Pith Number

pith:L7YCPY4C

pith:2011:L7YCPY4CQ4MHZTGZ7GAUZNES4I

not attested not anchored not stored refs pending

On the nonexistence of $[\binom{2m}{m-1}, 2m, \binom{2m-1}{m-1}]$, $m$ odd, complex orthogonal design

Haibin Kan, Yuan Li

arxiv:1109.2891 v1 · 2011-09-13 · 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{L7YCPY4CQ4MHZTGZ7GAUZNES4I}

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	2026-05-18T04:13:07.493680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff027e38287187cccd9f9814cb492e23446601b7665246d1cdcc1b383b902f2

Aliases

arxiv: 1109.2891 · arxiv_version: 1109.2891v1 · doi: 10.48550/arxiv.1109.2891 · pith_short_12: L7YCPY4CQ4MH · pith_short_16: L7YCPY4CQ4MHZTGZ · pith_short_8: L7YCPY4C

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/L7YCPY4CQ4MHZTGZ7GAUZNES4I \
  | 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: 5ff027e38287187cccd9f9814cb492e23446601b7665246d1cdcc1b383b902f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3b74e19fbda48fb48a2f2c63b22a99e06bd893ef8d458726369f705527d8414",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-13T19:40:00Z",
    "title_canon_sha256": "3aa81ad4494b5b1f3254cf405b90fcd41657b0bd96d7a7d4f5e3e412a094e0a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2891",
    "kind": "arxiv",
    "version": 1
  }
}