Pith Number

pith:OODDJ2XY

pith:2017:OODDJ2XYXIXYOJTYMLF52FDQX7

not attested not anchored not stored refs pending

Ray mapping approach in double freeform surface design for collimated beam shaping beyond the paraxial approximation

Christoph B\"osel, Herbert Gross, Norman G. Worku

arxiv:1701.03076 v1 · 2017-01-11 · 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{OODDJ2XYXIXYOJTYMLF52FDQX7}

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	2026-05-18T00:45:58.343463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738634eaf8ba2f87267862cbdd1470bff80ef4b2ff42c5c7827ea72f5d490bba

Aliases

arxiv: 1701.03076 · arxiv_version: 1701.03076v1 · doi: 10.48550/arxiv.1701.03076 · pith_short_12: OODDJ2XYXIXY · pith_short_16: OODDJ2XYXIXYOJTY · pith_short_8: OODDJ2XY

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/OODDJ2XYXIXYOJTYMLF52FDQX7 \
  | 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: 738634eaf8ba2f87267862cbdd1470bff80ef4b2ff42c5c7827ea72f5d490bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9d44e430ca796b0ccffa8a3d29e0f8d05993ee926981660599bd2a4809456b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-01-11T17:38:06Z",
    "title_canon_sha256": "9ae4e05fe633394eb18835c2ef05820d0c70c55720e512c147967e0b67bc51f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03076",
    "kind": "arxiv",
    "version": 1
  }
}