Pith Number

pith:AK6YYHZP

pith:2010:AK6YYHZPGOUN2VQAOPSJTLSRBK

not attested not anchored not stored refs pending

Laguerre-Gaussian modes: entangled state representation and generalized Wigner transform in quantum optics

Hong-yi Fan, Li-yun Hu

arxiv:1008.4846 v1 · 2010-08-28 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AK6YYHZPGOUN2VQAOPSJTLSRBK}

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	2026-05-18T04:41:43.562887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bd8c1f2f33a8dd560073e499ae510ab53b0618474f92080f5bcf18e02cb87e

Aliases

arxiv: 1008.4846 · arxiv_version: 1008.4846v1 · doi: 10.48550/arxiv.1008.4846 · pith_short_12: AK6YYHZPGOUN · pith_short_16: AK6YYHZPGOUN2VQA · pith_short_8: AK6YYHZP

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/AK6YYHZPGOUN2VQAOPSJTLSRBK \
  | 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: 02bd8c1f2f33a8dd560073e499ae510ab53b0618474f92080f5bcf18e02cb87e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d41a01ffd6620598dcb68bc63749cce44310627f7aa9ba9b09dcb7e862d704b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-28T08:29:29Z",
    "title_canon_sha256": "1718d75ff83d0c7006073c0096d22554c547d45d24bb5031ade7ccc9feff33fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4846",
    "kind": "arxiv",
    "version": 1
  }
}