Pith Number

pith:TPTLCIQP

pith:2018:TPTLCIQPVVQ7CCLD7WKIVTEKCB

not attested not anchored not stored refs pending

Communicating Using Spatial Mode Multiplexing: Potentials, Challenges and Perspectives

Abderrahmen Trichili, Boon S. Ooi, Ki-Hong Park, Mohamed-Slim Alouini, Mourad Zghal

arxiv:1808.02462 v3 · 2018-08-07 · cs.IT · eess.SP · math.IT · 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{TPTLCIQPVVQ7CCLD7WKIVTEKCB}

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	2026-05-17T23:52:15.791849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be6b1220fad61f10963fd948acc8a1048c072e1184afbf9cb7844a8675092e7

Aliases

arxiv: 1808.02462 · arxiv_version: 1808.02462v3 · doi: 10.48550/arxiv.1808.02462 · pith_short_12: TPTLCIQPVVQ7 · pith_short_16: TPTLCIQPVVQ7CCLD · pith_short_8: TPTLCIQP

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/TPTLCIQPVVQ7CCLD7WKIVTEKCB \
  | 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: 9be6b1220fad61f10963fd948acc8a1048c072e1184afbf9cb7844a8675092e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fb7dad4daa96e54a0ef64eaa0d3215295a5480ef91a21cdfc0c01d1d7293b7e",
    "cross_cats_sorted": [
      "eess.SP",
      "math.IT",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-08-07T17:12:48Z",
    "title_canon_sha256": "82b42bdbb95e7800251e335c3d85634ca29a772bec9b6e0adacc705ebda16b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02462",
    "kind": "arxiv",
    "version": 3
  }
}