Pith Number

pith:URUDU6QT

pith:2020:URUDU6QTQS75W3LLLYQUH2XTNX

not attested not anchored not stored refs pending

Nonlinear beam self-imaging and self-focusing dynamics in a GRIN multimode optical fiber: theory and experiments

Alessandro Tonello, Alioune Niang, Fabio Mangini, Mario Ferraro, Mario Zitelli, Rocco Crescenzi, Stefan Wabnitz, Tigran Mansuryan, Tobias Hansson, Vincent Couderc

arxiv:2005.07280 v1 · 2020-05-14 · 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{URUDU6QTQS75W3LLLYQUH2XTNX}

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	2026-07-05T01:30:31.859753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4683a7a1384bfdb6d6b5e2143eaf36de7f15b50394e12c2e43ca1b2f738627a

Aliases

arxiv: 2005.07280 · arxiv_version: 2005.07280v1 · doi: 10.48550/arxiv.2005.07280 · pith_short_12: URUDU6QTQS75 · pith_short_16: URUDU6QTQS75W3LL · pith_short_8: URUDU6QT

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/URUDU6QTQS75W3LLLYQUH2XTNX \
  | 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: a4683a7a1384bfdb6d6b5e2143eaf36de7f15b50394e12c2e43ca1b2f738627a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d27b3be1d41ed5e6797f6dcbca25c6ff27955ee1b842041f4914812839108558",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-05-14T22:00:29Z",
    "title_canon_sha256": "f1375287026bad90be27ee17dafb0d4d1e0b80bc732872fc60b7772d67473fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.07280",
    "kind": "arxiv",
    "version": 1
  }
}