Pith Number

pith:XCO5NLBP

pith:2011:XCO5NLBPQR5JCBLE62TCVDKECA

not attested not anchored not stored refs pending

Constructive spherical codes near the Shannon bound

Jean-Claude Belfiore, Patrick Sol\'e

arxiv:1101.1895 v2 · 2011-01-10 · cs.IT · math.IT

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-18T04:14:18.111086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89dd6ac2f847a910564f6a62a8d441026ea2b9f279dec71db160936e4932733

Aliases

arxiv: 1101.1895 · arxiv_version: 1101.1895v2 · doi: 10.48550/arxiv.1101.1895 · pith_short_12: XCO5NLBPQR5J · pith_short_16: XCO5NLBPQR5JCBLE · pith_short_8: XCO5NLBP

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/XCO5NLBPQR5JCBLE62TCVDKECA \
  | 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: b89dd6ac2f847a910564f6a62a8d441026ea2b9f279dec71db160936e4932733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c5d012bdc5a6d7f1c6a3a48ca16cedfa5d81e16dd37730e66c7dc99081d46d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-10T17:26:33Z",
    "title_canon_sha256": "152c551ddefc663038517bca3687c7a4de1b0b4760bee16ceae0344f555a74b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1895",
    "kind": "arxiv",
    "version": 2
  }
}