Pith Number

pith:FBXPHFRB

pith:2019:FBXPHFRBUHEMV5GNR4B4XPUMBJ

not attested not anchored not stored refs pending

Photonic hook generated by twin-ellipse microcylinder

Guoqiang Gu, Jiahao Jiang, Jie Hu, Liyang Shao, Ming Chen, Sankhyabrata Bandyopadhyay, Xingliang Shen, Yuhui Liu, Zeng Peng

arxiv:1910.13146 v1 · 2019-10-29 · 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{FBXPHFRBUHEMV5GNR4B4XPUMBJ}

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	2026-07-05T00:15:27.366520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

286ef39621a1c8caf4cd8f03cbbe8c0a7704952ffb3d3db3f294da8b50421fe5

Aliases

arxiv: 1910.13146 · arxiv_version: 1910.13146v1 · doi: 10.48550/arxiv.1910.13146 · pith_short_12: FBXPHFRBUHEM · pith_short_16: FBXPHFRBUHEMV5GN · pith_short_8: FBXPHFRB

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/FBXPHFRBUHEMV5GNR4B4XPUMBJ \
  | 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: 286ef39621a1c8caf4cd8f03cbbe8c0a7704952ffb3d3db3f294da8b50421fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ee53548d2619d938ced7e23899f99cd7933bb705a17ccb9f8ecb0929d6cfb23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-10-29T09:30:41Z",
    "title_canon_sha256": "b603e7c162b98d71dc1424354bcd0458adb80f877f3dd426329657885088e88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13146",
    "kind": "arxiv",
    "version": 1
  }
}