Pith Number

pith:TUPIKMIO

pith:2024:TUPIKMIOVL7QFFTCTMQX5LH5XC

not attested not anchored not stored refs pending

Beam Shaping Based on Axisymmetric Aspheric Mirrors

Jianfei Hua, Jiucheng Chen, Wei Lu, Xiaonan Ning, Zhihao Chen

arxiv:2405.09048 v1 · 2024-05-15 · 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{TUPIKMIOVL7QFFTCTMQX5LH5XC}

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	2026-07-05T08:19:12.377515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d1e85310eaaff0296629b217eacfdb8b1f003a5af6871227518522e322171d6

Aliases

arxiv: 2405.09048 · arxiv_version: 2405.09048v1 · doi: 10.48550/arxiv.2405.09048 · pith_short_12: TUPIKMIOVL7Q · pith_short_16: TUPIKMIOVL7QFFTC · pith_short_8: TUPIKMIO

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/TUPIKMIOVL7QFFTCTMQX5LH5XC \
  | 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: 9d1e85310eaaff0296629b217eacfdb8b1f003a5af6871227518522e322171d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6dee0442060108b3289df2b781b9f7bf3dcb5bca267d39271a3141b03f2a49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2024-05-15T02:54:07Z",
    "title_canon_sha256": "38258dd10c0a5c249bb896fbe34c3288e9e4a32d3b79d0293cc5ce8f3a15b2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09048",
    "kind": "arxiv",
    "version": 1
  }
}