Pith Number

pith:KHLL3N6O

pith:2017:KHLL3N6OUPMYCP7JCB2XEBPPQG

not attested not anchored not stored refs pending

Uniqueness of codes using semidefinite programming

Andries E. Brouwer, Sven C. Polak

arxiv:1709.02195 v2 · 2017-09-07 · math.CO · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHLL3N6OUPMYCP7JCB2XEBPPQG}

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	2026-05-17T23:59:33.183143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d6bdb7cea3d9813fe910757205ef819ad81fd56d6e76a23ae87e51a2d71bd6

Aliases

arxiv: 1709.02195 · arxiv_version: 1709.02195v2 · doi: 10.48550/arxiv.1709.02195 · pith_short_12: KHLL3N6OUPMY · pith_short_16: KHLL3N6OUPMYCP7J · pith_short_8: KHLL3N6O

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/KHLL3N6OUPMYCP7JCB2XEBPPQG \
  | 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: 51d6bdb7cea3d9813fe910757205ef819ad81fd56d6e76a23ae87e51a2d71bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742f29487fffcce1e92becc58ada63127798a465ea7e94ac75748bc28ceea4aa",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-07T12:09:04Z",
    "title_canon_sha256": "93e1ef46271bf4b42fe81773d73c2af08d55b7d9a04e6aa46a542e8e81f11fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02195",
    "kind": "arxiv",
    "version": 2
  }
}