Pith Number

pith:3QOBPK6Z

pith:2013:3QOBPK6Z23CKPOK4MBSPPMUKAS

not attested not anchored not stored refs pending

Tight Upper and Lower Bounds to the Information Rate of the Phase Noise Channel

Arnaldo Spalvieri, Luca Barletta, Maurizio Magarini

arxiv:1305.5352 v1 · 2013-05-23 · 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{3QOBPK6Z23CKPOK4MBSPPMUKAS}

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	2026-05-18T03:25:05.027525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1c17abd9d6c4a7b95c6064f7b28a04959e5d920474b846d8d4cc8689c63e71

Aliases

arxiv: 1305.5352 · arxiv_version: 1305.5352v1 · doi: 10.48550/arxiv.1305.5352 · pith_short_12: 3QOBPK6Z23CK · pith_short_16: 3QOBPK6Z23CKPOK4 · pith_short_8: 3QOBPK6Z

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/3QOBPK6Z23CKPOK4MBSPPMUKAS \
  | 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: dc1c17abd9d6c4a7b95c6064f7b28a04959e5d920474b846d8d4cc8689c63e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6617a2c718475ae325565a8aefefe2dff2188e0d079336dc81b15407cb63401e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-23T09:08:27Z",
    "title_canon_sha256": "f92cc5daa163b119a2e7653cec8b47648982e0d7982e3908c3a0caf64ecd9d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5352",
    "kind": "arxiv",
    "version": 1
  }
}