Pith Number

pith:BKVZQM35

pith:2014:BKVZQM35GZMGAZ5BEPZNFVOVIP

not attested not anchored not stored refs pending

Nonexistence of tight spherical design of harmonic index 4

Takayuki Okuda, Wei-Hsuan Yu

arxiv:1409.6995 v1 · 2014-09-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKVZQM35GZMGAZ5BEPZNFVOVIP}

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	2026-05-18T02:42:00.058891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aab98337d36586067a123f2d2d5d543ea5316d6a1d88075b54893a54a481c59

Aliases

arxiv: 1409.6995 · arxiv_version: 1409.6995v1 · doi: 10.48550/arxiv.1409.6995 · pith_short_12: BKVZQM35GZMG · pith_short_16: BKVZQM35GZMGAZ5B · pith_short_8: BKVZQM35

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/BKVZQM35GZMGAZ5BEPZNFVOVIP \
  | 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: 0aab98337d36586067a123f2d2d5d543ea5316d6a1d88075b54893a54a481c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a646b6919d021d02b7ab91ae6bc75419a2024ca979717251f17257d158b72e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-09-24T15:36:38Z",
    "title_canon_sha256": "6ef5e85b3f97c31cbc33f5133d9e5bb728322ddae1d4ba73de34bd29404ae600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6995",
    "kind": "arxiv",
    "version": 1
  }
}