Pith Number

pith:6LJHB3X7

pith:2016:6LJHB3X7GMZMBKZ2KJEBMRIZTZ

not attested not anchored not stored refs pending

Propagation of an Airy-Gaussian beam in defected photonic lattices

Huagang Li, Jing Xue, Xing Zhu, Yang Li, Zhiwei Shi

arxiv:1611.04734 v1 · 2016-11-15 · 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{6LJHB3X7GMZMBKZ2KJEBMRIZTZ}

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	2026-05-18T00:43:59.198141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d270eeff3332c0ab3a52481645199e61dc160f72dcea33f2cec57904b246f5

Aliases

arxiv: 1611.04734 · arxiv_version: 1611.04734v1 · doi: 10.48550/arxiv.1611.04734 · pith_short_12: 6LJHB3X7GMZM · pith_short_16: 6LJHB3X7GMZMBKZ2 · pith_short_8: 6LJHB3X7

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/6LJHB3X7GMZMBKZ2KJEBMRIZTZ \
  | 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: f2d270eeff3332c0ab3a52481645199e61dc160f72dcea33f2cec57904b246f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02150b426c72c889dac7fa6b6771521369921fd25614cd00f7d8ffba98f8c93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-11-15T08:21:59Z",
    "title_canon_sha256": "81b0d12789789d15b0dfb71b74bb4240ef4d7bdb830df44bc2a265b37962ed06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04734",
    "kind": "arxiv",
    "version": 1
  }
}