Pith Number

pith:GAK4NB2O

pith:2022:GAK4NB2OQ5BAC5TTMXR55TQH2N

not attested not anchored not stored refs pending

Phase front retrieval and correction of Bessel beams

B. Miao, H.M. Milchberg, J.E. Shrock, L. Feder

arxiv:2201.09964 v1 · 2022-01-24 · physics.optics · physics.acc-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{GAK4NB2OQ5BAC5TTMXR55TQH2N}

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	2026-07-05T04:11:55.272866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3015c6874e874201767365e3dece07d36c077157e29409e52686f9a1b089e5c8

Aliases

arxiv: 2201.09964 · arxiv_version: 2201.09964v1 · doi: 10.48550/arxiv.2201.09964 · pith_short_12: GAK4NB2OQ5BA · pith_short_16: GAK4NB2OQ5BAC5TT · pith_short_8: GAK4NB2O

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/GAK4NB2OQ5BAC5TTMXR55TQH2N \
  | 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: 3015c6874e874201767365e3dece07d36c077157e29409e52686f9a1b089e5c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb71283e2b140353b981e0fff6e38eaa20af254654c873e1f9bc69270330254",
    "cross_cats_sorted": [
      "physics.acc-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-01-24T21:32:57Z",
    "title_canon_sha256": "3f44f2d2afebe23f492d128cb6e7c36148712990bdd76a7cebd0951a7e3d159b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.09964",
    "kind": "arxiv",
    "version": 1
  }
}