Pith Number

pith:2LIGJ7LI

pith:2026:2LIGJ7LIENCUGJAEACQ2AOROCQ

not attested not anchored not stored refs pending

An eigenvalue proof of Heged\"{u}s's bound for codes with a single Hamming distance

Scott Duke Kominers

arxiv:2606.24624 v1 · 2026-06-23 · math.CO · 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{2LIGJ7LIENCUGJAEACQ2AOROCQ}

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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.

Cited by

1 paper in Pith

An Explication of Optimal Equidistant Codes

Receipt and verification

First computed	2026-06-24T01:15:37.421132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d064fd68234543240400a1a03a2e141cd130543051a71d7f48f04c653f7bcb

Aliases

arxiv: 2606.24624 · arxiv_version: 2606.24624v1 · doi: 10.48550/arxiv.2606.24624 · pith_short_12: 2LIGJ7LIENCU · pith_short_16: 2LIGJ7LIENCUGJAE · pith_short_8: 2LIGJ7LI

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/2LIGJ7LIENCUGJAEACQ2AOROCQ \
  | 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: d2d064fd68234543240400a1a03a2e141cd130543051a71d7f48f04c653f7bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f5e1addfb24984f35d20e0b9808fef5cba7bca4ec98103b88b774613bec2ac",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T14:22:09Z",
    "title_canon_sha256": "64bb30869756f87faaa7469db29d032511564a80be44e1d77f38718461a07d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24624",
    "kind": "arxiv",
    "version": 1
  }
}