Pith Number

pith:7WX3EEGT

pith:2017:7WX3EEGTMV55MZ27RDCSAHWSC5

not attested not anchored not stored refs pending

Optimality of codes with respect to error probability in Gaussian noise

Alexander Tsigler, Alexey Balitskiy, Roman Karasev

arxiv:1701.07986 v1 · 2017-01-27 · math.MG · 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{7WX3EEGTMV55MZ27RDCSAHWSC5}

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	2026-05-18T00:51:59.226339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdafb210d3657bd6675f88c5201ed2175d221adc7903b7d53ab8c3f59f9e5824

Aliases

arxiv: 1701.07986 · arxiv_version: 1701.07986v1 · doi: 10.48550/arxiv.1701.07986 · pith_short_12: 7WX3EEGTMV55 · pith_short_16: 7WX3EEGTMV55MZ27 · pith_short_8: 7WX3EEGT

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/7WX3EEGTMV55MZ27RDCSAHWSC5 \
  | 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: fdafb210d3657bd6675f88c5201ed2175d221adc7903b7d53ab8c3f59f9e5824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff24fd56d69a4673bace03eeb7ffafa24aa5d7219e9171808e69de4a570f9a00",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-01-27T09:46:11Z",
    "title_canon_sha256": "14cb2d41375c0518659d4db31e2a9642534c2597c83de10ab6bceaca268c962c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07986",
    "kind": "arxiv",
    "version": 1
  }
}