Pith Number

pith:DOK72IVX

pith:2019:DOK72IVX5W7PSX6HSQMWPQSB7Q

not attested not anchored not stored refs pending

Optimization theory and application of nano-microscopic properties of dielectric microspheres

Fan Liu, Guorong Sui, Xiangmei Dong, Xiliang Yang, Yuehua Zhang

arxiv:1909.09413 v1 · 2019-09-20 · 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{DOK72IVX5W7PSX6HSQMWPQSB7Q}

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	2026-07-05T00:05:59.462690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b95fd22b7edbef95fc7941967c241fc0cfbed0b99daa528f63a5068a55b6071

Aliases

arxiv: 1909.09413 · arxiv_version: 1909.09413v1 · doi: 10.48550/arxiv.1909.09413 · pith_short_12: DOK72IVX5W7P · pith_short_16: DOK72IVX5W7PSX6H · pith_short_8: DOK72IVX

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/DOK72IVX5W7PSX6HSQMWPQSB7Q \
  | 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: 1b95fd22b7edbef95fc7941967c241fc0cfbed0b99daa528f63a5068a55b6071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddaa58792732fbc442d0ca7f2040de709b8e8e6244fd4f9687e8beacc6b8f298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-09-20T10:31:51Z",
    "title_canon_sha256": "3e5948036420a96f5d74979dee6cdde910790db35c996c22a0e63e0848d4dec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09413",
    "kind": "arxiv",
    "version": 1
  }
}