Pith Number

pith:GGUB7COR

pith:2015:GGUB7COR6O6KDKEHKKNPHFLYR7

not attested not anchored not stored refs pending

Upper Bound on the Capacity of the Nonlinear Schr\"odinger Channel

Frank R. Kschischang, Gerhard Kramer, Mansoor I. Yousefi

arxiv:1502.06455 v2 · 2015-02-23 · 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{GGUB7COR6O6KDKEHKKNPHFLYR7}

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	2026-05-18T02:19:52.232099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a81f89d1f3bca1a887529af395788feafd2244934bfaea5ee06770048dc260

Aliases

arxiv: 1502.06455 · arxiv_version: 1502.06455v2 · doi: 10.48550/arxiv.1502.06455 · pith_short_12: GGUB7COR6O6K · pith_short_16: GGUB7COR6O6KDKEH · pith_short_8: GGUB7COR

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/GGUB7COR6O6KDKEHKKNPHFLYR7 \
  | 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: 31a81f89d1f3bca1a887529af395788feafd2244934bfaea5ee06770048dc260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3afd5f66e278cfcdbf9024e5001148d402b3e6ed1103a7f8ff7d99ea074632ae",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-02-23T15:02:50Z",
    "title_canon_sha256": "e2ababc7134888ed5753c3dcdde64103c4f4069b0fd7a17bd31b33250ed5fede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06455",
    "kind": "arxiv",
    "version": 2
  }
}