Pith Number

pith:WZHH2GIP

pith:2011:WZHH2GIPCON54G6AMICOCJAW6O

not attested not anchored not stored refs pending

Nonlinear lattice structures based on families of complex nondiffracting beams

Cornelia Denz, Martin Boguslawski, Patrick Rose

arxiv:1111.5543 v2 · 2011-11-23 · 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{WZHH2GIPCON54G6AMICOCJAW6O}

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	2026-05-18T04:00:13.327175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b64e7d190f139bde1bc06204e12416f3b3f9170b88cba5898305b296e23496da

Aliases

arxiv: 1111.5543 · arxiv_version: 1111.5543v2 · doi: 10.48550/arxiv.1111.5543 · pith_short_12: WZHH2GIPCON5 · pith_short_16: WZHH2GIPCON54G6A · pith_short_8: WZHH2GIP

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/WZHH2GIPCON54G6AMICOCJAW6O \
  | 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: b64e7d190f139bde1bc06204e12416f3b3f9170b88cba5898305b296e23496da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0bce97785cc00b9358ee3b988451756b9d05b3887f996b8dd1d5b6fc969fc1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-23T16:37:52Z",
    "title_canon_sha256": "44e99eb101c689c415062d6ad6a99ffe3d8ff89d8ede0b35bfab796e91191bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5543",
    "kind": "arxiv",
    "version": 2
  }
}