Pith Number

pith:EPUWVD3W

pith:2026:EPUWVD3WBZ2PG7ODY22NVFCVXM

not attested not anchored not stored refs pending

New lower bounds for binary constant-weight codes: $A(23,6,10)\geq 2979$ and $A(24,6,10)\geq 4214$

Christian Lysenstoeen

arxiv:2607.19550 v1 · 2026-07-21 · 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{EPUWVD3WBZ2PG7ODY22NVFCVXM}

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	2026-07-23T00:23:56.143151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e96a8f760e74f37dc3c6b4da9455bb3c3d0444687554b6f6b186a2f945dcd6

Aliases

arxiv: 2607.19550 · arxiv_version: 2607.19550v1 · doi: 10.48550/arxiv.2607.19550 · pith_short_12: EPUWVD3WBZ2P · pith_short_16: EPUWVD3WBZ2PG7OD · pith_short_8: EPUWVD3W

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/EPUWVD3WBZ2PG7ODY22NVFCVXM \
  | 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: 23e96a8f760e74f37dc3c6b4da9455bb3c3d0444687554b6f6b186a2f945dcd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f938f21e5f04665487e9bc063b73fd04a00b9b76bc8762aba9eccb2894c0d9",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-21T20:01:08Z",
    "title_canon_sha256": "760f193a4e743f590b36ed2498e0d3218c5244c6bd140b80f9a8518f0a287c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19550",
    "kind": "arxiv",
    "version": 1
  }
}