Pith Number

pith:XXXV4NH3

pith:2019:XXXV4NH3A3CGMLLEAIC4Z76KFW

not attested not anchored not stored refs pending

Airy beams and accelerating waves: An overview of recent advances

Demetrios N. Christodoulides, Mordechai Segev, Nikolaos K. Efremidis, Zhigang Chen

arxiv:1904.02933 v2 · 2019-04-05 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXXV4NH3A3CGMLLEAIC4Z76KFW}

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	2026-07-05T03:30:49.296344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdef5e34fb06c4662d640205ccffca2da33f53d66e9e5695d8e0a2470a71d622

Aliases

arxiv: 1904.02933 · arxiv_version: 1904.02933v2 · doi: 10.48550/arxiv.1904.02933 · pith_short_12: XXXV4NH3A3CG · pith_short_16: XXXV4NH3A3CGMLLE · pith_short_8: XXXV4NH3

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/XXXV4NH3A3CGMLLEAIC4Z76KFW \
  | 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: bdef5e34fb06c4662d640205ccffca2da33f53d66e9e5695d8e0a2470a71d622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fd4a121f887e06b74bd1262cb407b052793edeba09cbfa32f44168c048e3f1",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-04-05T08:28:59Z",
    "title_canon_sha256": "f37c68d229bb355f6c68e62162d5293234e03e65af2696c7a3c4cbd38afb5f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02933",
    "kind": "arxiv",
    "version": 2
  }
}