Pith Number

pith:X3OMOXKX

pith:2019:X3OMOXKXDA2CIVYN7WBUKRF6TD

not attested not anchored not stored refs pending

Mathieu-Gauss diffraction of a multi segment-shaped laser beam

A. Nikitin, I. Zeylikovich

arxiv:1910.12938 v1 · 2019-10-28 · 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{X3OMOXKXDA2CIVYN7WBUKRF6TD}

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	2026-07-05T00:15:25.332950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bedcc75d57183424570dfd834544be98e9bd91af191766f8ff5f065b84835b19

Aliases

arxiv: 1910.12938 · arxiv_version: 1910.12938v1 · doi: 10.48550/arxiv.1910.12938 · pith_short_12: X3OMOXKXDA2C · pith_short_16: X3OMOXKXDA2CIVYN · pith_short_8: X3OMOXKX

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/X3OMOXKXDA2CIVYN7WBUKRF6TD \
  | 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: bedcc75d57183424570dfd834544be98e9bd91af191766f8ff5f065b84835b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead4a4822373c8e12ff356587d8795803c3197dbcc10c9b1e6ec5d44bd7a573c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-10-28T19:51:27Z",
    "title_canon_sha256": "c2e95ed5a7b7f26c565bec11c834594d0f43ed5ac2cb07f144e3a6b60a8a25a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.12938",
    "kind": "arxiv",
    "version": 1
  }
}