Pith Number

pith:COFO6GBL

pith:2021:COFO6GBL47KJY5AFKAHPAN5KMJ

not attested not anchored not stored refs pending

Smart Radio Environments

Ana Diaz-Rubio, Andrea Alu, Andrea Massa, Benjamin Frazier, Cam Ly Nguyen, Christophe Caloz, Davide Dardari, Enrica Martini, Gabriele Gradoni, Geoffroy Lerosey, George Gordon, Hiroki Wakatsuchi, Jinghe Wang, Marco Di Renzo, Marco Salucci, Mathias Fink, Michail Matthaiou, Mitchell Kenney, Nicolo Decarli, Okan Yurduseven, Orestis Georgiou, Qiang Cheng, Sendy Phang, Sergei Tretyakov, Shi Jin, Stefano Maci, Steven Anlage, Tie Jun Cui, Vincenzo Galdi, Zhen Peng

arxiv:2111.08676 v1 · 2021-11-16 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COFO6GBL47KJY5AFKAHPAN5KMJ}

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	2026-07-05T03:32:36.579110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138aef182be7d49c7405500ef037aa624294de1c3e33b7aaae04ad7597ea9eb8

Aliases

arxiv: 2111.08676 · arxiv_version: 2111.08676v1 · doi: 10.48550/arxiv.2111.08676 · pith_short_12: COFO6GBL47KJ · pith_short_16: COFO6GBL47KJY5AF · pith_short_8: COFO6GBL

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/COFO6GBL47KJY5AFKAHPAN5KMJ \
  | 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: 138aef182be7d49c7405500ef037aa624294de1c3e33b7aaae04ad7597ea9eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2280033893a14a740ba006f440bae05e146056d86646cdec46889218976f56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2021-11-16T18:20:47Z",
    "title_canon_sha256": "5bf8502a9449e21d1cee688822d87c86ec9cbfe8a1c770480e4104f5bf4645a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08676",
    "kind": "arxiv",
    "version": 1
  }
}