Pith Number

pith:2PJR6UNG

pith:2013:2PJR6UNGGPTQAXUDF3YE33O2VV

not attested not anchored not stored refs pending

Evaluating Laguerre-Gaussian beams with an invariant parameter

Feiran Wang, Fuli Li, Hong Gao, Junling Long, Pei Zhang, Ruifeng Liu, Yunlong Wang

arxiv:1305.6223 v1 · 2013-05-27 · 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{2PJR6UNGGPTQAXUDF3YE33O2VV}

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	2026-05-18T03:16:18.771845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d31f51a633e7005e832ef04deddaad6df8436cfe49e727a0494b272bd621cb

Aliases

arxiv: 1305.6223 · arxiv_version: 1305.6223v1 · doi: 10.48550/arxiv.1305.6223 · pith_short_12: 2PJR6UNGGPTQ · pith_short_16: 2PJR6UNGGPTQAXUD · pith_short_8: 2PJR6UNG

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/2PJR6UNGGPTQAXUDF3YE33O2VV \
  | 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: d3d31f51a633e7005e832ef04deddaad6df8436cfe49e727a0494b272bd621cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613481d621256805f7e6330aea917d3e46d2199622dd43ccb716265f66a7f79c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-27T14:01:22Z",
    "title_canon_sha256": "30d18695fe06c43a8a1f65512aa1a4beee736e386520ffbba99f66cb67e587fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6223",
    "kind": "arxiv",
    "version": 1
  }
}