Pith Number

pith:YXGRM6CL

pith:2013:YXGRM6CLX2IUDMPQ2MPRXKO2FI

not attested not anchored not stored refs pending

Nonlinear Transformation of Orbital Angular Momentum through Quasi-phase Matching

Fei Xu, Guang-hao Shao, Jin-hui Chen, Yan-qing Lu, Zi-jian Wu

arxiv:1309.1876 v1 · 2013-09-07 · 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{YXGRM6CLX2IUDMPQ2MPRXKO2FI}

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	2026-05-18T03:04:48.610709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5cd16784bbe9141b1f0d31f1ba9da2a0dc266f54e8d1ea1fb89acc91820577c

Aliases

arxiv: 1309.1876 · arxiv_version: 1309.1876v1 · doi: 10.48550/arxiv.1309.1876 · pith_short_12: YXGRM6CLX2IU · pith_short_16: YXGRM6CLX2IUDMPQ · pith_short_8: YXGRM6CL

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/YXGRM6CLX2IUDMPQ2MPRXKO2FI \
  | 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: c5cd16784bbe9141b1f0d31f1ba9da2a0dc266f54e8d1ea1fb89acc91820577c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "381c84f02a869306d368ede1f5766e146065976053f3efce83c10b66e48efefa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-09-07T15:44:42Z",
    "title_canon_sha256": "6175ba90dfbb716c4935bd368b336bdabe73ff2247ca5cf3a275d528b7298b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1876",
    "kind": "arxiv",
    "version": 1
  }
}