Pith Number

pith:VYDXUUGZ

pith:2021:VYDXUUGZV6PHUOONFX7MZKIIYJ

not attested not anchored not stored refs pending

The orbital angular momentum of a turbulent atmosphere and its impact on propagating structured light fields

Andrew Forbes, Asher Klug, Isaac Nape

arxiv:2105.12412 v1 · 2021-05-26 · physics.optics · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYDXUUGZV6PHUOONFX7MZKIIYJ}

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	2026-07-05T03:16:16.974357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae077a50d9af9e7a39cd2dfecca908c25ce6ead81078c2c789794d1b5ed813d8

Aliases

arxiv: 2105.12412 · arxiv_version: 2105.12412v1 · doi: 10.48550/arxiv.2105.12412 · pith_short_12: VYDXUUGZV6PH · pith_short_16: VYDXUUGZV6PHUOON · pith_short_8: VYDXUUGZ

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/VYDXUUGZV6PHUOONFX7MZKIIYJ \
  | 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: ae077a50d9af9e7a39cd2dfecca908c25ce6ead81078c2c789794d1b5ed813d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0868a867ac691b2d37f4eb489a6fda379152891801679c7ca87985575e3c39a8",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-05-26T09:05:33Z",
    "title_canon_sha256": "90b7f03a54202d49e7355ec90baa3bce91dfaeca231b47aa8134fc12b1fd9c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12412",
    "kind": "arxiv",
    "version": 1
  }
}