Pith Number

pith:2ME4TFX2

pith:2016:2ME4TFX2V76HMWGVDON2ETNUW2

not attested not anchored not stored refs pending

Error correction with orbital angular momentum of multiple photons propagating in a turbulent atmosphere

Jose Raul Gonzalez Alonso, Todd Brun

arxiv:1611.04039 v2 · 2016-11-12 · 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{2ME4TFX2V76HMWGVDON2ETNUW2}

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	2026-05-18T00:40:17.415742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d309c996faaffc7658d51b9ba24db4b682a284d5182010376d115df30fc3129a

Aliases

arxiv: 1611.04039 · arxiv_version: 1611.04039v2 · doi: 10.48550/arxiv.1611.04039 · pith_short_12: 2ME4TFX2V76H · pith_short_16: 2ME4TFX2V76HMWGV · pith_short_8: 2ME4TFX2

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/2ME4TFX2V76HMWGVDON2ETNUW2 \
  | 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: d309c996faaffc7658d51b9ba24db4b682a284d5182010376d115df30fc3129a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848573f66614e02a0f14d12ae35d9d8cf1b3b7dbf7f28dfde97dc2af655b5020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-11-12T20:35:43Z",
    "title_canon_sha256": "6089b1f54b396c680c120a23cbd98782fb9a3062323584e7b4413a90c0799d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04039",
    "kind": "arxiv",
    "version": 2
  }
}