Pith Number

pith:UVF7ZQ5S

pith:2021:UVF7ZQ5S3WE6D3XA7TCKZAR4OP

not attested not anchored not stored refs pending

Roadmap on multimode light shaping

Abbas Shiri, Ahmed H. Dorrah, Alessandra Gatti, Andrea Al\`u, Andrew Forbes, Antonio Ambrosio, Asher A. Friesem, Ayman F. Abouraddy, Balpreet S. Ahluwalia, Cristian Manzoni, David Moss, Emanuele Galiffi, Federico Capasso, Firehun T. Dullo, Franco Prati, Giacomo Scalari, Giulio Cerullo, Haoran Ren, J.B. Pendry, J\'er\^ome Faist, Johann Riemensberger, Lorenzo Columbo, Luigi A. Lugiato, Marco Piccardo, Markus Hiekkam\"aki, Massimo Brambilla, Michael Kues, Nathalie Picqu\'e, Nicolas Treps, Nir Davidson, Paloma A. Huidobro, Robert Fickler, Roberto Morandotti, Simon Mahler, Sylvain Gigan, Theodor W. H\"ansch, Tobias J. Kippenberg, Vincent Ginis

arxiv:2104.03550 v1 · 2021-04-08 · 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{UVF7ZQ5S3WE6D3XA7TCKZAR4OP}

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	2026-07-05T03:45:29.355327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a54bfcc3b2dd89e1eee0fcc4ac823c73ff811d2c0b47c8dd7b76f17c3df43116

Aliases

arxiv: 2104.03550 · arxiv_version: 2104.03550v1 · doi: 10.48550/arxiv.2104.03550 · pith_short_12: UVF7ZQ5S3WE6 · pith_short_16: UVF7ZQ5S3WE6D3XA · pith_short_8: UVF7ZQ5S

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/UVF7ZQ5S3WE6D3XA7TCKZAR4OP \
  | 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: a54bfcc3b2dd89e1eee0fcc4ac823c73ff811d2c0b47c8dd7b76f17c3df43116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ec5b57120eb7458894c9ba8f2d191f4a841b2e75916ef52c99949ac68615fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-04-08T07:02:08Z",
    "title_canon_sha256": "c3c8a3a172015afaaa7661b4bce40f74fedbb977255a22a2b3f47595a15a7559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.03550",
    "kind": "arxiv",
    "version": 1
  }
}