Gross

arxiv:1801.07479 v1 · 2018-01-23 · 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{4QHNIDLZCFKN4UH7WXVQ4KVAAV}

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	2026-05-18T00:25:12.744573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40ed40d791154de50ffb5eb0e2aa0054b3f62446f0ddfaff5bfb03b5bf7eba4

Aliases

arxiv: 1801.07479 · arxiv_version: 1801.07479v1 · doi: 10.48550/arxiv.1801.07479 · pith_short_12: 4QHNIDLZCFKN · pith_short_16: 4QHNIDLZCFKN4UH7 · pith_short_8: 4QHNIDLZ

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/4QHNIDLZCFKN4UH7WXVQ4KVAAV \
  | 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: e40ed40d791154de50ffb5eb0e2aa0054b3f62446f0ddfaff5bfb03b5bf7eba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a0e8c3fa8a7631adafea7bf9e78a9e0b5679fab4d9a06322627c3fdd57bc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-23T10:53:11Z",
    "title_canon_sha256": "594b2668da6c9ed386279c682b8e604bf11cff2f6536c1a1f40ab52594444e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07479",
    "kind": "arxiv",
    "version": 1
  }
}