Pith Number

pith:BW5V4OLY

pith:2016:BW5V4OLYPJRLBBENEGJ2VPEUGD

not attested not anchored not stored refs pending

Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves

Abdelkrim Bendahmane, Alain Barth\'el\'emy, Alessandro Tonello, Badr Mohamed Shalaby, Guy Millot, Katarzyna Krupa, Stefan Wabnitz, Vincent Couderc

arxiv:1602.04991 v1 · 2016-02-16 · 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{BW5V4OLYPJRLBBENEGJ2VPEUGD}

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	2026-05-18T01:15:13.990503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbb5e39787a62b0848d2193aabc9430fe0a745006d49754d9a618c808d8fb67

Aliases

arxiv: 1602.04991 · arxiv_version: 1602.04991v1 · doi: 10.48550/arxiv.1602.04991 · pith_short_12: BW5V4OLYPJRL · pith_short_16: BW5V4OLYPJRLBBEN · pith_short_8: BW5V4OLY

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/BW5V4OLYPJRLBBENEGJ2VPEUGD \
  | 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: 0dbb5e39787a62b0848d2193aabc9430fe0a745006d49754d9a618c808d8fb67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6efc1413a20c41918b406a0291b381c7435d6c8dc950b94942037cc5781e5d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-16T11:34:31Z",
    "title_canon_sha256": "b9e2a88b86aa2ca018e28df59b951d7b590dd59c879074287f521e319ec65545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04991",
    "kind": "arxiv",
    "version": 1
  }
}