Pith Number

pith:KFUCGPED

pith:2015:KFUCGPED3QXQIBRBQU2DGWHGZA

not attested not anchored not stored refs pending

Complex spherical codes with three inner products

Hiroshi Nozaki, Sho Suda

arxiv:1509.02999 v2 · 2015-09-10 · math.CO · 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{KFUCGPED3QXQIBRBQU2DGWHGZA}

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	2026-05-18T00:13:38.277456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5168233c83dc2f04062185343358e6c8165227ee9e92ce4cc7f42fdf91879c8e

Aliases

arxiv: 1509.02999 · arxiv_version: 1509.02999v2 · doi: 10.48550/arxiv.1509.02999 · pith_short_12: KFUCGPED3QXQ · pith_short_16: KFUCGPED3QXQIBRB · pith_short_8: KFUCGPED

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/KFUCGPED3QXQIBRBQU2DGWHGZA \
  | 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: 5168233c83dc2f04062185343358e6c8165227ee9e92ce4cc7f42fdf91879c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4677cf6ef9e220dd77ed8e7695dd8a4d3c2cd654a003fbab95a4a4dadb65417",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-10T03:46:55Z",
    "title_canon_sha256": "08721ca437683c5b808958ab80e5f3475af082d561949286217ee74b0d636cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02999",
    "kind": "arxiv",
    "version": 2
  }
}