Pith Number

pith:L3MBTQI5

pith:2016:L3MBTQI55OGMUXVGNKF2QX27DJ

not attested not anchored not stored refs pending

Exploiting spatiotemporal degrees of freedom for far field subwavelength focusing using time reversal in fractals

Fabrice Lemoult, Geoffroy Lerosey, Mathias Fink, Matthieu Dupr\'e

arxiv:1603.01725 v1 · 2016-03-05 · 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{L3MBTQI55OGMUXVGNKF2QX27DJ}

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	2026-05-18T01:13:54.762921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed819c11deb8cca5ea66a8ba85f5f1a78761ab4cfc0c3eeb50664c5b30828f7

Aliases

arxiv: 1603.01725 · arxiv_version: 1603.01725v1 · doi: 10.48550/arxiv.1603.01725 · pith_short_12: L3MBTQI55OGM · pith_short_16: L3MBTQI55OGMUXVG · pith_short_8: L3MBTQI5

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/L3MBTQI55OGMUXVGNKF2QX27DJ \
  | 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: 5ed819c11deb8cca5ea66a8ba85f5f1a78761ab4cfc0c3eeb50664c5b30828f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc685433b4e8caeffe6f7fe7ecfebb6951f29d0df4163d83e107c9299e77be2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-05T13:22:12Z",
    "title_canon_sha256": "9872357548cd3890d96bf33b797453fa3185b48544cd91165d3910cd59856da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01725",
    "kind": "arxiv",
    "version": 1
  }
}