Pith Number

pith:KVCRL5OB

pith:2015:KVCRL5OBTSHPDGG3MQJRR7WZ5Q

not attested not anchored not stored refs pending

Sensitivity Gains by Mismatched Probabilistic Shaping for Optical Communication Systems

Alex Alvarado, Domani\c{c} Lavery, Norbert Hanik, Polina Bayvel, Robert Maher, Tobias Fehenberger

arxiv:1510.03565 v2 · 2015-10-13 · 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{KVCRL5OBTSHPDGG3MQJRR7WZ5Q}

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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	2026-05-18T01:22:47.927598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

554515f5c19c8ef198db641318fed9ec30f77496600aacd12a07fdb413a06646

Aliases

arxiv: 1510.03565 · arxiv_version: 1510.03565v2 · doi: 10.48550/arxiv.1510.03565 · pith_short_12: KVCRL5OBTSHP · pith_short_16: KVCRL5OBTSHPDGG3 · pith_short_8: KVCRL5OB

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/KVCRL5OBTSHPDGG3MQJRR7WZ5Q \
  | 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: 554515f5c19c8ef198db641318fed9ec30f77496600aacd12a07fdb413a06646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689ae22fa9b5c65ea40cbf6ac29c80c321df36abb59ce2d7cc0de0eca190cdd4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-13T08:06:12Z",
    "title_canon_sha256": "724780eade09f4ae85da241054ff386bbbde8805a5ef320b2e8eeedf3254b192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03565",
    "kind": "arxiv",
    "version": 2
  }
}