Pith Number

pith:Q6AWLFZK

pith:2013:Q6AWLFZKI4TODAJEXU5XCABWDP

not attested not anchored not stored refs pending

Two-photon optics of Bessel-Gaussian modes

Andrew Forbes, Filippus S. Roux, Jacquiline Romero, Melanie McLaren, Miles J. Padgett

arxiv:1306.2767 v1 · 2013-06-12 · quant-ph · 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{Q6AWLFZKI4TODAJEXU5XCABWDP}

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	2026-05-18T00:56:51.830937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878165972a4726e18124bd3b7100361bdc21d16068435c926063b468583bc14d

Aliases

arxiv: 1306.2767 · arxiv_version: 1306.2767v1 · doi: 10.48550/arxiv.1306.2767 · pith_short_12: Q6AWLFZKI4TO · pith_short_16: Q6AWLFZKI4TODAJE · pith_short_8: Q6AWLFZK

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/Q6AWLFZKI4TODAJEXU5XCABWDP \
  | 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: 878165972a4726e18124bd3b7100361bdc21d16068435c926063b468583bc14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1384883f2a83f9a5397be31e06163968400e4d5c8b7337c2960685b55a45007f",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-06-12T09:42:08Z",
    "title_canon_sha256": "5d95d253cc56155b7826b97e231f07241e3a53aa9dd5d34f093e02ea518e4b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2767",
    "kind": "arxiv",
    "version": 1
  }
}