Pith Number

pith:K4G2OSCQ

pith:2013:K4G2OSCQILOF5XFXCNH73MYGT5

not attested not anchored not stored refs pending

Propagation of Bessel and Airy beams through atmospheric turbulence

C.C. Davis, J.P. Palastro, P. Sprangle, W. Nelson

arxiv:1312.0620 v1 · 2013-12-02 · 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{K4G2OSCQILOF5XFXCNH73MYGT5}

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	2026-05-18T01:45:59.608458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570da7485042dc5edcb7134ffdb3069f636718f77589ccd6a91ddc69483c1f15

Aliases

arxiv: 1312.0620 · arxiv_version: 1312.0620v1 · doi: 10.48550/arxiv.1312.0620 · pith_short_12: K4G2OSCQILOF · pith_short_16: K4G2OSCQILOF5XFX · pith_short_8: K4G2OSCQ

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/K4G2OSCQILOF5XFXCNH73MYGT5 \
  | 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: 570da7485042dc5edcb7134ffdb3069f636718f77589ccd6a91ddc69483c1f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6dd28a4368732f68f0021b87ac52006d271f00f65644993b69c0cc9fcc6bc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-12-02T21:06:39Z",
    "title_canon_sha256": "a8faf19d7e3aae7ccc30ecc967e6ea4a65a17378637d573715d284cfe12b0a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0620",
    "kind": "arxiv",
    "version": 1
  }
}