Pith Number

pith:6EU4BVP3

pith:2011:6EU4BVP3DUCDBRVPCFZTRJTZFP

not attested not anchored not stored refs pending

Mode-Dependent Loss and Gain: Statistics and Effect on Mode-Division Multiplexing

Joseph M. Kahn, Keang-Po Ho

arxiv:1105.3533 v1 · 2011-05-18 · physics.optics · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EU4BVP3DUCDBRVPCFZTRJTZFP}

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	2026-05-18T03:36:37.195518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f129c0d5fb1d0430c6af117338a6792bc4a51b1111f7dab79e2ef36bfab83d7c

Aliases

arxiv: 1105.3533 · arxiv_version: 1105.3533v1 · doi: 10.48550/arxiv.1105.3533 · pith_short_12: 6EU4BVP3DUCD · pith_short_16: 6EU4BVP3DUCDBRVP · pith_short_8: 6EU4BVP3

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/6EU4BVP3DUCDBRVPCFZTRJTZFP \
  | 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: f129c0d5fb1d0430c6af117338a6792bc4a51b1111f7dab79e2ef36bfab83d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70279feedd7b218a56065e8d2c78a9b6d52e74b4ab0985959f2ba4ff21d671dc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-05-18T05:10:19Z",
    "title_canon_sha256": "0df566ea77e653c3722c726faec4af7e8d26a1898a0471fb0ae90ecc9bb0068b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3533",
    "kind": "arxiv",
    "version": 1
  }
}