Pith Number

pith:X2MHB4NI

pith:2022:X2MHB4NIABO7IYAUIFUYO7GQZY

not attested not anchored not stored refs pending

Semidefinite programming bounds for binary codes from a split Terwilliger algebra

Ching-Yi Lai, Pin-Chieh Tseng, Wei-Hsuan Yu

arxiv:2203.06568 v4 · 2022-03-13 · cs.IT · math.CO · 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{X2MHB4NIABO7IYAUIFUYO7GQZY}

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	2026-07-05T06:19:15.299482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9870f1a8005df460144169877cd0ce30fe462b6859d99874640001727fdc1b

Aliases

arxiv: 2203.06568 · arxiv_version: 2203.06568v4 · doi: 10.48550/arxiv.2203.06568 · pith_short_12: X2MHB4NIABO7 · pith_short_16: X2MHB4NIABO7IYAU · pith_short_8: X2MHB4NI

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/X2MHB4NIABO7IYAUIFUYO7GQZY \
  | 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: be9870f1a8005df460144169877cd0ce30fe462b6859d99874640001727fdc1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb3b4d68b0d1e3efdc21dfd2f25bf81209e67295373608a6ea5b2d86e936659",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-03-13T05:01:37Z",
    "title_canon_sha256": "bd491aa69d9c0242d7746a09cc716c15b54ff6afebd236540b4d4f89e875a0b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06568",
    "kind": "arxiv",
    "version": 4
  }
}