Pith Number

pith:4BRLDZ5F

pith:2013:4BRLDZ5FCHFPSP746W44CL6F65

not attested not anchored not stored refs pending

MIMO Communications over Multi-Mode Optical Fibers: Capacity Analysis and Input-Output Coupling Schemes

Andrew Singer, Peter Kairouz

arxiv:1304.0422 v1 · 2013-04-01 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BRLDZ5FCHFPSP746W44CL6F65}

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	2026-05-18T03:29:16.956639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e062b1e7a511caf93ffcf5b9c12fc5f75e083a1d6084236368d1e4937af83a3e

Aliases

arxiv: 1304.0422 · arxiv_version: 1304.0422v1 · doi: 10.48550/arxiv.1304.0422 · pith_short_12: 4BRLDZ5FCHFP · pith_short_16: 4BRLDZ5FCHFPSP74 · pith_short_8: 4BRLDZ5F

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/4BRLDZ5FCHFPSP746W44CL6F65 \
  | 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: e062b1e7a511caf93ffcf5b9c12fc5f75e083a1d6084236368d1e4937af83a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f97eee86cd103e2b4868b349f9fb59c2a07f2c6350d866f2449487a8e8193d4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-01T19:15:28Z",
    "title_canon_sha256": "47a8c9ca5978b0f2a7e9e2c4833e9038cd38967d788e542d41c1a8abe3128cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0422",
    "kind": "arxiv",
    "version": 1
  }
}